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Research Group

Nonlinear Algebra - Publications

Explore the scholarly works of the "Nonlinear Algebra" group. Browse journal articles, contributions in books and conference proceedings, academic theses, or discover our latest research through preprints.

inJournal
2027 Journal Open Access
Marta Casanellas, Jennifer Garbett, Roser Homs, Annachiara Korchmaros and Niharika Chakrabarty Paul

Computing phylogenetic invariants for time-reversible models : from TN93 to its submodels

In: Journal of symbolic computation, 139 (2027), p. 102610
BibTex DOI: 10.1016/j.jsc.2026.102610 ArXiv: 2505.20526
inJournal
2027 Journal Open Access
Flavio Salizzoni, Luca Sodomaco and Julian Weigert

Nonlinear Rayleigh quotient optimization

In: Journal of algebra, 710 (2027), pp. 716-746
BibTex DOI: 10.1016/j.jalgebra.2026.08.015 ArXiv: 2510.17760
inJournal
2026 Journal Open Access
Carlos Améndola, Benjamin Hollering and Francesco Nowell

A PC algorithm for max-linear Bayesian networks

In: Journal of computational and graphical statistics, (2026)
BibTex DOI: 10.1080/10618600.2026.2673046 ArXiv: 2508.13967
Preprint
2026 Repository Open Access
Stefano Mereta and Alejandro Vargas

About finite differential tropical basis for linear ODE's

BibTex ArXiv: 2608.06018
Preprint
2026 Repository Open Access
Tobias Boege, Antony Della Vecchia, Marina Garrote-López and Benjamin Hollering

Algebraic statistics in OSCAR

BibTex ArXiv: 2601.15807
inJournal
2026 Journal Open Access
Antony Della Vecchia, Michael Joswig and Fabian Lenzen

An empirically fast Las Vegas algorithm for algebraic shifting

In: Journal of symbolic computation, 137 (2026), p. 102582
BibTex DOI: 10.1016/j.jsc.2026.102582 ArXiv: 2501.17908
Preprint
2026 Repository Open Access
Andrei Balakin, Miklós Bóna, Marie-Charlotte Brandenburg, Clara Briand, Veronica Calvo Cortes, Shelby Cox, Jesús A. De Loera, Danai Deligeorgaki, Hannah Friedman, Tim Gehrunger, Chiara Giardino, Stephen Griffeth, Baran Hashemi, Elena Hoster, Alexander Ivanov, Nupur Jain, Aryaman Jal, Leonie Kayser, Joris Koefler, Kevin Kühn, Mario Kummer, Felix Lotter, René Marczinzik, Victor S. Miller, Alejandro H. Morales, Greta Panova, Gianni Petrella, Nathan Pflueger, Lakshmi Ramesh, Nikolas Rieke, Carlos Rodriguez, Andrea Rosana, Flavio Salizzoni, Otto T. P. Schmidt, Sven Ulf Schmitz, Lina Maria Simbaqueba Marin, Luca Sodomaco, Christian Stump, Bernd Sturmfels, Alexander Taveira Blomenhofer, Simon Telen, Philipp Tuchel, Emil Verkama, Carl Felix Waller, Julian Weigert, Annette Werner, Nathan Williams and Claudius Zibrowius

Benchmarks in Leipzig : a collection of questions in research-level mathematics

BibTex ArXiv: 2606.05818
inJournal
2026 Journal Open Access
Tetsuya Abe, Marc Kegel and Nicolas Weiss

Complexity of equal 0-surgeries

In: New York journal of mathematics, 32 (2026), pp. 394-422
BibTex ArXiv: 2401.06015 Link: nyjm.albany.edu
Academic
2026 Repository Open Access
Leonie Kayser

Computation and complexity in algebraic geometry

Dissertation, Universität Leipzig, 2026
BibTex Link: nbn-resolving.org
Preprint
2026 Repository Open Access
Viktoriia Borovik, Claire de Korte, Nathan Meurrens and Dmitrii Pavlov

Constraining conformal correlators

BibTex ArXiv: 2605.31491
Preprint
2026 Repository Open Access
Kamillo Ferry, Michael Joswig and Jörg Rambau

Counting symmetric unimodular triangulations

BibTex ArXiv: 2605.14150
Preprint
2026 Repository Open Access
Viktoriia Borovik and Clara Briand

Degenerating ciscriminants

BibTex ArXiv: 2607.17966
Preprint
2026 Repository Open Access
Andrea Rosana and Otto T. P. Schmidt

Degree of tensor train varieties via integral geometry

BibTex ArXiv: 2606.11847
inJournal
2026 Journal Open Access
Sandra Di Rocco, Bernd Sturmfels and Svala Sverrisdóttir

Eigenvector varieties

In: Advances in applied mathematics, 181 (2026), p. 103146
BibTex DOI: 10.1016/j.aam.2026.103146 ArXiv: 2606.20432
Preprint
2026 Repository Open Access
Viktoriia Borovik and Takayuki Hibi

Elimination ideals of Plücker ideals and algebras with straightening laws

BibTex ArXiv: 2601.06897
Preprint
2026 Repository Open Access
Serkan Hoşten, Niharika Chakrabarty Paul, Otto T. P. Schmidt and Dmitry Skurt

Equations of tree tensor network varieties

BibTex ArXiv: 2608.19071
Preprint
2026 Repository Open Access
Otto T. P. Schmidt and Iacopo Carusotto

Excitation spectra and rank tomography of linear matrix product tangent spaces

BibTex ArXiv: 2607.05269
Preprint
2026 Repository Open Access
Eric Pichon-Pharabod and Simon Telen

Galois groups of symmetric cubic surfaces

BibTex ArXiv: 2509.06785
Preprint
2026 Repository Open Access
Eduardo Camps Moreno, Flavio Salizzoni and Rodrigo San-José

Generalized Hamming weights of codes arising from complete intersection

BibTex ArXiv: 2608.19978
Preprint
2026 Repository Open Access
Angelo El Saliby

Highly regular vertex-transitive graphs are globally rigid

BibTex ArXiv: 2601.11240
Preprint
2026 Repository Open Access
Barbara Betti, Sean Grate, Thiago Holleben and Flavio Salizzoni

Incidence toric ideals and three-point functions

BibTex ArXiv: 2605.23849
Preprint
2026 Repository Open Access
Benjamin Hollering, Elia Mazzucchelli, Matteo Parisi and Bernd Sturmfels

Landau analysis in the Grassmannian

BibTex ArXiv: 2603.25454
inJournal
2026 Journal Open Access
Francesco Maria Mascarin and Simon Telen

Lissajous varieties

In: Advances in geometry, 26 (2026) 2, pp. 263-282
BibTex DOI: 10.1515/advgeom-2026-0008 ArXiv: 2509.06844
Preprint
2026 Repository Open Access
Benjamin Hollering, Dmitrii Pavlov and Elizabeth Pratt

Log canonical models and positive geometries

BibTex ArXiv: 2607.28368
Preprint
2026 Repository Open Access
Elizabeth Pratt, Luca Sodomaco and Bernd Sturmfels

Multigraded Hurwitz forms

BibTex ArXiv: 2602.19563
Preprint
2026 Repository Open Access
Luca Sodomaco and Julian Weigert

Nash loci

BibTex ArXiv: 2608.27300
Preprint
2026 Repository Open Access
Fabian Faulstich, Vincenzo Galgano, Elke Neuhaus and İrem Portakal

On the coupled cluster doubles truncation variety of four electrons

BibTex ArXiv: 2602.16580
Preprint
2026 Repository Open Access
Jan Draisma, Linda Hoyer and İrem Portakal

On the dimensions of correlated equilibrium polytopes of generic games

BibTex ArXiv: 2608.04924
Preprint
2026 Repository Open Access
Felix Lotter and Rosa Preiß

Piecewise symmetric tensors

BibTex ArXiv: 2607.04712
inJournal
2026 Journal Open Access
Margaret Bayer, Richard Danner, Thiago Holleben, Marie Kramer and Yirong Yang

Planar ternary graphs, flag spheres, and Delannoy polynomials

In: The electronic journal of combinatorics, 33 (2026) 3, P3.66
BibTex DOI: 10.37236/14802 ArXiv: 2509.21705
Preprint
2026 Repository Open Access
Clara Briand, Leonie Kayser and Julian Weigert

Polar degrees of matroids

BibTex ArXiv: 2606.26281
Preprint
2026 Repository Open Access
Thiago Holleben and Yirong Yang

Polytopal Bier spheres and nonrealizable central symmetries

BibTex ArXiv: 2608.07233
inJournal
2026 Journal Open Access
Veronica Calvo Cortes and Simon Telen

Positive charts of toric varieties

In: Collectanea mathematica, (2026)
BibTex DOI: 10.1007/s13348-026-00518-x ArXiv: 2602.16414
Preprint
2026 Repository Open Access
Joris Koefler, Dmitrii Pavlov and Rainer Sinn

Positive genus pairs from amplituhedra

BibTex ArXiv: 2601.11142
Preprint
2026 Repository Open Access
Bernd Sturmfels and Simon Telen

Positive geometries from cubic surfaces

BibTex ArXiv: 2605.11909
Preprint
2026 Repository Open Access
Mattia Arundine, Veronica Calvo Cortes, Joris Koefler and Facundo Rost

Positive geometry of Yang-Mills correlators

BibTex ArXiv: 2608.27594
inJournal
2026 Journal Open Access
Benjamin Hollering, Elia Mazzucchelli, Matteo Parisi and Bernd Sturmfels

Positivity and cluster structures in Landau analysis

In: Physical review / D, 114 (2026) 6, p. 066014
BibTex DOI: 10.1103/cgg7-wyg7 ArXiv: 2603.25493
Preprint
2026 Repository Open Access
Saiei-Jaeyeong Matsubara-Heo and Simon Telen

Principal matroid determinants

BibTex ArXiv: 2604.24667
inJournal
2026 Repository Open Access
Matthias Himmelmann, Bernd Schulze and Martin Winter

Rigidity of polytopes with edge length and coplanarity constraints

In: International mathematics research notices, 2026 (2026) 7, rnag055
BibTex DOI: 10.1093/imrn/rnag055 ArXiv: 2505.00874
Preprint
2026 Repository Open Access
Carlos Améndola, Felix Lotter and Leonard Schmitz

Signature varieties of splines

BibTex ArXiv: 2602.13011
Preprint
2026 Repository Open Access
Türkü Özlüm Celik, Vincenzo Antonio Isoldi, İrem Portakal and Giulio Zucal

Stable coexistence in ecologies and games

BibTex ArXiv: 2609.09286
inJournal
2026 Journal Open Access
Rohit Nagpal, Andrew Snowden and Teresa Yu

Symmetric modules over the infinite polynomial ring I : nilpotent quotients

In: Forum of mathematics / Sigma, 14 (2026), e115
BibTex DOI: 10.1017/fms.2026.10262 ArXiv: 2508.04624
Preprint
2026 Repository Open Access
Monique Laurent, Francesco Maria Mascarin and Simon Telen

The algebraic boundary of graph elliptopes

BibTex ArXiv: 2605.02484
Preprint
2026 Repository Open Access
Serkan Hoşten, Vadym Kurylenko, Elke Neuhaus and Nikolas Rieke

The Euler stratification for \(\mathbb{P}^1 \times \mathbb{P}^1 \times \mathbb{P}^n\)

BibTex ArXiv: 2603.19184
inJournal
2026 Repository Open Access
Marzio Mula, Federico Pintore and Daniele Taufer

The Hessian of elliptic curves as a Lattès map

In: Mathematics of computation, (2026)
BibTex DOI: 10.1090/mcom/4277 ArXiv: 2407.17042
Preprint
2026 Repository Open Access
Hadleigh Frost and Felix Lotter

The universe fan

BibTex ArXiv: 2602.21194
inJournal
2026 Journal Open Access
Laura Casabella, Lars Kastner and Raluca Vlad

Tropical elliptic curves in 3-space

In: Journal of algebra, 698 (2026), pp. 373-388
BibTex DOI: 10.1016/j.jalgebra.2026.03.016 ArXiv: 2507.21958
inJournal
2026 Repository Open Access
Shelby Cox, John Sabol, Roan Talbut and Ruriko Yoshida

Tropical Fermat-Weber points over spaces of \(M\)-ultrametrics

In: Vietnam journal of mathematics, (2026)
BibTex DOI: 10.1007/s10013-026-00799-6 ArXiv: 2505.09584
inJournal
2026 Journal Open Access
Hirotachi Abo, İrem Portakal and Luca Sodomaco

A vector bundle approach to Nash equilibria

In: Advances in applied mathematics, 175 (2026), p. 103028
BibTex DOI: 10.1016/j.aam.2025.103028 ArXiv: 2504.03456 Code: mathrepo.mis.mpg.de
Preprint
2026 Repository Open Access
Anaëlle Pfister

Affine hyperplane arrangements at finite distance

BibTex ArXiv: 2602.00847
Preprint
2026 Repository Open Access
Svala Sverrisdóttir and Fabian Faulstich

Algebraic geometry for spin-adapted coupled cluster theory

BibTex ArXiv: 2601.16646
inJournal
2026 Journal Open Access
Thomas Kahle, Lukas Kühne, Leonie Mühlherr, Bernd Sturmfels and Maximilian Wiesmann

Arrangements and likelihood

In: Vietnam journal of mathematics, (2026)
BibTex DOI: 10.1007/s10013-026-00790-1 ArXiv: 2411.09508 Code: mathrepo.mis.mpg.de
inJournal
2026 Journal Open Access
Carlos Rodriguez and Anna-Laura Sattelberger

Border bases in the rational Weyl algebra

In: Advances in applied mathematics, 177 (2026), p. 103065
BibTex DOI: 10.1016/j.aam.2026.103065 ArXiv: 2510.23411
inJournal
2026 Repository Open Access
Jane Ivy Coons, Heather A. Harrington and Niharika Chakrabarty Paul

Combinatorial geometry of rational quasi-independence models as toric fiber products

In: Algebraic statistics, 17 (2026) 1, pp. 1-31
BibTex DOI: 10.2140/astat.2026.17.1 ArXiv: 2405.13897
inJournal
2026 Journal Open Access
Joseph Cummings and Benjamin Hollering

Computing implicitizations of multi-graded polynomial maps

In: Journal of symbolic computation, 132 (2026), p. 102459
BibTex DOI: 10.1016/j.jsc.2025.102459 ArXiv: 2311.07678 Code: mathrepo.mis.mpg.de
inJournal
2026 Journal Open Access
Carlos Améndola, Angelo El Saliby, Felix Lotter and Oriol Reig Fité

Computing path signature varieties in Macaulay2

In: Journal of software for algebra and geometry, 16 (2026) 1, pp. 45-57
BibTex DOI: 10.2140/jsag.2026.16.45 ArXiv: 2506.01429
inJournal
2026 Journal Open Access
Kemal Rose and Máté Telek

Computing positive tropical varieties and lower bounds on the number of positive roots

In: Journal of symbolic computation, 132 (2026), p. 102477
BibTex DOI: 10.1016/j.jsc.2025.102477 ArXiv: 2408.15719
inJournal
2026 Repository Open Access
Hadleigh Frost, Martijn Hidding, Deepak Kamlesh, Carlos Rodriguez, Oliver Schlotterer and Bram Verbeek

Deriving motivic coactions and single-valued maps at genus zero from zeta generators

In: Communications in number theory and physics, 20 (2026) 2, pp. 391-460
BibTex DOI: 10.4310/CNTP.260606020438 ArXiv: 2503.02096
Preprint
2026 Repository Open Access
Hannah Friedman, Andrea Rosana and Bernd Sturmfels

Distance optimization in the Grassmannian of lines

BibTex ArXiv: 2601.22843
Preprint
2026 Repository Open Access
Veronica Calvo Cortes and Hadleigh Frost

Dyck paths, configuration spaces and polytopes for linear Nakayama algebras

BibTex ArXiv: 2602.04571
inJournal
2026 Journal Open Access
Mario Bauer, Matěj Doležálek, Magdalena Misinova, Semen Słobodianiuk and Julian Weigert

Equivariant Tutte polynomial

In: Discrete and computational geometry, 76 (2026) 1, 253–297
BibTex DOI: 10.1007/s00454-025-00773-y ArXiv: 2312.00913
inBook
2026 Journal Open Access
Nicolas Weiss and Lakshmi Ramesh

Exact volumes of semi-algebraic convex bodies

In: ISSAC '26 : 51st international symposium on symbolic and algebraic computation ; Oldenburg, Germany July 13 - 17, 2026 / Christoph Koutschan... (eds.)
New York : Association for Computing Machinery, 2026. - pp. 388-396
BibTex DOI: 10.1145/3815436.381547 ArXiv: 2602.04707
inJournal
2026 Repository Open Access
Yassine El Maazouz, Bernd Sturmfels and Svala Sverrisdóttir

Gram matrices for isotropic vectors

In: Communications in mathematical physics, 407 (2026) 10, p. 212
BibTex DOI: 10.1007/s00220-026-05704-3 ArXiv: 2411.08624
inJournal
2026 Journal Open Access
Alheydis Geiger, Kevin Kühn and Raluca Vlad

Graph curve matroids

In: Beiträge zur Algebra und Geometrie, (2026)
BibTex DOI: 10.1007/s13366-026-00854-w ArXiv: 2311.08332 Code: mathrepo.mis.mpg.de
inJournal
2026 Journal Open Access
Fuensanta Aroca, Lara Bossinger, Sebastian Falkensteiner, Cristhian Garay-López, Laura Rocio González-Ramírez and Carla V. Valencia Negrete

Infinite matroids in tropical differential algebra

In: Canadian mathematical bulletin, 69 (2026) 1, pp. 201-221
BibTex DOI: 10.4153/S0008439525101094 ArXiv: 2305.04784
inJournal
2026 Journal Open Access
Veronica Calvo Cortes, Hadleigh Frost and Bernd Sturmfels

Kinematic stratifications

In: Discrete and computational geometry, (2026)
BibTex DOI: 10.1007/s00454-026-00862-6 ArXiv: 2503.09571
inJournal
2026 Repository Open Access
Alessandro De Stefani, Jonathan Montaño, Luis Núñez-Betancourt, Lisa Seccia and Matteo Varbaro

Ladder determinantal varieties and their symbolic blowups

In: Mathematische Zeitschrift, 312 (2026) 3, p. 92
BibTex DOI: 10.1007/s00209-026-03954-4 ArXiv: 2305.18167
inJournal
2026 Journal Open Access
Tabea Bacher, Marina Garrote-López, Christiane Görgen and Marius Neubert

Making mathematical online resources FAIR : at the example of small phylogenetic trees

In: Notices of the American Mathematical Society, 73 (2026) 5, pp. 377-387
BibTex DOI: 10.1090/noti3332 ArXiv: 2501.10823
inJournal
2026 Journal Open Access
Nils Sturma, Miriam Kranzlmueller, İrem Portakal and Mathias Drton

Matching criterion for identifiability in sparse factor analysis

In: Psychometrika, 91 (2026) 2, 536–555
BibTex DOI: 10.1017/psy.2026.10079 ArXiv: 2502.02986
inJournal
2026 Repository Open Access
Jane Ivy Coons, Shelby Cox, Aida Maraj and Ikenna Nometa

ML degrees of Brownian motion tree models : star trees and root invariance

In: Journal of symbolic computation, 132 (2026), p. 102482
BibTex DOI: 10.1016/j.jsc.2025.102482 ArXiv: 2402.10322
inJournal
2026 Journal Open Access
Oskar Henriksson, Kristian Ranestad, Lisa Seccia and Teresa Yu

Moment varieties of the inverse Gaussian and gamma distributions are nondefective

In: Journal of symbolic computation, 132 (2026), p. 102460
BibTex DOI: 10.1016/j.jsc.2025.102460 ArXiv: 2409.18421
inJournal
2026 Journal Open Access
Carlos Améndola, Viet Duc Nguyen and Janike Oldekop

One-dimensional discrete models of maximum likelihood degree one

In: Advances in applied mathematics, 178 (2026), p. 103095
BibTex DOI: 10.1016/j.aam.2026.103095 ArXiv: 2507.18686 Code: mathrepo.mis.mpg.de
inJournal
2026 Journal Open Access
Ibrahim Ahmad, Ghislain Fourier and Michael Joswig

Order and chain polytopes of maximal ranked posets

In: Discrete applied mathematics, 390 (2026), pp. 28-39
BibTex DOI: 10.1016/j.dam.2026.03.036 ArXiv: 2309.01626
inJournal
2026 Journal Open Access
Sandra Di Rocco, Kemal Rose and Luca Sodomaco

Osculating geometry and higher-order distance Loci

In: The journal of the London Mathematical Society, 113 (2026) 3, e70509
BibTex DOI: 10.1112/jlms.70509 ArXiv: 2507.02823
inJournal
2026 Journal Open Access
Teresa Yu

Parabolic-equivariant modules over polynomial rings in infinitely many variables

In: Selecta mathematica, 32 (2026) 1, p. 2
BibTex DOI: 10.1007/s00029-025-01107-9 ArXiv: 2407.02588
inJournal
2026 Journal Open Access
Teresa Yu and Claire de Korte

Partial fraction decompositions on hyperplane arrangements

In: Journal of physics / A, 59 (2026) 28, p. 285206
BibTex DOI: 10.1088/1751-8121/ae8728 ArXiv: 2602.06531
inJournal
2026 Journal Open Access
Dmitrii Pavlov and Kristian Ranestad

Positive polytopes with few facets in the Grassmannian

In: Experimental mathematics, (2026)
BibTex DOI: 10.1080/10586458.2025.2595003 ArXiv: 2503.01652 Code: mathrepo.mis.mpg.de
inJournal
2026 Journal Open Access
Oliver Clarke, Akihiro Higashitani and Francesca Zaffalon

Restricted chain-order polytopes via combinatorial mutations

In: European journal of combinatorics, 133 (2026), p. 104326
BibTex DOI: 10.1016/j.ejc.2025.104326 ArXiv: 2211.07995
inJournal
2026 Journal Open Access
Tobias Boege, Jesse Selover and Maksym Zubkov

Sign patterns of principal minors of real symmetric matrices

In: Linear algebra and its applications, 738 (2026), pp. 161-188
BibTex DOI: 10.1016/j.laa.2026.02.029 ArXiv: 2407.17826 Code: mathrepo.mis.mpg.de
inJournal
2026 Repository Open Access
Felix Lotter and Leonard Schmitz

Signature matrices of membranes

In: Algebraic statistics, 17 (2026) 1, pp. 75-99
BibTex DOI: 10.2140/astat.2026.17.75 ArXiv: 2409.11996
inJournal
2026 Repository Open Access
Hannah Friedman, Bernd Sturmfels and Maximilian Wiesmann

Squared linear models

In: SIAM journal on applied algebra and geometry, 10 (2026) 2, pp. 153-173
BibTex DOI: 10.1137/25M1763998 ArXiv: 2505.19351 Code: mathrepo.mis.mpg.de
inJournal
2026 Repository Open Access
Bernhard Reinke and Rob Silversmith

Stable curves and chromatic polynomials

In: Advances in mathematics, 501 (2026), p. 111110
BibTex DOI: 10.1016/j.aim.2026.111110 ArXiv: 2411.17551
inJournal
2026 Repository Open Access
Alex Elzenaar, Gaven Martin and Jeroen Schillewaert

The combinatorics of Farey words and their traces

In: Groups, geometry, and dynamics, 20 (2026) 1, pp. 215-256
BibTex DOI: 10.4171/GGD/832 ArXiv: 2204.08076 Code: mathrepo.mis.mpg.de
inJournal
2026 Journal Open Access
Thomas Kahle, Hal Schenck, Bernd Sturmfels and Maximilian Wiesmann

The likelihood correspondence

In: Foundations of computational mathematics, (2026)
BibTex DOI: 10.1007/s10208-026-09755-9 ArXiv: 2503.02536
inJournal
2026 Journal Open Access
Julia Lindberg and Pierpaola Santarsiero

The symmetric geometric rank of symmetric tensors

In: Collectanea mathematica, 77 (2026) 3, 791–813
BibTex DOI: 10.1007/s13348-025-00491-x ArXiv: 2303.17537
inJournal
2026 Journal Open Access
Simon Telen

Toric amplitudes and universal adjoints

In: The journal of the London Mathematical Society, 113 (2026) 2, e70468
BibTex DOI: 10.1112/jlms.70468 ArXiv: 2504.00897 Code: mathrepo.mis.mpg.de
inJournal
2026 Journal Open Access
Karel Devriendt and Raffaella Mulas

Uniform density in matroids, matrices and graphs

In: The Australasian journal of combinatorics, 94 (2026) 1, pp. 145-176
BibTex ArXiv: 2306.15267 MiS Preprint Link: ajc.maths.uq.edu.au
inJournal
2026 Journal Open Access
Weixun Deng, J. Maurice Rojas and Máté Telek

Viro's patchworking and the signed reduced A-discriminant

In: Journal of symbolic computation, 132 (2026), p. 102462
BibTex DOI: 10.1016/j.jsc.2025.102462 ArXiv: 2403.08497
inJournal
2026 Repository Open Access
Laura Casabella, Michael Joswig and Rafael Mohr

Wronski pairs of honeycomb curves

In: Journal of symbolic computation, 135 (2026), p. 102528
BibTex DOI: 10.1016/j.jsc.2025.102528 ArXiv: 2411.10776
Preprint
2025 Repository Open Access
Gonzalo Rodríguez-Pajares, Diego Ruano and Flavio Salizzoni

A combinatorial description of when a self-associated set of points fails to be arithmetically Gorenstein

BibTex ArXiv: 2512.16766
inJournal
2025 Journal Open Access
Nick Early

Adventures in configuration space [In: Mini-Workshop : Alcoved polytopes in physics and optimization ; 2 March - 7 March 2025 ; report no. 12/2025]

In: Oberwolfach reports, 22 (2025) 1, pp. 536-537
BibTex DOI: 10.4171/OWR/2025/12 Link: publications.mfo.de
inBook
2025 Repository Open Access
Bernd Sturmfels

Adventures in mentoring

In: Combinatorial, computational, and applied algebraic geometry : a tribute to Bernd Sturmfels / Serkan Hoşten... (eds.)
Providence, RI : American Mathematical Society, 2025.
(Proceedings of symposia in pure mathematics ; 111)
BibTex DOI: 10.1090/pspum/111/02036 Link: math.berkeley.edu
Preprint
2025 Repository Open Access
Clemens Brüser and Julian Weigert

Geometry of adjoint hypersurfaces for polytopes

BibTex ArXiv: 2511.13537
Academic
2025 Repository Open Access
Barbara Betti

Khovanskii and Gröbner degenerations in computational commutative algebra

Dissertation, Universität Leipzig, 2025
BibTex Link: nbn-resolving.org
Preprint
2025 Repository Open Access
Andrei Balakin, Shelby Cox and Bernd Sturmfels

Maxout polytopes

BibTex ArXiv: 2509.21286
inJournal
2025 Journal Open Access
Nick Early, Lukas Kühne, Leonid Monin and Josephine Yu

Mini-Workshop : Alcoved polytopes in physics and optimization ; 2 March - 7 March 2025 ; report no. 12/2025

In: Oberwolfach reports, 22 (2025) 1, pp. 531-558
BibTex DOI: 10.4171/OWR/2025/12 Link: https://publications.mfo.de
Preprint
2025 Repository Open Access
Flavio Salizzoni, Luca Sodomaco and Julian Weigert

Nonlinear Kalman varieties

BibTex ArXiv: 2512.16540
Preprint
2025 Repository Open Access
Viktoriia Borovik, Hannah Friedman, Serkan Hoşten and Max Pfeffer

Numerical algebraic geometry for energy computations on tensor train varieties

BibTex ArXiv: 2512.06939
Preprint
2025 Repository Open Access
Viktoriia Borovik, Cosimo Flavi, Paweł Pielasa, Anatoli Shatsila and Jeyoung Song

On the construction of a counterexample to Strassen's rank additivity conjecture

BibTex ArXiv: 2507.17890
Preprint
2025 Repository Open Access
Tobias Boege, Kamillo Ferry, Benjamin Hollering and Francesco Nowell

Polyhedral aspects of maxoids

BibTex ArXiv: 2504.21068
inJournal
2025
Celia Hacker, Leonie Kayser and Mireille Soergel

Queer in Math Day 2024 : held at the Max Planck Institute for Mathematics in the Sciences (MPI-MiS), Leipzig, June 6, 2024

In: Mitteilungen der Deutschen Mathematiker-Vereinigung, 33 (2025) 1, pp. 51-55
BibTex DOI: 10.1515/dmvm-2025-0015
Academic
2025
Laura Casabella

Regular subdivisions in algebraic, tropical and metric geometry

Dissertation, Universität Leipzig, 2025
BibTex
Preprint
2025 Repository Open Access
Carlos Améndola, Tobias Boege, Benjamin Hollering and Pratik Misra

Structural identifiability ofgGraphical continuous Lyapunov models

BibTex ArXiv: 2510.04985
Preprint
2025 Repository Open Access
Laura Casabella and Alessio Sammartano

The variety of orthogonal frames

BibTex ArXiv: 2512.25058
Preprint
2025 Repository Open Access
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Toric extensions of Pólya's theorem

BibTex ArXiv: 2511.07342
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Totally mixed conditional independence equilibria of generic games

BibTex ArXiv: 2511.11467
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In: Oberwolfach reports, 22 (2025) 1, pp. 535-536
BibTex DOI: 10.4171/OWR/2025/12 Link: publications.mfo.de
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Wronskians form the inverse system of the arcs of a double point

In: Journal of algebraic combinatorics, 62 (2025) 4, p. 53
BibTex DOI: 10.1007/s10801-025-01474-8 ArXiv: 2405.08964
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(Random) trees of intermediate volume growth

In: Random structures and algorithms, 67 (2025) 4, e70035
BibTex DOI: 10.1002/rsa.70035
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A double copy from twisted (co)homology at genus \(g\)

BibTex ArXiv: 2509.01598
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A geometric invariant of linear rank-metric codes

In: SIAM journal on applied algebra and geometry, 9 (2025) 4, pp. 741-764
BibTex DOI: 10.1137/24M1713910 ArXiv: 2411.19087
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In: Physical review research, 7 (2025) 2, p. 023016
BibTex DOI: 10.1103/PhysRevResearch.7.023016 ArXiv: 2404.14423
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BibTex DOI: 10.4171/DM/991 ArXiv: 2108.11747 Code: mathrepo.mis.mpg.de
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Algebraic and positive geometry of the universe : from particles to galaxies

In: Notices of the American Mathematical Society, 72 (2025) 8, pp. 808-817
BibTex DOI: 10.1090/noti3220 ArXiv: 2502.13582
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Algebraic approaches to cosmological integrals

In: Le Matematiche, 80 (2025) 1, pp. 303-324
BibTex ArXiv: 2410.14757 Link: lematematiche.dmi.unict.it
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Algebraic degree of optimization over a variety with an application to \(P\)-norm distance degree

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In: Advances in applied mathematics, 170 (2025), p. 102930
BibTex DOI: 10.1016/j.aam.2025.102930 ArXiv: 2308.11538 Code: mathrepo.mis.mpg.de
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BibTex DOI: 10.1137/23M1626517 ArXiv: 2312.14762 Code: mathrepo.mis.mpg.de
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Algebraic varieties in quantum chemistry

In: Foundations of computational mathematics, 25 (2025) 4, pp. 1167-1198
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Algorithm for globally identifiable reparametrizations of ODEs

In: Journal of symbolic computation, 128 (2025), p. 102385
BibTex DOI: 10.1016/j.jsc.2024.102385 ArXiv: 2401.00762
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An effective positivstellensatz over the rational numbers for finite semialgebraic sets

In: Mathematics of computation, (2025)
BibTex DOI: 10.1090/mcom/4153 ArXiv: 2410.04845 Link: hal.science
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Arithmetic of D-algebraic functions

In: Journal of symbolic computation, 126 (2025), p. 102348
BibTex DOI: 10.1016/j.jsc.2024.102348 ArXiv: 2305.00702 Code: mathrepo.mis.mpg.de
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In: Communications in contemporary mathematics, 27 (2025) 4, p. 2450026
BibTex DOI: 10.1142/S0219199724500263 ArXiv: 2304.01773
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Binary geometries from pellytopes

In: Le Matematiche, 80 (2025) 1, pp. 189-209
BibTex ArXiv: 2410.08002 Link: lematematiche.dmi.unict.it
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Michael Borinsky, Chiara Meroni and Maximilian Wiesmann

Bivariate exponential integrals and edge-bicolored graphs

In: Le Matematiche, 80 (2025) 1, pp. 167-187
BibTex ArXiv: 2409.18607 Link: lematematiche.dmi.unict.it Code: mathrepo.mis.mpg.de
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Zaïneb Bel-Afia, Chiara Meroni and Simon Telen

Chebyshev varieties

In: Mathematics of computation, 95 (2026), pp. 2061-2089
BibTex DOI: 10.1090/mcom/4125 ArXiv: 2401.12140
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Classification of prime modules of quantum affine algebras corresponding to 2-column tableaux

In: Journal of algebraic combinatorics, 62 (2025) 1, p. 6
BibTex DOI: 10.1007/s10801-025-01435-1 ArXiv: 2406.16879
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Arthur Bik and Orlando Marigliano

Classifying one-dimensional discrete models with maximum likelihood degree one

In: Advances in applied mathematics, 170 (2025), p. 102928
BibTex DOI: 10.1016/j.aam.2025.102928 ArXiv: 2205.09547 Code: mathrepo.mis.mpg.de
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In: Experimental mathematics, 34 (2025) 2, pp. 212-224
BibTex DOI: 10.1080/10586458.2024.2340000 ArXiv: 2209.13938 Code: mathrepo.mis.mpg.de
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Complete monotonicity of log-functions

In: Analysis and mathematical physics, 15 (2025) 6, p. 141
BibTex DOI: 10.1007/s13324-025-01136-9 ArXiv: 2505.04225
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Leonie Kayser

Computational complexity of polynomial subalgebras

In: ISSAC '25 : proceedings of the 2025 international symposium on symbolic and algebraic computation / Carlos D’Andrea... (eds.)
New York, NY : ACM, 2025. - pp. 337 - 344
BibTex DOI: 10.1145/3747199.3747578 ArXiv: 2502.05278 Code: mathrepo.mis.mpg.de
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In: Journal of software for algebra and geometry, 15 (2025) 1, pp. 11-27
BibTex DOI: 10.2140/jsag.2025.15.11 ArXiv: 2409.09622
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In: Journal of symbolic computation, 133 (2025), p. 102486
BibTex DOI: 10.1016/j.jsc.2025.102486
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Michael Joswig, Lars Kastner and Benjamin Lorenz

Confirmable workflows

In: The computer algebra system OSCAR : algorithms and examples / Wolfram Decker... (eds.)
Cham : Springer, 2025. - pp. 473-491
(Algorithms and computation in mathematics ; 32)
BibTex DOI: 10.1007/978-3-031-62127-7_19 ArXiv: 2404.06241
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Connection matrices in Macaulay2

BibTex ArXiv: 2504.01362 Code: mathrepo.mis.mpg.de
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Contrastive independent component analysis

In: Proceedings of the National Academy of Sciences of the United States of America, 122 (2025) 50, e2425119122
BibTex DOI: 10.1073/pnas.2425119122 ArXiv: 2407.02357
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In: Collectanea mathematica, 76 (2025) 3, pp. 545-574
BibTex DOI: 10.1007/s13348-024-00444-w ArXiv: 2209.01151
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Bernd Sturmfels and Máté Telek

Copositive geometry of Feynman integrals

In: Letters in mathematical physics, 115 (2025) 3, p. 74
BibTex DOI: 10.1007/s11005-025-01961-w ArXiv: 2504.01628 Code: mathrepo.mis.mpg.de
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In: Advances in applied mathematics, 162 (2025), p. 102777
BibTex DOI: 10.1016/j.aam.2024.102777 ArXiv: 2003.04840
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Viktoriia Borovik, Bernd Sturmfels and Svala Sverrisdóttir

Coupled cluster degree of the Grassmannian

In: Journal of symbolic computation, 128 (2025), p. 102396
BibTex DOI: 10.1016/j.jsc.2024.102396 ArXiv: 2310.15474 Code: mathrepo.mis.mpg.de
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Felix Lotter and Rosa Preiß

Cyclic polytopes through the lense of iterated integrals

In: Le Matematiche, 80 (2025) 1, pp. 365-385
BibTex ArXiv: 2412.11283 Link: lematematiche.dmi.unict.it
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Rida Ait El Manssour, Anna-Laura Sattelberger and Bertrand Teguia Tabuguia

D-algebraic functions

In: Journal of symbolic computation, 128 (2025), p. 102377
BibTex DOI: 10.1016/j.jsc.2024.102377 ArXiv: 2301.02512 Code: mathrepo.mis.mpg.de
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Anna-Laura Sattelberger and Bernd Sturmfels

D-modules and holonomic functions

In: Varieties, polyhedra, computation / Peter Bürgisser... (eds.)
Berlin : EMS Press, 2025. - pp. 251-294
(EMS series of congress reports ; 22)
BibTex DOI: 10.4171/ECR/22 ArXiv: 1910.01395
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In: Journal of pure and applied algebra, 229 (2025) 1, p. 107807
BibTex DOI: 10.1016/j.jpaa.2024.107807 ArXiv: 2308.11571 Code: mathrepo.mis.mpg.de
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İrem Portakal and Daniel Windisch

Dependency equilibria : boundary cases and their real algebraic geometry

In: Advances in applied mathematics, 168 (2025), p. 102890
BibTex DOI: 10.1016/j.aam.2025.102890 ArXiv: 2405.19054
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Developments in tropical convexity

In: Combinatorial, computational, and applied algebraic geometry : a tribute to Bernd Sturmfels / Serkan Hoşten... (eds.)
Providence, RI : American Mathematical Society, 2025.
(Proceedings of symposia in pure mathematics ; 111)
BibTex DOI: 10.1090/pspum/111/02036 ArXiv: 2405.17005
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Differential equations for moving hyperplane arrangements

In: Le Matematiche, 80 (2025) 1, pp. 409-429
BibTex ArXiv: 2412.09479 Link: lematematiche.dmi.unict.it
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Veronica Calvo Cortes and Hannah Tillmann-Morris

Dihedral sign patterns in \(\mathcal{M}_{0,n}\)

BibTex ArXiv: 2508.14714 Code: mathrepo.mis.mpg.de
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Discrete signature varieties

In: SIAM journal on applied algebra and geometry, 9 (2025) 3, pp. 640-665
BibTex DOI: 10.1137/23M1606629 ArXiv: 2303.13377 Code: mathrepo.mis.mpg.de
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In: Advances in geometry, 25 (2025) 4, pp. 429-437
BibTex DOI: 10.1515/advgeom-2025-0023 ArXiv: 2104.08920
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BibTex ArXiv: 2501.14612 Code: mathrepo.mis.mpg.de
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F-threshold of determinantal rings

In: Communications in algebra, 53 (2025) 6, pp. 2278-2291
BibTex DOI: 10.1080/00927872.2024.2434666 ArXiv: 2309.17376
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In: Annales de l'Institut Henri Poincaré / D, 12 (2025) 3, pp. 445-461
BibTex DOI: 10.4171/aihpd/192 ArXiv: 2209.08069
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In: ISSAC '25 : international symposium on symbolic and algebraic computation / Carlos D’Andrea... (eds.)
New York, NY : ACM, 2025. - pp. 197-205
BibTex DOI: 10.1145/3747199.3747562 ArXiv: 2501.17908
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From Feynman diagrams to the amplituhedron : a gentle review

In: Le Matematiche, 80 (2025) 1, pp. 233-254
BibTex ArXiv: 2410.11757 Link: lematematiche.dmi.unict.it Code: mathrepo.mis.mpg.de
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Game theory of undirected graphical models

In: Journal of algebra, 666 (2025), pp. 574-606
BibTex DOI: 10.1016/j.jalgebra.2024.12.004 ArXiv: 2402.13246
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Graphical scattering equations

BibTex ArXiv: 2511.07316
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Group-based phylogenetic models on 3-sunlet networks

In: Bulletin of mathematical biology, 87 (2025) 9, p. 132
BibTex DOI: 10.1007/s11538-025-01506-1 ArXiv: 2409.17894
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Hilbert functions of chopped ideals

In: Journal of algebra, 666 (2025), pp. 415-445
BibTex DOI: 10.1016/j.jalgebra.2024.11.017 ArXiv: 2307.02560 MiS Preprint Code: mathrepo.mis.mpg.de
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In: Le Matematiche, 80 (2025) 1, pp. 473-493
BibTex ArXiv: 2412.00551 Link: lematematiche.dmi.unict.it
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Elia Mazzucchelli, Dmitrii Pavlov and Kexin Wang

Hyperplane arrangements in the Grassmannian

In: Le Matematiche, 80 (2025) 1, pp. 387-408
BibTex ArXiv: 2409.04288 Link: lematematiche.dmi.unict.it Code: mathrepo.mis.mpg.de
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Identifiability of homoscedastic linear structural equation models using algebraic matroids

In: Advances in applied mathematics, 163 (2025) B, p. 102794
BibTex DOI: 10.1016/j.aam.2024.102794 ArXiv: 2308.01821 Code: mathrepo.mis.mpg.de
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Isogeny classes of cubic spaces

In: Selecta mathematica, 31 (2025) 4, p. 75
BibTex DOI: 10.1007/s00029-025-01056-3 ArXiv: 2207.13951
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Kinematic varieties for massless particles

In: Le Matematiche, 80 (2025) 1, pp. 453-471
BibTex DOI: 10.4418/2025.80.1.19 ArXiv: 2408.16711
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Latroids and code invariants

BibTex ArXiv: 2503.03010
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In: Algebraic statistics, 16 (2025) 2, pp. 217-242
BibTex DOI: 10.2140/astat.2025.16.217 ArXiv: 2310.13064
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Likelihood geometry of the squared Grassmannian

In: Proceedings of the American Mathematical Society, 153 (2025) 10, pp. 4463-4474
BibTex DOI: 10.1090/proc/17287 ArXiv: 2409.03730 Code: mathrepo.mis.mpg.de
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Leonie Kayser, Andreas Kretschmer and Simon Telen

Logarithmic discriminants of hyperplane arrangements

In: Le Matematiche, 80 (2025) 1, pp. 325-346
BibTex ArXiv: 2410.11675 Link: lematematiche.dmi.unict.it Code: mathrepo.mis.mpg.de
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Matching distance via the extended pareto grid

In: SIAM journal on applied algebra and geometry, 9 (2025) 3, pp. 554-576
BibTex DOI: 10.1137/24M1680398 ArXiv: 2312.04201
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Maximal Mumford curves from planar graphs

In: Pure and applied mathematics quarterly, 21 (2025) 4, pp. 1689-1719
BibTex DOI: 10.4310/PAMQ.250402030514 ArXiv: 2404.11838 Code: mathrepo.mis.mpg.de
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Mean value theorems for the S-arithmetic primitive Siegel transforms

In: Journal of modern dynamics, 21 (2025), pp. 645-692
BibTex DOI: 10.3934/jmd.2025015 ArXiv: 2310.03459
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Minimal kinematics on \(\mathcal{M}_{0,n}\)

In: Moduli, 2 (2025), e11
BibTex DOI: 10.1112/mod.2025.10003 ArXiv: 2402.03065
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Xue Liu, Mateusz Michałek and Julian Weigert

Mixed Eulerian numbers and beyond

BibTex ArXiv: 2502.04980
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Barbara Betti and Leonie Kayser

Mukai lifting of self-dual points in \(\mathbb{P}^6\)

In: Experimental mathematics, (2025)
BibTex DOI: 10.1080/10586458.2025.2513603 ArXiv: 2406.02734 Code: mathrepo.mis.mpg.de
Academic
2025 Repository Open Access
Maximilian Wiesmann

Nonlinear algebra in likelihood, neurocomputing and quantum physics

Dissertation, Universität Leipzig, 2025
BibTex Link: nbn-resolving.org
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Sebastian Falkensteiner, Dmitrii Pavlov and Rafael Sendra

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In: Systems and control letters, 198 (2025), p. 106059
BibTex DOI: 10.1016/j.sysconle.2025.106059 ArXiv: 2303.16799
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Khazhgali Kozhasov, Alan Muniz, Yang Qi and Luca Sodomaco

On the minimal algebraic complexity of the rank-one approximation problem for general inner products

In: Mathematics of computation, (2025)
BibTex DOI: 10.1090/mcom/4176 ArXiv: 2309.15105
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Claire Burrin, Samantha Fairchild and Jon Chaika

Pairs in discrete lattice orbits with applications to Veech surfaces

In: Journal of the European Mathematical Society, (2025)
BibTex DOI: 10.4171/JEMS/1563 ArXiv: 2211.14621 MiS Preprint
Preprint
2025 Repository Open Access
Benjamin Hollering and Dmitrii Pavlov

Parke-Taylor varieties

BibTex ArXiv: 2509.09323
Preprint
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Eric Pichon-Pharabod

Periods of fibre products of elliptic surfaces and the Gamma conjecture

BibTex ArXiv: 2505.07685
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Freddy Cachazo and Nick Early

Planar kinematics : cyclic fixed points, mirror superpotential, \(k\)-dimensional Catalan numbers, and root polytopes

In: Annales de l'Institut Henri Poincaré / D, 12 (2025) 2, pp. 207-264
BibTex DOI: 10.4171/AIHPD/185 ArXiv: 2010.09708
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Daniele Agostini, Lakshmi Ramesh and Dawei Shen

Points on rational normal curves and the ABCT variety

In: Le Matematiche, 80 (2025) 1, pp. 103-122
BibTex ArXiv: 2412.12514 Link: lematematiche.dmi.unict.it
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Taylor Brysiewicz and Michael Joswig

Polyhedral geometry

In: The computer algebra system OSCAR : algorithms and examples / Wolfram Decker... (eds.)
Cham : Springer, 2025. - pp. 139-164
(Algorithms and computation in mathematics ; 32)
BibTex DOI: 10.1007/978-3-031-62127-7_5 ArXiv: 2308.07459
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Nick Early, Alheydis Geiger, Marta Panizzut, Bernd Sturmfels and Claudia He Yun

Positive del Pezzo geometry

In: Annales de l'Institut Henri Poincaré / D, 12 (2025) 4, pp. 819-868
BibTex DOI: 10.4171/AIHPD/205 ArXiv: 2306.13604 Code: mathrepo.mis.mpg.de
Preprint
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Simon Telen

Positive geometry of polytopes and polypols

BibTex ArXiv: 2506.05510
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Barbara Betti, Viktoriia Borovik and Simon Telen

Proudfoot-Speyer degenerations of scattering equations

In: Le Matematiche, 80 (2025) 1, pp. 143-165
BibTex ArXiv: 2410.03614 Link: lematematiche.dmi.unict.it Code: mathrepo.mis.mpg.de
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Daniel Corey, Michael Joswig, Julien Schanz, Marcel Wack and Moritz Weber

Quantum automorphisms of matroids

In: Journal of algebra, 667 (2025), pp. 480-507
BibTex DOI: 10.1016/j.jalgebra.2024.11.036 ArXiv: 2312.13464
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Sebastian Falkensteiner and Rafael Sendra

Rational solutions of parametric first-order algebraic differential equations

In: Bulletin des sciences mathématiques, 205 (2025), p. 103694
BibTex DOI: 10.1016/j.bulsci.2025.103694 ArXiv: 2307.05102
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Alheydis Geiger

Real tropical quartics and their bitangents : counting with patchworking

BibTex ArXiv: 2503.22390
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Yassine El Maazouz and Enis Kaya

Sampling from \(p\)-adic manifolds

In: SIAM journal on applied algebra and geometry, 9 (2025) 2, pp. 343-373
BibTex DOI: 10.1137/24M163774X ArXiv: 2207.05911 Code: mathrepo.mis.mpg.de
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Dmitrii Pavlov and Simon Telen

Santaló geometry of convex polytopes

In: SIAM journal on applied algebra and geometry, 9 (2025) 1, pp. 58-82
BibTex DOI: 10.1137/24M1643566 ArXiv: 2402.18955 Code: mathrepo.mis.mpg.de
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Barbara Betti, Marta Panizzut and Simon Telen

Solving equations using Khovanskii bases

In: Journal of symbolic computation, 126 (2025), p. 102340
BibTex DOI: 10.1016/j.jsc.2024.102340 ArXiv: 2306.14871 Code: mathrepo.mis.mpg.de
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Spinor-helicity varieties

In: SIAM journal on applied algebra and geometry, 9 (2025) 4, pp. 848-876
BibTex DOI: 10.1137/24M1671840 ArXiv: 2406.17331 Code: mathrepo.mis.mpg.de
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Bruno Giménez Umbert and Bernd Sturmfels

Splitting CEGM amplitudes

In: Journal of high energy physics, 2025 (2025) 4, p. 76
BibTex DOI: 10.1007/JHEP04(2025)076 ArXiv: 2501.10805
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Subdivisions of hypersimplices : with a view toward finite metric spaces

In: Experimental mathematics, 34 (2025) 4, pp. 808-823
BibTex DOI: 10.1080/10586458.2024.2418831 ArXiv: 2402.17665
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Veronica Calvo Cortes, Yassine El Maazouz, Subramanya Hegde and Amit Suthar

Symplectic Grassmannian description of the Coulomb branch three and four point amplitudes

In: Journal of high energy physics, 2025 (2025) 1, p. 73
BibTex DOI: 10.1007/JHEP12(2025)073 ArXiv: 2505.03705
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Joris Koefler and Rainer Sinn

Taking the amplituhedron to the limit

BibTex ArXiv: 2501.08221
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Paul Breiding, Mateusz Michałek, Leonid Monin and Simon Telen

The algebraic degree of coupled oscillators

In: Advances in mathematics, 480 (2025) Part B, p. 110492
BibTex DOI: 10.1016/j.aim.2025.110492 ArXiv: 2208.08179
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Chiara Meroni, Bernhard Reinke and Kexin Wang

The algebraic degree of the Wasserstein distance

In: Acta Universitatis Sapientiae : mathematica, 17 (2025) 1, p. 5
BibTex DOI: 10.1007/s44426-025-00004-0 ArXiv: 2401.12735 Code: mathrepo.mis.mpg.de
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Marie-Charlotte Brandenburg, Jesús A. De Loera and Chiara Meroni

The best ways to slice a polytope

In: Mathematics of computation, 94 (2025), pp. 1003-1042
BibTex DOI: 10.1090/mcom/4006 ArXiv: 2304.14239 Code: mathrepo.mis.mpg.de
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Tom Baumbach, Ansgar Freyer, Julian Weigert and Martin Winter

The canonical form, scissors congruence and adjoint degrees of polytopes

BibTex ArXiv: 2508.04275
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Dario Antolini and Nick Early

The chirotropical Grassmannian

In: Le Matematiche, 80 (2025) 1, pp. 123-142
BibTex ArXiv: 2411.07293 Link: lematematiche.dmi.unict.it
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Elizabeth Pratt and Bernd Sturmfels

The Chow-Lam form

In: Journal of symbolic computation, 131 (2025), p. 102450
BibTex DOI: 10.1016/j.jsc.2025.102450 ArXiv: 2401.10795
Book
2025
Wolfram Decker, Christian Eder, Claus Fieker, Max Horn and Michael Joswig (Eds.)

The computer algebra system OSCAR : algorithms and examples

Cham : Springer, 2025.
(Algorithms and computation in mathematics ; 32)
ISBN: 978-3-031-62126-0, ISBN: 978-3-031-62129-1, ISBN: 978-3-031-62127-7, ISSN: 1431-1550
BibTex DOI: 10.1007/978-3-031-62127-7
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Frederik Garbe, Daniel Král', Alexandru Malekshahian and Raúl Penaguiao

The dimension of the feasible region of pattern densities

In: Mathematical proceedings of the Cambridge Philosophical Society, 178 (2025) 1, pp. 1-14
BibTex DOI: 10.1017/S0305004124000380 ArXiv: 2309.10203
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Erin Connelly, Vincenzo Galgano, Zhuang He, Giacomo Maletto, Elke Neuhaus, İrem Portakal, Hannah Tillmann-Morris and Chenyang Zhao

The GameTheory package for Macaulay2

BibTex ArXiv: 2507.16755
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Altan B. Kilic, Alberto Ravagnani and Flavio Salizzoni

The length of functional batch and PIR codes

BibTex ArXiv: 2508.02586
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Joseph Cummings, Elizabeth Gross, Benjamin Hollering, Samuel Martin and Ikenna Nometa

The Pfaffian structure of CFN phylogenetic networks

In: Journal of mathematical biology, 92 (2026) 1, p. 21
BibTex DOI: 10.1007/s00285-025-02330-w ArXiv: 2312.07450 Code: mathrepo.mis.mpg.de
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Michael Joswig, Max Klimm and Sylvain Spitz

The polyhedral geometry of truthful auctions

In: Mathematical programming, 210 (2025) 1/2, pp. 539-566
BibTex DOI: 10.1007/s10107-024-02168-y ArXiv: 2211.01907
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Barbara Betti and Viktoriia Borovik

The SagbiHomotopy.jl package for solving polynomial systems

BibTex ArXiv: 2506.06264 Code: mathrepo.mis.mpg.de
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Alheydis Geiger and Francesca Zaffalon

The self-projecting Grassmannian

BibTex ArXiv: 2511.21442
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Karel Devriendt, Hannah Friedman, Bernhard Reinke and Bernd Sturmfels

The two lives of the Grassmannian

In: Acta Universitatis Sapientiae : mathematica, 17 (2025) 1, p. 8
BibTex DOI: 10.1007/s44426-025-00007-x ArXiv: 2401.03684 Code: mathrepo.mis.mpg.de
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Gabriele Dian, Elia Mazzucchelli and Felix Tellander

The two-loop amplituhedron

In: Le Matematiche, 80 (2025) 1, pp. 255-277
BibTex DOI: 10.4418/2025.80.1.10
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Elke Neuhaus, İrem Portakal and Niharika Chakrabarty Paul

Torus actions on matrix Schubert and Kazhdan-Lusztig varieties, and their links to statistical models

BibTex ArXiv: 2510.00250
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Kemal Rose, Bernd Sturmfels and Simon Telen

Tropical implicitization revisited

In: The computer algebra system OSCAR : algorithms and examples / Wolfram Decker... (eds.)
Cham : Springer, 2025. - pp. 429-450
(Algorithms and computation in mathematics ; 32)
BibTex DOI: 10.1007/978-3-031-62127-7_17 ArXiv: 2306.13015 Code: mathrepo.mis.mpg.de
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Lara Bossinger, Sebastian Falkensteiner, Cristhian Garay-López and Marc Paul Noordman

Tropical initial degeneration for systems of algebraic differential equations

In: Boletin de la Sociedad Matemática Mexicana, 31 (2025) 1, p. 15
BibTex DOI: 10.1007/s40590-024-00693-6 ArXiv: 2309.10761
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Eric Boniface, Karel Devriendt and Serkan Hoşten

Tropical toric maximum likelihood estimation

In: SIAM journal on applied algebra and geometry, 9 (2025) 3, pp. 525-553
BibTex DOI: 10.1137/24M1656839 ArXiv: 2404.10567
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Shelby Cox and Igor Makhlin

Tropicalizing binary geometries

In: Le Matematiche, 80 (2025) 1, pp. 211-231
BibTex ArXiv: 2410.13652 Link: lematematiche.dmi.unict.it
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Saiei-Jaeyeong Matsubara-Heo and Simon Telen

Twisted cohomology and likelihood ideals

In: Advances in applied mathematics, 165 (2025), p. 102832
BibTex DOI: 10.1016/j.aam.2024.102832 ArXiv: 2301.13579 Code: mathrepo.mis.mpg.de
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Joris Koefler, Umut Oktem, Shruti Paranjape, Jaroslav Trnka and Bailee Zacovic

Uniqueness of MHV gravity amplitudes

In: Le Matematiche, 80 (2025) 1, pp. 347-364
BibTex ArXiv: 2412.08713 Link: lematematiche.dmi.unict.it
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Yassine El Maazouz, Marvin Anas Hahn, Alessandro Neri and Mima Stanojkovski

Valued rank-metric codes

In: Journal of algebra and its applications, 24 (2025) 4, p. 2550116
BibTex DOI: 10.1142/S0219498825501166 ArXiv: 2104.03216 MiS Preprint
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Benjamin Hollering, Elia Mazzucchelli, Matteo Parisi and Bernd Sturmfels

Varieties of lines in 3-space

BibTex ArXiv: 2511.21333
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Claus Fieker and Michael Joswig

What is OSCAR?

In: The computer algebra system OSCAR : algorithms and examples / Wolfram Decker... (eds.)
Cham : Springer, 2025. - pp. 3-17
(Algorithms and computation in mathematics ; 32)
BibTex DOI: 10.1007/978-3-031-62127-7_1
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Kristian Ranestad, Bernd Sturmfels and Simon Telen

What is positive geometry?

In: Le Matematiche, 80 (2025) 1, pp. 3-16
BibTex DOI: 10.4418/2025.80.1.1 ArXiv: 2502.12815
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Kangjin Han, Mateusz Michałek and Julian Weigert

White's conjecture for matroids and inner projections

BibTex ArXiv: 2501.17738
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Matías R. Bender and Simon Telen

Yet another eigenvalue algorithm for solving polynomial systems

In: Varieties, polyhedra, computation / Peter Bürgisser... (eds.)
Berlin : EMS Press, 2025. - pp. 355-394
(EMS series of congress reports ; 22)
BibTex DOI: 10.4171/ECR/22 ArXiv: 2105.08472
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Kenneth Blakey

Floer homotopy theory and degenerate Lagrangian intersections

BibTex ArXiv: 2410.11478
Academic
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Elima Shehu

Numerical algebraic vision

Dissertation, Universität Osnabrück, 2024
BibTex Link: osnadocs.ub.uni-osnabrueck.de
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Marie-Charlotte Brandenburg, Georg Loho, Guido Montúfar and Hanna Tseran

Separating points by pieceweise linear functions : the real tropical geometry of neural networks [In: Discrete geometry ; 21 January - 26 January 2024 ; report no. 3/2024]

In: Oberwolfach reports, 21 (2024) 1, pp. 145-146
BibTex DOI: 10.4171/OWR/2024/3 Link: publications.mfo.de
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Johannes Henn, Elizabeth Pratt, Anna-Laura Sattelberger and Simone Zoia

\(D\)-module techniques for solving differential equations in the context of Feynman integrals

In: Letters in mathematical physics, 114 (2024) 3, p. 87
BibTex DOI: 10.1007/s11005-024-01835-7 ArXiv: 2303.11105 Code: mathrepo.mis.mpg.de
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Antony Della Vecchia, Michael Joswig and Benjamin Lorenz

A FAIR file format for mathematical software

In: Mathematical Software ICMS 2024 : 8th international conference, Durham, UK, July 22-25, 2024, proceedings / Kevin Buzzard... (eds.)
Cham : Springer, 2024. - pp. 234-244
(Lecture notes in computer science ; 14749)
BibTex DOI: 10.1007/978-3-031-64529-7_25 ArXiv: 2309.00465
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Jeffrey Giansiracusa and Stefano Mereta

A general framework for tropical differential equations

In: Manuscripta mathematica, 173 (2024) 3/4, pp. 1273-1304
BibTex DOI: 10.1007/s00229-023-01492-5 ArXiv: 2111.03925
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Gentian Zavalani and Elima Shehu

A note on the rate of convergence of integration schemes for closed surfaces

In: Computational and applied mathematics, 43 (2024) 2, p. 92
BibTex DOI: 10.1007/s40314-024-02611-y ArXiv: 2301.02996
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Kristian Ranestad, Rainer Sinn and Simon Telen

Adjoints and canonical forms of tree amplituhedra

In: Mathematica Scandinavica, 130 (2024) 3, pp. 433-466
BibTex DOI: 10.7146/math.scand.a-149816 ArXiv: 2402.06527
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Mareike Dressler, Marina Garrote-López, Guido Montúfar, Kemal Rose and Johannes Müller

Algebraic optimization of sequential decision problems

In: Journal of symbolic computation, 121 (2024), p. 102241
BibTex DOI: 10.1016/j.jsc.2023.102241 ArXiv: 2211.09439
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Laura Casabella and Marco D'Anna

Almost symmetric good semigroups

In: Ricerche di matematica, 73 (2024) 5, pp. 2649-2663
BibTex DOI: 10.1007/s11587-023-00765-1 ArXiv: 2209.05411
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Bernhard Reinke

Amenability of bounded automata groups on infinite alphabets

In: The bulletin of the London Mathematical Society, 56 (2024) 7, pp. 2460-2471
BibTex DOI: 10.1112/blms.13065 ArXiv: 2004.05029
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Laura Casabella, Marco D'Anna and Pedro A. García-Sánchez

Apéry sets and the ideal class monoid of a numerical semigroup

In: Mediterranean journal of mathematics, 21 (2024) 1, p. 7
BibTex DOI: 10.1007/s00009-023-02550-8 ArXiv: 2302.09647
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Lukas Fesser, Sergio Serrano de Haro Iváñez, Karel Devriendt, Melanie Weber and Renaud Lambiotte

Augmentations of Forman's Ricci curvature and their applications in community detection

In: Journal of physics : complexity, 5 (2024) 3, p. 035010
BibTex DOI: 10.1088/2632-072X/ad64a3 ArXiv: 2306.06474
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Paul Breiding, Samantha Fairchild, Pierpaola Santarsiero and Elima Shehu

Average degree of the essential variety

In: La matematica, 3 (2024) 2, pp. 753-776
BibTex DOI: 10.1007/s44007-024-00106-0 ArXiv: 2212.01596 MiS Preprint Code: mathrepo.mis.mpg.de
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Freddy Cachazo, Nick Early and Yong Zhang

Color-dressed generalized biadjoint scalar amplitudes : local planarity

In: Symmetry, integrability and geometry : methods and applications (SIGMA), 20 (2024), p. 016
BibTex DOI: 10.3842/SIGMA.2024.016 ArXiv: 2212.11243 MiS Preprint
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Laurent Manivel, Leonid Monin, Mateusz Michałek, Tim Seynnaeve and Martin Vodička

Complete quadrics : Schubert calculus for Gaussian models and semidefinite programming

In: Journal of the European Mathematical Society, 26 (2024) 8, pp. 3091-3135
BibTex DOI: 10.4171/JEMS/1330 ArXiv: 2011.08791 MiS Preprint Code: mathrepo.mis.mpg.de
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Alheydis Geiger and Marta Panizzut

Computing tropical bitangents to smooth quartic curves in \(polymake\)

In: Journal of symbolic computation, 120 (2024), p. 102225
BibTex DOI: 10.1016/j.jsc.2023.102225 ArXiv: 2112.04447
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Delio Jaramillo-Velez and Lisa Seccia

Connected domination in graphs and v-numbers of binomial edge ideals

In: Collectanea mathematica, 75 (2024) 3, pp. 771-793
BibTex DOI: 10.1007/s13348-023-00412-w ArXiv: 2304.04898
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Türkü Özlüm Celik, Samantha Fairchild and Yelena Mandelshtam

Crossing the transcendental divide : from translation surfaces to algebraic curves

In: Experimental mathematics, 33 (2024) 4, pp. 569-587
BibTex DOI: 10.1080/10586458.2023.2203413 ArXiv: 2211.00304 MiS Preprint Code: mathrepo.mis.mpg.de
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Marina Garrote-López and Monroe Stephenson

Cumulant tensors in partitioned independent component analysis

BibTex ArXiv: 2402.10089 MiS Preprint
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Yulia Alexandr, Eliana Duarte and Julian Vill

Decomposable context-specific models

In: SIAM journal on applied algebra and geometry, 8 (2024) 2, pp. 363-393
BibTex DOI: 10.1137/23M1575111 ArXiv: 2210.11521
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Carlos Améndola, Lukas Gustafsson, Kathlén Kohn, Orlando Marigliano and Anna Seigal

Differential equations for Gaussian statistical models with rational maximum likelihood estimator

In: SIAM journal on applied algebra and geometry, 8 (2024) 3, pp. 465-492
BibTex DOI: 10.1137/23M1569228 ArXiv: 2304.12054 Code: mathrepo.mis.mpg.de
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Siddarth Kannan, Stefano Serpente and Claudia He Yun

Equivariant Hodge polynomials of heavy/light moduli spaces

In: Forum of mathematics / Sigma, 12 (2024), e34
BibTex DOI: 10.1017/fms.2024.20 ArXiv: 2207.02800
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Claudia Fevola and Saiei-Jaeyeong Matsubara-Heo

Euler discriminant of complements of hyperplanes

BibTex ArXiv: 2411.19696 Code: mathrepo.mis.mpg.de
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Simon Telen and Maximilian Wiesmann

Euler stratifications of hypersurface families

BibTex ArXiv: 2407.18176 Code: mathrepo.mis.mpg.de
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Daniele Bartoli, Giuseppe Marino, Alessandro Neri and Lara Vicino

Exceptional scattered sequences

In: Algebraic combinatorics, 7 (2024) 5, pp. 1405-1431
BibTex DOI: 10.5802/alco.377 ArXiv: 2211.11477
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Svala Sverrisdóttir and Fabian Faulstich

Exploring ground and excited states via single reference coupled-cluster theory and algebraic geometry

In: Journal of chemical theory and computation, 20 (2024) 19, pp. 8517-8528
BibTex DOI: 10.1021/acs.jctc.4c00644 ArXiv: 2405.12238
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Freddy Cachazo, Nick Early and Yong Zhang

Generalized color orderings : CEGM integrands and decoupling identities

In: Nuclear physics / B, 1004 (2024), p. 116552
BibTex DOI: 10.1016/j.nuclphysb.2024.116552 ArXiv: 2304.07351
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Nick Early

Generalized permutohedra in the kinematic space

In: Journal of high energy physics, 2024 (2024) 6, p. 72
BibTex DOI: 10.1007/JHEP06(2024)072 ArXiv: 1804.05460
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Kaie Kubjas, Jiayi Li and Maximilian Wiesmann

Geometry of polynomial neural networks

In: Algebraic statistics, 15 (2024) 2, pp. 295-328
BibTex DOI: 10.2140/astat.2024.15.295 ArXiv: 2402.00949 Code: mathrepo.mis.mpg.de
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Dmitrii Pavlov, Bernd Sturmfels and Simon Telen

Gibbs manifolds

In: Information geometry, 7 (2024) 2 supplement, pp. 691-717
BibTex DOI: 10.1007/s41884-023-00111-2 ArXiv: 2211.15490 Code: mathrepo.mis.mpg.de
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Karel Devriendt, Andrea Ottolini and Stefan Steinerberger

Graph curvature via resistance distance

In: Discrete applied mathematics, 348 (2024), pp. 68-78
BibTex DOI: 10.1016/j.dam.2024.01.012 ArXiv: 2302.06021
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Ángel David Ríos Ortiz

Higher Gaussian maps on K3 surfaces

In: International mathematics research notices, 2024 (2024) 10, pp. 8185-8212
BibTex DOI: 10.1093/imrn/rnad165 ArXiv: 2112.09101
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Arthur Bik and Alessandro Neri

Higher-degree symmetric rank-metric codes

In: SIAM journal on applied algebra and geometry, 8 (2024) 4, pp. 931-967
BibTex DOI: 10.1137/23M1564067 ArXiv: 2303.06745
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Claudia Fevola and Yelena Mandelshtam

Hirota varieties and rational nodal curves

In: Journal of symbolic computation, 120 (2024), p. 102239
BibTex DOI: 10.1016/j.jsc.2023.102239 ArXiv: 2203.00203 Code: mathrepo.mis.mpg.de
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Bernhard Reinke and Kexin Wang

Hypersurface arrangements with generic hypersurfaces added

BibTex ArXiv: 2412.20869
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2024
Marta Casanellas, Marina Garrote-López and Piotr Zwiernik

Identifiability in robust estimation of tree structured models

In: Bernoulli, 30 (2024) 1, pp. 1-21
BibTex DOI: 10.3150/22-BEJ1477
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Elizabeth S. Allman, Hector Baños, Marina Garrote-López and John A. Rhodes

Identifiability of level-1 species networks from gene tree quartets

In: Bulletin of mathematical biology, 86 (2024) 9, p. 110
BibTex DOI: 10.1007/s11538-024-01339-4 ArXiv: 2401.06290
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Kusun Lee, Julia Lindberg and Jose Israel Rodriguez

Implementing real polyhedral homotopy

In: Journal of software for algebra and geometry, 14 (2024) 1, pp. 59-71
BibTex DOI: 10.2140/jsag.2024.14.59 ArXiv: 2207.05323
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Marie-Charlotte Brandenburg and Chiara Meroni

Intersection bodies of polytopes : translations and convexity

In: Journal of algebraic combinatorics, 60 (2024) 1, pp. 127-143
BibTex DOI: 10.1007/s10801-024-01328-9 ArXiv: 2302.11764 Code: mathrepo.mis.mpg.de
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Robert Tichy and Daniel Windisch

Irreducibility properties of Carlitz' binomial coefficients for algebraic function fields

In: Finite fields and their applications, 96 (2024), p. 102413
BibTex DOI: 10.1016/j.ffa.2024.102413 ArXiv: 2310.02061
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Karel Devriendt

Kemeny's constant and the Lemoine point of a simplex

In: The electronic journal of linear algebra, 40 (2024), pp. 766-773
BibTex DOI: 10.13001/ela.2024.8681 ArXiv: 2405.20300
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Claudia Fevola, Sebastian Mizera and Simon Telen

Landau singularities revisited : computational algebraic geometry for Feynman integrals

In: Physical review letters, 132 (2024) 10, p. 101601
BibTex DOI: 10.1103/PhysRevLett.132.101601 ArXiv: 2311.14669 Code: mathrepo.mis.mpg.de
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Jose Bastidas, Sarah Brauner and Franco Saliola

Left regular bands of groups and the Mantaci-Reutenauer algebra

In: Journal of algebra, 655 (2024), pp. 29-94
BibTex DOI: 10.1016/j.jalgebra.2023.07.037 ArXiv: 2306.14985
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Victor Fadinger-Held and Daniel Windisch

Lengths of factorizations of integer-valued polynomials on Krull domains with prime elements

In: Archiv der Mathematik, 123 (2024) 2, pp. 123-135
BibTex DOI: 10.1007/s00013-024-02001-0 ArXiv: 2308.14535
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Hannah Friedman, Bernd Sturmfels and Maksym Zubkov

Likelihood geometry of determinantal point processes

In: Algebraic statistics, 15 (2024) 1, pp. 15-25
BibTex DOI: 10.2140/astat.2024.15.15 ArXiv: 2307.13486
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Carlos Améndola and Janike Oldekop

Likelihood geometry of reflexive polytopes

In: Algebraic statistics, 15 (2024) 1, pp. 113-143
BibTex DOI: 10.2140/astat.2024.15.113 ArXiv: 2311.13572 Code: mathrepo.mis.mpg.de
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Paul Breiding, Timothy Duff, Lukas Gustafsson, Felix Rydell and Elima Shehu

Line multiview ideals

In: Communications in algebra, 52 (2024) 10, pp. 4204-4225
BibTex DOI: 10.1080/00927872.2024.2343762 ArXiv: 2303.02066
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Yulia Alexandr

Logarithmic Voronoi polytopes for discrete linear models

In: Algebraic statistics, 15 (2024) 1, pp. 1-13
BibTex DOI: 10.2140/astat.2024.15.1 ArXiv: 2112.14384
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Dmitrii Pavlov

Logarithmically sparse symmetric matrices

In: Beiträge zur Algebra und Geometrie, 65 (2024) 4, pp. 907-922
BibTex DOI: 10.1007/s13366-024-00753-y ArXiv: 2301.10042
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Gianira Nicoletta Alfarano, Alessandro Neri and Ferdinando Zullo

Maximum flag-rank distance codes

In: Journal of combinatorial theory / A, 207 (2024), p. 105908
BibTex DOI: 10.1016/j.jcta.2024.105908 ArXiv: 2303.16653
Book
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Paul Breiding, Kathlén Kohn and Bernd Sturmfels

Metric algebraic geometry

Cham : Birkhäuser, 2024.
(Oberwolfach Seminars ; 53)
ISBN: 978-3-031-51461-6, ISBN: 978-3-031-51462-3
BibTex DOI: 10.1007/978-3-031-51462-3
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Rida Ait El Manssour and Gleb Pogudin

Multiplicity structure of the arc space of a fat point

In: Algebra and number theory, 18 (2024) 5, pp. 947-967
BibTex DOI: 10.2140/ant.2024.18.947 ArXiv: 2111.10446 Code: mathrepo.mis.mpg.de
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İrem Portakal and Javier Sendra-Arranz

Nash conditional independence curve

In: Journal of symbolic computation, 122 (2024), p. 102255
BibTex DOI: 10.1016/j.jsc.2023.102255 ArXiv: 2206.07000
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Tobias Boege

No eleventh conditional Ingleton inequality

In: Experimental mathematics, 33 (2024) 4, pp. 808-816
BibTex DOI: 10.1080/10586458.2023.2294827 ArXiv: 2204.03971 MiS Preprint Code: mathrepo.mis.mpg.de
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Lorenzo Baldi, Grigoriy Blekherman and Rainer Sinn

Nonnegative polynomials and moment problems on algebraic curves

BibTex ArXiv: 2407.06017
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Antonio Lerario, Chiara Meroni and Daniele Zuddas

On smooth functions with two critical values

In: Revista matematica complutense, 37 (2024) 3, pp. 907-920
BibTex DOI: 10.1007/s13163-023-00484-z ArXiv: 2206.06955
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Oihana Garaialde Ocaña and Mima Stanojkovski

Orbits classifying extensions of prime power order groups

In: International journal of group theory, 13 (2024) 1
BibTex DOI: 10.22108/ijgt.2022.125417.1651 ArXiv: 2007.00344 MiS Preprint
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Antony Della Vecchia, Michael Joswig and Fabian Lenzen

Partial algebraic shifting

BibTex ArXiv: 2410.24044
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Maximilian Wiesmann and Paul Larsen

Pathological regularization regimes in classification tasks

BibTex ArXiv: 2406.14731
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Daniele Agostini, Daniel Plaumann, Rainer Sinn and Jannik Lennart Wesner

Plane quartics and heptagons

BibTex ArXiv: 2408.15759
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Timothy Duff, Simon Telen, Elise Walker and Thomas Yahl

Polyhedral homotopies in Cox coordinates

In: Journal of algebra and its applications, 23 (2024) 4, p. 2450073
BibTex DOI: 10.1142/S0219498824500737 ArXiv: 2012.04255 Code: mathrepo.mis.mpg.de
inJournal
2024
Serkan Hoşten, Kaie Kubjas and Bernd Sturmfels

Preface : IMSI ''Apprenticeship Week'' projects

In: Algebraic statistics, 15 (2024) 2, pp. 165-165
BibTex DOI: 10.2140/astat.2024.15.165
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Claudia Fevola, Sebastian Mizera and Simon Telen

Principal Landau determinants

In: Computer physics communications, 303 (2024), p. 109278
BibTex DOI: 10.1016/j.cpc.2024.109278 ArXiv: 2311.16219 Code: mathrepo.mis.mpg.de
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Taylor Brysiewicz, Fulvio Gesmundo and Avi Steiner

Quatroids and rational plane cubics

In: Beiträge zur Algebra und Geometrie, 65 (2024) 4, pp. 923-972
BibTex DOI: 10.1007/s13366-024-00776-5 ArXiv: 2309.07357 Code: mathrepo.mis.mpg.de
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Sebastian Falkensteiner and Rafael Sendra

Rationality and parametrizations of algebraic curves under specializations

In: Journal of algebra, 659 (2024), pp. 698-744
BibTex DOI: 10.1016/j.jalgebra.2024.07.009 ArXiv: 2301.04933
Academic
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Dmitrii Pavlov

Real algebraic geometry for physics and optimization

Dissertation, Universität Leipzig, 2024
BibTex Link: nbn-resolving.org
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2024 Journal Open Access
Hana Melánová, Bernd Sturmfels and Rosa Winter

Recovery from power sums

In: Experimental mathematics, 33 (2024) 2, pp. 225-234
BibTex DOI: 10.1080/10586458.2022.2061650 ArXiv: 2106.13981
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2024 Journal Open Access
Daniele Agostini, Hannah Markwig, Clemens Nollau, Victoria Schleis, Javier Sendra-Arranz and Bernd Sturmfels

Recovery of plane curves from branch points

In: Discrete and computational geometry, 72 (2024) 2, pp. 451-475
BibTex DOI: 10.1007/s00454-023-00538-5 ArXiv: 2205.11287 Code: mathrepo.mis.mpg.de
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Felix Rydell, Angélica Torres and Viktor Larsson

Revisiting Sampson approximations for geometric estimation problems

In: 2024 IEEE/CVF Conference on computer vision and pattern recognition (CVPR 2024) : Seattle, Washington, USA ; 16-22 June 2024
Piscataway, NJ : IEEE, 2024. - pp. 4990-4998
BibTex DOI: 10.1109/CVPR52733.2024.00477 ArXiv: 2401.07114
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Alheydis Geiger, Sachi Hashimoto, Bernd Sturmfels and Raluca Vlad

Self-dual matroids from canonical curves

In: Experimental mathematics, 33 (2024) 4, pp. 701-722
BibTex DOI: 10.1080/10586458.2023.2239282 ArXiv: 2212.05910 Code: mathrepo.mis.mpg.de
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Jon Chaika and Samantha Fairchild

Shrinking rates of horizontal gaps for generic translation surfaces

In: Geometriae dedicata, 218 (2024) 6, p. 104
BibTex DOI: 10.1007/s10711-024-00953-9 ArXiv: 2207.03836 MiS Preprint
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Michael Joswig, Mario Kummer, Andreas Berthold Thom and Claudia He Yun

Some thoughts and experiments on Bergman's compact amalgamation problem

In: Beiträge zur Algebra und Geometrie, 65 (2024) 4, pp. 789-807
BibTex DOI: 10.1007/s13366-023-00709-8 ArXiv: 2304.08365 Code: mathrepo.mis.mpg.de
Academic
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Kemal Rose

Sparse polynomial system(s) in optimization

Dissertation, Universität Leipzig, 2024
BibTex Link: nbn-resolving.org
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Qiquan Wang, Inés García-Redondo, Pierre Faugère, Gregory Henselman-Petrusek and Anthea Monod

Stability for inference with persistent homology rank functions

In: Computer graphics forum, 43 (2024) 5, e15142
BibTex DOI: 10.1111/cgf.15142 ArXiv: 2307.02904
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Marvin Anas Hahn, Gabriele Nebe, Mima Stanojkovski and Bernd Sturmfels

Subspaces fixed by a nilpotent matrix

In: Orbita mathematicae, 1 (2024) 1, pp. 1-15
BibTex DOI: 10.2140/om.2024.1.1 ArXiv: 2207.00802
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Marc Härkönen, Lisa Nicklasson and Bogdan Raiţă

Syzygies, constant rank, and beyond

In: Journal of symbolic computation, 123 (2024), p. 102274
BibTex DOI: 10.1016/j.jsc.2023.102274 ArXiv: 2112.12663
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Aldo Conca, Simone Naldi, Giorgio Ottaviani and Bernd Sturmfels

Taylor polynomials of rational functions

In: Acta mathematica Vietnamica, 49 (2024) 1, pp. 19-37
BibTex DOI: 10.1007/s40306-023-00514-4 ArXiv: 2304.00712
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Max Pfeffer and Jose Alejandro Samper

The cone of \(5\times 5\) completely positive matrices

In: Discrete and computational geometry, 71 (2024) 2, pp. 442-466
BibTex DOI: 10.1007/s00454-023-00620-y ArXiv: 2108.11928
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Mara Belotti, Alessandro Danelon, Claudia Fevola and Andreas Kretschmer

The enumerative geometry of cubic hypersurfaces : point and line conditions

In: Collectanea mathematica, 75 (2024) 2, pp. 593-627
BibTex DOI: 10.1007/s13348-023-00401-z ArXiv: 2201.05424 Code: mathrepo.mis.mpg.de
Preprint
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Sebastian Falkensteiner and Stefano Mereta

The fundamental theorem of tropical differential algebra for formal Puiseux series

BibTex ArXiv: 2312.10036
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Daniele Agostini

The Martens-Mumford theorem and the Green-Lazarsfeld secant conjecture

In: Journal of algebraic geometry, 33 (2024), pp. 629-654
BibTex DOI: 10.1090/jag/819 ArXiv: 2110.03561
Preprint
2024 Repository Open Access
Kemal Rose

The polyhedral type of a polynomial map on the plane

BibTex ArXiv: 2402.08993 Code: mathrepo.mis.mpg.de
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2024 Journal Open Access
Wojciech Chachólski, René Corbet and Anna-Laura Sattelberger

The shift-dimension of multipersistence modules

In: Journal of applied and computational topology, 8 (2024) 3, pp. 643-667
BibTex DOI: 10.1007/s41468-024-00169-6 ArXiv: 2112.06509
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Federico Ardila-Mantilla, Christopher Eur and Raúl Penaguiao

The tropical critical points of an affine matroid

In: SIAM journal on discrete mathematics, 38 (2024) 2, pp. 1930-1942
BibTex DOI: 10.1137/23M1556174 ArXiv: 2212.08173
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Bernd Sturmfels, Simon Telen, François-Xavier Vialard and Max von Renesse

Toric geometry of entropic regularization

In: Journal of symbolic computation, 120 (2024), p. 102221
BibTex DOI: 10.1016/j.jsc.2023.102221 ArXiv: 2202.01571
Preprint
2024 Repository Open Access
Jonathan Boretsky, Veronica Calvo Cortes and Yassine El Maazouz

Totally positive skew-symmetric matrices

BibTex ArXiv: 2412.17233 Code: mathrepo.mis.mpg.de
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2024 Journal Open Access
Alessio Borzì

Tropical computations for toric intersection theory in Macaulay2

In: Journal of software for algebra and geometry, 14 (2024) 1, pp. 19-29
BibTex DOI: 10.2140/jsag.2024.14.19 ArXiv: 2209.13414
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Nick Early and Jian-Rong Li

Tropical geometry, quantum affine algebras, and scattering amplitudes

In: Journal of physics / A, 57 (2024) 49, p. 495201
BibTex DOI: 10.1088/1751-8121/ad909b ArXiv: 2303.05618
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Paul Alexander Helminck, Yassine El Maazouz and Enis Kaya

Tropical invariants for binary quintics and reduction types of Picard curves

In: Glasgow mathematical journal, 66 (2024) 1, pp. 65-87
BibTex DOI: 10.1017/S0017089523000344 ArXiv: 2206.00420 Code: mathrepo.mis.mpg.de
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Andrei Comăneci and Michael Joswig

Tropical medians by transportation

In: Mathematical programming, 205 (2024) 1/2, pp. 813-839
BibTex DOI: 10.1007/s10107-023-01996-8 ArXiv: 2205.00036
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Daniele Agostini, Claudia Fevola, Anna-Laura Sattelberger and Simon Telen

Vector spaces of generalized Euler integrals

In: Communications in number theory and physics, 18 (2024) 2, pp. 327-370
BibTex DOI: 10.4310/CNTP.2024.v18.n2.a2 ArXiv: 2208.08967 Code: mathrepo.mis.mpg.de
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Gianira Nicoletta Alfarano, Diego Napp, Alessandro Neri and Verónica Requena

Weighted Reed-Solomon convolutional codes

In: Linear and multilinear algebra, 72 (2024) 5, pp. 841-874
BibTex DOI: 10.1080/03081087.2023.2169232 ArXiv: 2012.11417
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Dmitrii Pavlov, Bernd Sturmfels and Simon Telen

Gibbs manifolds [In: New directions in real algebraic geometry ; 19 March - 24 March 2023 ; report no. 15/2023]

In: Oberwolfach reports, 20 (2023) 1, pp. 844-845
BibTex DOI: 10.4171/OWR/2023/15 Link: publications.mfo.de
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Noémie Combe

Semimartingales with values in a (pre-)Frobenius manifolds [In: Mini-workshop : Combinatorial and algebraic structures in rough analysis and related fields ; 26 November - 2 December 2023 ; report no. 54/2023]

In: Oberwolfach reports, 20 (2023) 4, pp. 3080-3083
BibTex DOI: 10.4171/OWR/2023/54 Link: publications.mfo.de
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Frederik Garbe, Daniel Král', Alexandru Malekshahian and Raúl Penaguiao

The dimension of the feasible region of pattern densities

In: Proceedings of the 12th European conference on combinatorics, graph theory and applications : EUROCOMB’23, Prague, August 28 - September 1, 2023 / Kráľ... (eds.)
Brno : Masaryk University, 2023. - pp. 471-477
BibTex DOI: 10.5817/CZ.MUNI.EUROCOMB23-065 ArXiv: 2309.10203
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Chiara Meroni, Fulvio Gesmundo, Bogdan Raiţă and Bernd Sturmfels

Two convex conjectures for different flavours [In: New directions in real algebraic geometry ; 19 March - 24 March 2023 ; report no. 15/2023]

In: Oberwolfach reports, 20 (2023) 1, pp. 829-832
BibTex DOI: 10.4171/OWR/2023/15 Link: publications.mfo.de
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2023 Journal Open Access
Yannik Mahlau, Leonie Kayser and Lukas Berg

[Re] On explainability of graph neural networks via subgraph explorations

In: ReScience C, 9 (2023) 2, p. 41
BibTex DOI: 10.5281/zenodo.8173753 Link: rescience.github.io Code: github.com
Preprint
2023 Repository Open Access
Noémie Combe

A journey in the world of geometry and algebra : lecture 1

BibTex Link: www.mis.mpg.de
Preprint
2023 Repository Open Access
Julia Lindberg, Leonid Monin and Kemal Rose

A polyhedral homotopy algorithm for computing critical points of polynomial programs

BibTex ArXiv: 2302.04117
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2023 Journal Open Access
Alheydis Geiger and Marta Panizzut

A tropical count of real bitangents to plane quartic curves

In: The electronic journal of combinatorics, 30 (2023) 2, P2.55
BibTex DOI: 10.37236/11099 ArXiv: 2112.04433
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2023 Repository Open Access
Leo Margolis, Taro Sakurai and Mima Stanojkovski

Abelian invariants and a reduction theorem for the modular isomorphism problem

In: Journal of algebra, 636 (2023), pp. 533-559
BibTex DOI: 10.1016/j.jalgebra.2023.08.035 ArXiv: 2110.10025 MiS Preprint
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2023 Journal Open Access
Mara Belotti, Michael Joswig, Chiara Meroni, Victoria Schleis and Johannes Schmitt

Algebraic and geometric computations in OSCAR

In: SIAM news, 56 (2023) 7, pp. 9-10
BibTex Link: sinews.siam.org
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2023 Repository Open Access
Paul Breiding, Fulvio Gesmundo, Mateusz Michałek and Nick Vannieuwenhoven

Algebraic compressed sensing

In: Applied and computational harmonic analysis, 65 (2023), pp. 374-406
BibTex DOI: 10.1016/j.acha.2023.03.006 ArXiv: 2108.13208
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Phokion G. Kolaitis, Andrei Romashchenko, Milan Studený, Dan Suciu and Tobias Boege

Algorithmic aspects of information theory : Dagstuhl Seminar 22301

In: Dagstuhl reports, 12 (2023) 7, pp. 180-204
BibTex DOI: 10.4230/DagRep.12.7.180
Preprint
2023 Repository Open Access
Rosa Preiß

An algebraic geometry of paths via the iterated-integrals signature

BibTex ArXiv: 2311.17886
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2023 Journal Open Access
Pierpaola Santarsiero

An algorithm for the non-identifiability of rank-3 tensors

In: Bollettino dell'Unione Matematica Italiana, 16 (2023) 3, pp. 595-624
BibTex DOI: 10.1007/s40574-023-00352-0 ArXiv: 2211.06384 Code: mathrepo.mis.mpg.de
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Federico Castillo, Jean-Philippe Labbé, Julia Liebert, Arnau Padrol, Eva Philippe and Christian Schilling

An effective solution to convex \(1\)-body \(N\)-representability

In: Annales Henri Poincaré, 24 (2023) 7, pp. 2241-2321
BibTex DOI: 10.1007/s00023-022-01264-z ArXiv: 2105.06459 MiS Preprint
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Alex Elzenaar, Gaven Martin and Jeroen Schillewaert

Approximations of the Riley slice

In: Expositiones mathematicae, 41 (2023) 1, pp. 20-54
BibTex DOI: 10.1016/j.exmath.2022.12.002 ArXiv: 2111.03230
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2023 Journal Open Access
Andrei Comăneci and Michael Joswig

Asymmetric tropical distances and power diagrams

In: Algebraic combinatorics, 6 (2023) 5, pp. 1211-1234
BibTex DOI: 10.5802/alco.306 ArXiv: 2206.09163
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2023 Repository Open Access
Michael Borinsky, Anna-Laura Sattelberger, Bernd Sturmfels and Simon Telen

Bayesian integrals on toric varieties

In: SIAM journal on applied algebra and geometry, 7 (2023) 1, pp. 77-103
BibTex DOI: 10.1137/22M1490569 ArXiv: 2204.06414 Code: mathrepo.mis.mpg.de
inBook
2023 Journal Open Access
Bernd Sturmfels

Beyond linear algebra

In: Proceedings of the international congress of mathematicians 2022 July 6-14 : Volume 4 / Dmitry Beliaev... (eds.)
Berlin : European Mathematical Society, 2023. - pp. 4820-4840
BibTex DOI: 10.4171/ICM2022/64 ArXiv: 2108.09494
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2023 Journal Open Access
Freddy Cachazo and Nick Early

Biadjoint scalars and associahedra from residues of generalized amplitudes

In: Journal of high energy physics, 2023 (2023), p. 15
BibTex DOI: 10.1007/JHEP10(2023)015 ArXiv: 2204.01743 MiS Preprint
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Noémie Combe, Yuri I. Manin and Matilde Marcolli

Birational maps and Nori motives

In: Essays in geometry : dedicated to Norbert A'Campo / Athanase Papadopoulos (ed.)
Berlin : EMS Press, 2023. - pp. 761-780
(IRMA lectures in mathematics and theoretical physics ; 34)
BibTex DOI: 10.4171/IRMA/34 ArXiv: 2012.13814
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Yassine El Maazouz, Gabriele Nebe and Mima Stanojkovski

Bolytrope orders

In: International journal of number theory, 19 (2023) 5, pp. 937-954
BibTex DOI: 10.1142/S1793042123500471 ArXiv: 2111.11244
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Paul Breiding, Kemal Rose and Sascha Timme

Certifying zeros of polynomial systems using interval arithmetic

In: ACM transactions on mathematical software, 49 (2023) 1, p. 11
BibTex DOI: 10.1145/3580277 ArXiv: 2011.05000
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2023 Repository Open Access
Rida Ait El Manssour and Anna-Laura Sattelberger

Combinatorial differential algebra of \(x^p\)

In: Journal of symbolic computation, 114 (2023), pp. 193-208
BibTex DOI: 10.1016/j.jsc.2022.04.010 ArXiv: 2102.03182
Academic
2023 Repository Open Access
Rida Ait El Manssour

Combinatorial methods in differential algebra

Dissertation, Universität Leipzig, 2023
BibTex Link: nbn-resolving.org
Preprint
2023 Repository Open Access
Yelena Mandelshtam, Dmitrii Pavlov and Elizabeth Pratt

Combinatorics of \(m=1\) Grasstopes

BibTex ArXiv: 2307.09603 Code: mathrepo.mis.mpg.de
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2023 Journal Open Access
Marie-Charlotte Brandenburg, Christian Haase and Ngoc Mai Tran

Competitive equilibrium always exists for combinatorial auctions with graphical pricing schemes

In: La matematica, 2 (2023) 1, pp. 1-30
BibTex DOI: 10.1007/s44007-022-00038-7 ArXiv: 2107.08813
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2023 Journal Open Access
Maria Donten-Bury, Laura Escobar and İrem Portakal

Complexity of the usual torus action on Kazhdan-Lusztig varieties

In: Algebraic combinatorics, 6 (2023) 3, pp. 835-861
BibTex DOI: 10.5802/alco.279 ArXiv: 2111.13540
Academic
2023 Repository Open Access
Claudia Fevola

Computation and physics in algebraic geometry

Dissertation, Universität Leipzig, 2023
BibTex Link: nbn-resolving.org
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2023 Repository Open Access
Luis David García Puente, Marina Garrote-López and Elima Shehu

Computing algebraic degrees of phylogenetic varieties

In: Algebraic statistics, 14 (2023) 2, pp. 215-231
BibTex DOI: 10.2140/astat.2023.14.215 ArXiv: 2210.02116
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2023 Journal Open Access
Taylor Brysiewicz, Holger Eble and Lukas Kühne

Computing characteristic polynomials of hyperplane arrangements with symmetries

In: Discrete and computational geometry, 70 (2023) 4, pp. 1356-1377
BibTex DOI: 10.1007/s00454-023-00557-2 ArXiv: 2105.14542 MiS Preprint Code: mathrepo.mis.mpg.de
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Mohamed Barakat and Lukas Kühne

Computing the nonfree locus of the moduli space of arrangements and Terao's freeness conjecture

In: Mathematics of computation, 92 (2023), pp. 1431-1452
BibTex DOI: 10.1090/mcom/3812 ArXiv: 2112.13065
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Rob Claes, Karl Meerbergen and Simon Telen

Contour integration for eigenvector nonlinearities

In: SIAM journal on matrix analysis and applications, 44 (2023) 4, pp. 1619-1644
BibTex DOI: 10.1137/22M1497985 ArXiv: 2205.12367
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2023 Journal Open Access
Michael Joswig and Ben Smith

Convergent Hahn series and tropical geometry of higher rank

In: The journal of the London Mathematical Society, 107 (2023) 4, pp. 1450-1481
BibTex DOI: 10.1112/jlms.12716 ArXiv: 1809.01457
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Carlos Améndola, Darrick Lee and Chiara Meroni

Convex hulls of curves : volumes and signatures

In: Geometric science of information : 6th international conference, GSI 2023, St. Malo, France, August 30 - September 1, 2023, proceedings, part I / Frank Nielsen... (eds.)
Cham : Springer, 2023. - pp. 455-464
(Lecture notes in computer science ; 14071)
BibTex DOI: 10.1007/978-3-031-38271-0_45 ArXiv: 2301.09405
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Jayadev S. Athreya, Samantha Fairchild and Howard Masur

Counting pairs of saddle connections

In: Advances in mathematics, 431 (2023), p. 109233
BibTex DOI: 10.1016/j.aim.2023.109233 ArXiv: 2201.08628 MiS Preprint
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Delaram Kahrobaei and Mima Stanojkovski

Cryptographic multilinear maps using pro-\(p\) groups

In: Advances in mathematics of communications, 17 (2023) 5, pp. 1101-1114
BibTex DOI: 10.3934/amc.2021041 ArXiv: 2102.04513
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2023 Journal Open Access
Marta Casanellas, Jesus Fernández-Sánchez, Marina Garrote-López and Marc Sabaté-Vidales

Designing weights for quartet-based methods when data is heterogeneous across lineages

In: Bulletin of mathematical biology, 85 (2023) 7, p. 68
BibTex DOI: 10.1007/s11538-023-01167-y ArXiv: 2202.13365
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Alessandra Bernardi, Claudia De Lazzari and Fulvio Gesmundo

Dimension of tensor network varieties

In: Communications in contemporary mathematics, 25 (2023) 10, p. 2250059
BibTex DOI: 10.1142/S0219199722500596 ArXiv: 2101.03148 MiS Preprint
Preprint
2023 Repository Open Access
Malavika Mukundan, Nikolai Prochorov and Bernhard Reinke

Dynamical approximations of postsingularly finite entire maps

BibTex ArXiv: 2305.17793
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2023 Repository Open Access
Giuseppe Marino, Alessandro Neri and Rocco Trombetti

Evasive subspaces, generalized rank weights and near MRD codes

In: Discrete mathematics, 346 (2023) 12, p. 113605
BibTex DOI: 10.1016/j.disc.2023.113605 ArXiv: 2204.11791
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2023 Journal Open Access
Alexandros Grosdos, Alexander Heaton, Kaie Kubjas, Olga Kuznetsova, Georgy Scholten and Miruna-Stefana Sorea

Exact solutions in log-concave maximum likelihood estimation

In: Advances in applied mathematics, 143 (2023), p. 102448
BibTex DOI: 10.1016/j.aam.2022.102448 ArXiv: 2003.04840
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2023 Journal Open Access
Isobel Davies, Eliana Duarte, İrem Portakal and Miruna-Stefana Sorea

Families of polytopes with rational linear precision in higher dimensions

In: Foundations of computational mathematics, 23 (2023), pp. 2151-2202
BibTex DOI: 10.1007/s10208-022-09583-7 ArXiv: 2109.08151
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2023 Journal Open Access
Léo Mathis and Chiara Meroni

Fiber convex bodies

In: Discrete and computational geometry, 70 (2023) 4, pp. 1451-1475
BibTex DOI: 10.1007/s00454-022-00451-3 ArXiv: 2105.12406 Code: mathrepo.mis.mpg.de
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2023 Journal Open Access
Saiei-Jaeyeong Matsubara-Heo, Sebastian Mizera and Simon Telen

Four lectures on Euler integrals

In: SciPost physics lecture notes, 2023 (2023), p. 75
BibTex DOI: 10.21468/SciPostPhysLectNotes.75 ArXiv: 2306.13578
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Laurent Manivel, Bernd Sturmfels and Svala Sverrisdóttir

Four-dimensional Lie algebras revisited

In: Journal of lie theory, 33 (2023) 3, pp. 703-712
BibTex ArXiv: 2208.14631 Link: www.heldermann.de Code: mathrepo.mis.mpg.de
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2023 Journal Open Access
Marc Härkönen, Markus Lange-Hegermann and Bogdan Raiţă

Gaussian process priors for systems of linear partial differential equations with constant coefficients

In: Proceedings of the 40th international conference on machine learning : , 23-29 July 2023, Honolulu, Hawaii, USA
[s. l.] : PMLR, 2023. - pp. 12587-12615
(Proceedings of machine learning research ; 202)
BibTex ArXiv: 2212.14319 Link: proceedings.mlr.press Code: mathrepo.mis.mpg.de
inBook
2023
Dominic Bunnett, Michael Joswig and Julian Pfeifle

Generalised cone complexes and tropical moduli in \(\texttt{polymake}\)

In: ISSAC '23 proceedings of the international symposium on symbolic and algebraic computation ; Tromso Norway ; July 24-27, 2023 / Alicia Dickenstein... (eds.)
New York : ACM, 2023. - pp. 100-106
BibTex DOI: 10.1145/3597066.3597093
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Vladimir Dotsenko, Sergey Shadrin and Pedro Tamaroff

Generalized cohomological field theories in the higher order formalism

In: Communications in mathematical physics, 399 (2023) 3, pp. 1439-1500
BibTex DOI: 10.1007/s00220-022-04577-6 ArXiv: 2112.06015
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Jane Ivy Coons, Joseph Cummings, Benjamin Hollering and Aida Maraj

Generalized cut polytopes for binary hierarchical models

In: Algebraic statistics, 14 (2023) 1, pp. 17-36
BibTex DOI: 10.2140/astat.2023.14.17 ArXiv: 2008.00043
inJournal
2023 Journal Open Access
Michael Joswig, Georg Loho, Dante Luber and Jorge Alberto Olarte

Generalized permutahedra and positive flag Dressians

In: International mathematics research notices, 2023 (2023) 19, pp. 16748-16777
BibTex DOI: 10.1093/imrn/rnac349 ArXiv: 2111.13676
inJournal
2023 Journal Open Access
Juanita Duque-Rosero, Sachi Hashimoto and Pim Spelier

Geometric quadratic Chabauty and \(p\)-adic heights

In: Expositiones mathematicae, 41 (2023) 3, pp. 631-674
BibTex DOI: 10.1016/j.exmath.2023.05.003 ArXiv: 2207.10389
Preprint
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Moritz Beyer, Stefano Mereta, Érika Roldán and Peter Voran

Higher-dimensional cubical sliding puzzles

BibTex ArXiv: 2307.14143
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Philipp Dettling, Roser Homs, Carlos Améndola, Mathias Drton and Niels Richard Hansen

Identifiability in continuous Lyapunov models

In: SIAM journal on matrix analysis and applications, 44 (2023) 4, pp. 1799-1821
BibTex DOI: 10.1137/22M1520311 ArXiv: 2209.03835 Code: mathrepo.mis.mpg.de
Preprint
2023 Repository Open Access
Jane Ivy Coons and Benjamin Hollering

Identifiability of the rooted tree parameter under the Cavender-Farris-Neyman model with a molecular clock

BibTex ArXiv: 2303.12058
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Alessio D'Alì and Lorenzo Venturello

Koszul Gorenstein algebras from Cohen-Macaulay simplicial complexes

In: International mathematics research notices, 2023 (2023) 6, pp. 4998-5045
BibTex DOI: 10.1093/imrn/rnac003 ArXiv: 2106.05051
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Daniele Agostini, Claudia Fevola, Yelena Mandelshtam and Bernd Sturmfels

KP solitons from tropical limits

In: Journal of symbolic computation, 114 (2023), pp. 282-301
BibTex DOI: 10.1016/j.jsc.2022.04.009 ArXiv: 2101.10392 Code: mathrepo.mis.mpg.de
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Mareike Dressler, André Uschmajew and Venkat Chandrasekaran

Kronecker product approximation of operators in spectral norm via alternating SDP

In: SIAM journal on matrix analysis and applications, 44 (2023) 4, pp. 1693-1708
BibTex DOI: 10.1137/22M1509953 ArXiv: 2207.03186 MiS Preprint
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Raúl Penaguiao

Lecture notes on algebraic methods in combinatorics

BibTex ArXiv: 2308.14137
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Daniele Agostini, Taylor Brysiewicz, Claudia Fevola, Lukas Kühne, Bernd Sturmfels and Simon Telen

Likelihood degenerations

In: Advances in mathematics, 414 (2023), p. 108863
BibTex DOI: 10.1016/j.aim.2023.108863 ArXiv: 2107.10518 Code: mathrepo.mis.mpg.de
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Paul Breiding, Felix Rydell, Elima Shehu and Angélica Torres

Line multiview varieties

In: SIAM journal on applied algebra and geometry, 7 (2023) 2, pp. 470-504
BibTex DOI: 10.1137/22M1482263 ArXiv: 2203.01694
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Alessio Borzì and Victoria Schleis

Linear degenerate tropical flag varieties

BibTex ArXiv: 2308.04193
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Rida Ait El Manssour, Marc Härkönen and Bernd Sturmfels

Linear PDE with constant coefficients

In: Glasgow mathematical journal, 65 (2023) S1, S2-S27
BibTex DOI: 10.1017/S0017089521000355 ArXiv: 2104.10146
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Rida Ait El Manssour, Yassine El Maazouz, Enis Kaya and Kemal Rose

Lines on \(p\)-adic and real cubic surfaces

In: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 93 (2023) 2, pp. 149-162
BibTex DOI: 10.1007/s12188-023-00269-7 ArXiv: 2202.03489 Code: mathrepo.mis.mpg.de
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András Christian Lőrincz and Jerzy Weyman

Local cohomology on a subexceptional series of representations

In: Annales de l'Institut Fourier, 73 (2023) 2, pp. 747-782
BibTex DOI: 10.5802/aif.3539 ArXiv: 1910.13820 MiS Preprint
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Ivan V. Oseledets, Maxim Rakhuba and André Uschmajew

Local convergence of alternating low-rank optimization methods with overrelaxation

In: Numerical linear algebra with applications, 30 (2023) 3, e2459
BibTex DOI: 10.1002/nla.2459 ArXiv: 2111.14758 MiS Preprint
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Marc Härkönen, Jonas Hirsch and Bernd Sturmfels

Making waves

In: La matematica, 2 (2023) 3, pp. 593-615
BibTex DOI: 10.1007/s44007-023-00056-z ArXiv: 2111.14045 Code: mathrepo.mis.mpg.de
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Holger Eble, Michael Joswig, Lisa Lamberti and William B. Ludington

Master regulators of biological systems in higher dimensions

In: Proceedings of the National Academy of Sciences of the United States of America, 120 (2023) 51, e2300634120
BibTex DOI: 10.1073/pnas.2300634120 ArXiv: 2009.12277
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Anna-Laura Sattelberger and Robin Van der Veer

Maximum likelihood estimation from a tropical and a Bernstein-Sato perspective

In: International mathematics research notices, 2023 (2023) 6, pp. 5263-5292
BibTex DOI: 10.1093/imrn/rnac016 ArXiv: 2101.03570
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Henrik Eisenmann and André Uschmajew

Maximum relative distance between real rank-two and rank-one tensors

In: Annali di matematica pura ed applicata, 202 (2023) 2, pp. 993-1009
BibTex DOI: 10.1007/s10231-022-01268-w ArXiv: 2111.12611 MiS Preprint
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Alexander Heaton, Khazhgali Kozhasov and Lorenzo Venturello

Minimality of tensors of fixed multilinear rank

In: Linear and multilinear algebra, 71 (2023) 8, pp. 1364-1377
BibTex DOI: 10.1080/03081087.2022.2062274 ArXiv: 2007.08909 Code: mathrepo.mis.mpg.de
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2023
Noémie Combe, Yuri I. Manin and Matilde Marcolli

Modular Nori motives

In: P-adic numbers, ultrametric analysis, and applications, 15 (2023) 3, pp. 187-194
BibTex DOI: 10.1134/S2070046623030020
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Nick Early

Moduli space tilings and Lie-theoretic color factors

BibTex ArXiv: 2310.12130 MiS Preprint
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Yulia Alexandr, Joe Kileel and Bernd Sturmfels

Moment varieties for mixtures of products

In: ISSAC '23 proceedings of the international symposium on symbolic and algebraic computation ; Tromso Norway ; July 24-27, 2023 / Alicia Dickenstein... (eds.)
New York : ACM, 2023. - pp. 53-60
BibTex DOI: 10.1145/3597066.3597084 ArXiv: 2301.09068 Code: mathrepo.mis.mpg.de
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Noémie Combe, Yuri I. Manin and Matilde Marcolli

Moufang patterns and geometry of information

In: Pure and applied mathematics quarterly, 19 (2023) 1, pp. 149-189
BibTex DOI: 10.4310/PAMQ.2023.v19.n1.a7 ArXiv: 2107.07486
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Marie-Charlotte Brandenburg, Sophia Elia and Leon Zhang

Multivariate volume, Ehrhart, and \(h*\)-polynomials of polytropes

In: Journal of symbolic computation, 114 (2023), pp. 209-230
BibTex DOI: 10.1016/j.jsc.2022.04.011 ArXiv: 2006.01920
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Daniele Bartoli, Giuseppe Marino and Alessandro Neri

New MRD codes from linear cutting blocking sets

In: Annali di matematica pura ed applicata, 202 (2023), pp. 115-142
BibTex DOI: 10.1007/s10231-022-01235-5
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Paul Breiding, Türkü Özlüm Celik, Timothy Duff, Alexander Heaton, Aida Maraj, Anna-Laura Sattelberger, Lorenzo Venturello and Oğuzhan Yürük

Nonlinear algebra and applications

In: Numerical algebra, control and optimization, 13 (2023) 1, pp. 81-116
BibTex DOI: 10.3934/naco.2021045 ArXiv: 2103.16300
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Noémie Combe

On Frobenius structures in symmetric cones

BibTex ArXiv: 2309.04334
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Diego García-Lucas, Ángel del Río and Mima Stanojkovski

On group invariants determined by modular group algebras : even versus odd characteristic

In: Algebras and representation theory, 26 (2023) 6, pp. 2683-2707
BibTex DOI: 10.1007/s10468-022-10182-x ArXiv: 2209.06143 MiS Preprint
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Lukas Kühne and Joshua Maglione

On the geometry of flag Hilbert-Poincaré series for matroids

In: Algebraic combinatorics, 6 (2023) 3, pp. 623-638
BibTex DOI: 10.5802/alco.276 ArXiv: 2111.05636
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Daniele Agostini, Ignacio Barros and Kuan-Wen Lai

On the irrationality of moduli spaces of K3 surfaces

In: Transactions of the American Mathematical Society, 376 (2023) 2, pp. 1407-1426
BibTex DOI: 10.1090/tran/8830 ArXiv: 2011.11025
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Bertrand Teguia Tabuguia

Operations for D-algebraic functions

In: ACM Communications in computer algebra, 57 (2023) 2, pp. 51-56
BibTex DOI: 10.1145/3614408.3614415 ArXiv: 2304.09675 Code: mathrepo.mis.mpg.de
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2023
Noémie Combe, Philippe Combe and Hanna Nencka

Poisson geometry of the statistical Frobenius manifold

In: Geometric science of information : 6th international conference, GSI 2023, St. Malo, France, August 30 - September 1, 2023, proceedings, part II / Frank Nielsen... (eds.)
Cham : Springer, 2023. - pp. 165-172
(Lecture notes in computer science ; 14072)
BibTex DOI: 10.1007/978-3-031-38299-4_18
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Yairon Cid-Ruiz and Bernd Sturmfels

Primary decomposition with differential operators

In: International mathematics research notices, 2023 (2023) 14, pp. 12119-12147
BibTex DOI: 10.1093/imrn/rnac178 ArXiv: 2101.03643 Code: mathrepo.mis.mpg.de
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Sachi Hashimoto

Quadratic Chabauty and \(p\)-adic Gross-Zagier

In: Transactions of the American Mathematical Society, 376 (2023) 5, pp. 3725-3760
BibTex DOI: 10.1090/tran/8862 ArXiv: 2206.08595
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Thinh P. Le, Chiara Meroni, Bernd Sturmfels, Reinhard F. Werner and Timo Ziegler

Quantum correlations in the minimal scenario

In: Quantum : the open journal for quantum science, 7 (2023), pp. 1-59
BibTex DOI: 10.22331/q-2023-03-16-947 ArXiv: 2111.06270
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Paul Breiding, Julia Lindberg, Gabriel Ong and Linus Sommer

Real circles tangent to 3 conics

In: Le Matematiche, 78 (2023) 1, pp. 149-175
BibTex ArXiv: 2211.06876 Link: lematematiche.dmi.unict.it Code: mathrepo.mis.mpg.de
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Alessio Borzì

Realizability of matroid quotients

BibTex ArXiv: 2403.03615
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Tobias Boege, René Fritze, Christiane Görgen, Jeroen Hanselman, Dorothea Iglezakis, Lars Kastner, Thomas Koprucki, Tabea Krause, Christoph Lehrenfeld, Silvia Polla, Marco Reidelbach, Christian Riedel, Jens Saak, Björn Schembera, Karsten Tabelow and Marcus Weber

Research-data management planning in the German mathematical community

In: EMS magazine, 130 (2023), pp. 40-47
BibTex DOI: 10.4171/MAG/152 ArXiv: 2211.12071
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Henrik Eisenmann, Felix Krahmer, Max Pfeffer and André Uschmajew

Riemannian thresholding methods for row-sparse and low-rank matrix recovery

In: Numerical algorithms, 93 (2023) 2, pp. 669-693
BibTex DOI: 10.1007/s11075-022-01433-5 ArXiv: 2103.02356 MiS Preprint
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Selvi Kara, İrem Portakal and Akiyoshi Tsuchiya

Rigid Gorenstein toric Fano varieties arising from directed graphs

In: Collectanea mathematica, 74 (2023) 2, pp. 333-351
BibTex DOI: 10.1007/s13348-022-00350-z ArXiv: 2103.06404
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Tobias Boege

Selfadhesivity in Gaussian conditional independence structures

In: International journal of approximate reasoning, 163 (2023), p. 109027
BibTex DOI: 10.1016/j.ijar.2023.109027 ArXiv: 2205.07667 MiS Preprint Code: mathrepo.mis.mpg.de
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Tabea Bacher, Christiane Görgen, Tabea Krause, Andreas Matt, Daniel Ramos and Bianca Violet

Spreading the love for mathematical research data

In: 1st Conference on research data infrastructure (CoRDI) : connecting communities ; 12 - 14 September 2023, Karlsruhe (Germany) / York Sure-Vetter... (eds.)
Hannover : TIB Open Publishing, 2023. - CoRDI2023-106
BibTex DOI: 10.52825/cordi.v1i.369
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Laura Casabella and Teresa Yu

Standard monomial theory modulo Frobenius in characteristic two

In: Journal of pure and applied algebra, 229 (2023) 9, p. 108051
BibTex DOI: 10.1016/j.jpaa.2025.108051 ArXiv: 2311.05530
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Edoardo Ballico, Arthur Bik, Alessandro Oneto and Emanuele Ventura

Strength and slice rank of forms are generically equal

In: Israel journal of mathematics, 254 (2023) 1, pp. 275-291
BibTex DOI: 10.1007/s11856-022-2397-0 ArXiv: 2102.11549
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Riley Murray, Helen Naumann and Thorsten Theobald

Sublinear circuits and the constrained signomial nonnegativity problem

In: Mathematical programming, 198 (2023) 1, pp. 471-505
BibTex DOI: 10.1007/s10107-022-01776-w ArXiv: 2006.06811 MiS Preprint
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Mima Stanojkovski

Submodule codes as spherical codes in buildings

In: Designs, codes and cryptography : an international journal, 91 (2023) 7, pp. 2449-2472
BibTex DOI: 10.1007/s10623-023-01207-7 ArXiv: 2202.13370 MiS Preprint
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Jane Ivy Coons, Aida Maraj, Pratik Misra and Miruna-Stefana Sorea

Symmetrically colored Gaussian graphical models with toric vanishing ideals

In: SIAM journal on applied algebra and geometry, 7 (2023) 1, pp. 133-158
BibTex DOI: 10.1137/21M1466943 ArXiv: 2111.14817
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Julia Lindberg, Leonid Monin and Kemal Rose

The algebraic degree of sparse polynomial optimization

BibTex ArXiv: 2308.07765
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Carlos Beltrán, Paul Breiding and Nick Vannieuwenhoven

The average condition number of most tensor rank decomposition problems is infinite

In: Foundations of computational mathematics, 23 (2023) 2, pp. 433-491
BibTex DOI: 10.1007/s10208-022-09551-1 ArXiv: 1903.05527 MiS Preprint
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Nick Dewaele, Paul Breiding and Nick Vannieuwenhoven

The condition number of many tensor decompositions is invariant under Tucker compression

In: Numerical algorithms, 94 (2023) 2, pp. 1003-1029
BibTex DOI: 10.1007/s11075-023-01526-9 ArXiv: 2106.13034
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Stefano Mereta

The Fundamental theorem of tropical differential algebra over nontrivially valued fields and the radius of convergence of nonarchimedean differential equations

BibTex ArXiv: 2303.12124
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Tobias Boege, Thomas Kahle, Andreas Kretschmer and Frank Röttger

The geometry of Gaussian double Markovian distributions

In: Scandinavian journal of statistics, 50 (2023) 2, pp. 665-696
BibTex DOI: 10.1111/sjos.12604 ArXiv: 2107.00134
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Alessandro Neri, Paolo Santonastao and Ferdinando Zullo

The geometry of one-weight codes in the sum-rank metric

In: Journal of combinatorial theory / A, 194 (2023) 1, p. 105703
BibTex DOI: 10.1016/j.jcta.2022.105703 ArXiv: 2112.04989 MiS Preprint
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Arthur Bik, Jan Draisma, Rob H. Eggermont and Andrew Snowden

The geometry of polynomial representations

In: International mathematics research notices, 2023 (2023) 16, pp. 14131-14195
BibTex DOI: 10.1093/imrn/rnac220 ArXiv: 2105.12621
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Javier Sendra-Arranz

The Hessian correspondence of hypersurfaces of degree 3 and 4

BibTex ArXiv: 2307.10415
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Alessio Borzì, Xiangying Chen, Harshit J. Motwani, Lorenzo Venturello and Martin Vodička

The leading coefficient of Lascoux polynomials

In: Discrete mathematics, 346 (2023) 2, p. 113217
BibTex DOI: 10.1016/j.disc.2022.113217 ArXiv: 2106.13104
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Julia Lindberg, Nathan Nicholson, Jose Israel Rodriguez and Zinan Wang

The maximum likelihood degree of sparse polynomial systems

In: SIAM journal on applied algebra and geometry, 7 (2023) 1, pp. 159-171
BibTex DOI: 10.1137/21M142255 ArXiv: 2105.07449
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Joscha Diehl, Rosa Preiß, Michael Ruddy and Nikolas Tapia

The moving-frame method for iterated-integrals signature : orthogonal invariants

In: Foundations of computational mathematics, 23 (2023) 4, pp. 1273-1333
BibTex DOI: 10.1007/s10208-022-09569-5 ArXiv: 2012.05880
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Michael Joswig, Max Klimm and Sylvain Spitz

The polyhedral geometry of truthful auctions

In: Integer programming and combinatorial optimization : 24th International Conference, IPCO 2023, Madison, WI, USA, June 21-23, 2023, proceedings / Alberto Del Pia... (eds.)
Cham : Springer, 2023. - pp. 231-245
(Lecture notes in computer science ; 13904)
BibTex DOI: 10.1007/978-3-031-32726-1_17 ArXiv: 2211.01907
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Federico Ardila-Mantilla, Christopher Eur and Raúl Penaguiao

The tropical critical points of an affine matroid

In: Séminaire lotharingien de combinatoire, 89B (2023), p. 28
BibTex ArXiv: 2212.08173 Link: www.emis.de
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Lukas Kühne

The universality of the resonance arrangement and its Betti numbers

In: Combinatorica, 43 (2023) 2, pp. 277-298
BibTex DOI: 10.1007/s00493-023-00006-x ArXiv: 2008.10553
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Felix Rydell, Elima Shehu and Angélica Torres

Theoretical and numerical analysis of 3D reconstruction using point and line incidences

In: 2023 IEEE/CVF international conference on computer vision (ICCV) ; 1-6- October 2023
Piscataway, NJ : IEEE, 2023. - pp. 3725-3734
BibTex DOI: 10.1109/ICCV51070.2023.00347 ArXiv: 2303.13593
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Carlos Améndola, Mathias Drton, Alexandros Grosdos, Roser Homs and Elina Robeva

Third-order moment varieties of linear non-Gaussian graphical models

In: Information and inference, 12 (2023) 3, pp. 1405-1436
BibTex DOI: 10.1093/imaiai/iaad007 ArXiv: 2112.10875 Code: mathrepo.mis.mpg.de
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Nick Dewaele, Paul Breiding and Nick Vannieuwenhoven

Three decompositions of symmetric tensors have similar condition numbers

In: Linear algebra and its applications, 664 (2023), pp. 253-263
BibTex DOI: 10.1016/j.laa.2023.01.020 ArXiv: 2110.04172
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Arthur Bik, Alessandro Danelon and Jan Draisma

Topological Noetherianity of polynomial functors II : base rings with Noetherian spectrum

In: Mathematische Annalen, 385 (2023) 3/4, pp. 1879-1921
BibTex DOI: 10.1007/s00208-022-02386-9 ArXiv: 2011.12739
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Eliana Duarte, Benjamin Hollering and Maximilian Wiesmann

Toric fiber products in geometric modeling

In: Geometric science of information : 6th international conference, GSI 2023, St. Malo, France, August 30 - September 1, 2023, proceedings, part I / Frank Nielsen... (eds.)
Cham : Springer, 2023. - pp. 494-503
(Lecture notes in computer science ; 14071)
BibTex DOI: 10.1007/978-3-031-38271-0_49 ArXiv: 2303.08754
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Benjamin Hollering, Joseph Johnson, İrem Portakal and Liam Solus

Toric ideals of characteristic imsets via quasi-independence gluing

In: Algebraic statistics, 14 (2023) 2, pp. 109-131
BibTex DOI: 10.2140/astat.2023.14.109 ArXiv: 2209.01834
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Marie-Charlotte Brandenburg, Georg Loho and Rainer Sinn

Tropical positivity and determinantal varieties

In: Algebraic combinatorics, 6 (2023) 4, pp. 999-1040
BibTex DOI: 10.5802/alco.286 ArXiv: 2205.14972
Academic
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Marie-Charlotte Brandenburg

Tropical positivity and semialgebraic sets from polytopes

Dissertation, Universität Leipzig, 2023
BibTex Link: nbn-resolving.org
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Adam Czapliński, Mateusz Michałek and Tim Seynnaeve

Uniform matrix product states from an algebraic geometer's point of view

In: Advances in applied mathematics, 142 (2023), p. 102417
BibTex DOI: 10.1016/j.aam.2022.102417 ArXiv: 1904.07563 MiS Preprint
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Lukas Kühne, Rudi Pendavingh and Geva Yashfe

Von Staudt constructions for skew-linear and multilinear matroids

In: Combinatorial theory, 3 (2023) 1, p. 16
BibTex DOI: 10.5070/C63160429 ArXiv: 2012.07361 MiS Preprint
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Marta Panizzut

Polynome, Polyeder und Algorithmen

In: Jahrbuch der Max-Planck-Gesellschaft : Forschungsbericht, 2022 (2022), p. 1
BibTex Link: mpg.de
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Leonid Monin, Johannes Hofscheier, Askol Khovanskii and Milena Wrobel

Toric bundles [In: Toric geometry ; 27 March - 2 April 2022 ; report no. 17/2022]

In: Oberwolfach reports, 19 (2022) 2, pp. 906-909
BibTex DOI: 10.4171/OWR/2022/17 Link: publications.mfo.de
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2022
Michael Joswig

'Mathematik ist modern, wenn sie mit der Zeit geht' : ein Interview mit Martin Grötschel

In: Mitteilungen der Deutschen Mathematiker-Vereinigung, 30 (2022) 1, pp. 38-42
BibTex DOI: 10.1515/dmvm-2022-0014
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Max Goering

A Harnack inequality for weak solutions of the Finsler \(\gamma\)-Laplacian

BibTex ArXiv: 2008.08028 MiS Preprint
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2022 Journal Open Access
Simon Telen and Nick Vannieuwenhoven

A normal form algorithm for tensor rank decomposition

In: ACM transactions on mathematical software, 48 (2022) 4, p. 38
BibTex DOI: 10.1145/3555369 ArXiv: 2103.07411
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2022 Journal Open Access
Tobias Lehmann, Max von Renesse, Alexander Sambale and André Uschmajew

A note on overrelaxation in the Sinkhorn algorithm

In: Optimization letters, 16 (2022) 8, pp. 2209-2220
BibTex DOI: 10.1007/s11590-021-01830-0 ArXiv: 2012.12562 MiS Preprint
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André Uschmajew and Bart Vandereycken

A note on the optimal convergence rate of descent methods with fixed step sizes for smooth strongly convex functions

In: Journal of optimization theory and applications, 194 (2022) 1, pp. 364-373
BibTex DOI: 10.1007/s10957-022-02032-z ArXiv: 2106.08020 MiS Preprint
Preprint
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Alexey Kalugin

A proof of T. Willwacher's conjecture

BibTex ArXiv: 2205.00854
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Laura Colmenarejo, Joscha Diehl and Miruna-Stefana Sorea

A quadratic identity in the shuffle algebra and an alternative proof for de Bruijn's formula

In: European journal of combinatorics, 99 (2022), p. 103406
BibTex DOI: 10.1016/j.ejc.2021.103406 ArXiv: 2003.01574
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Max Goering and Christian Weiß

A study in quantitative equidistribution on the unit square

In: Acta arithmetica, 205 (2022) 1, pp. 63-85
BibTex DOI: 10.4064/aa220224-25-7 ArXiv: 2201.00841 MiS Preprint
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Giuseppe Barbaro, Filippo Fagioli and Ángel David Ríos Ortiz

A survey on rational curves on complex surfaces

In: Rivista di matematica della Universita di Parma, 13 (2022) 2, pp. 505-534
BibTex ArXiv: 2209.04229 Link: www.rivmat.unipr.it
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2022 Journal Open Access
Mara Belotti, Michael Joswig and Marta Panizzut

Algebraic degrees of 3-dimensional polytopes

In: Vietnam journal of mathematics, 50 (2022) 3, pp. 581-597
BibTex DOI: 10.1007/s10013-022-00559-2 ArXiv: 2103.06835
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Noémie Combe, Philippe Combe and Hanna Nencka

Algebraic properties of the information geometry's fourth Frobenius manifold

In: Advances in information and communication : proceedings of the 2022 future of information and communication conference (FICC), volume 1 / Kohei Arai (ed.)
Cham : Springer, 2022. - pp. 356-370
(Lecture notes in networks and systems ; 438)
BibTex DOI: 10.1007/978-3-030-98012-2_27 ArXiv: 2109.13605
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2022 Journal Open Access
Tatiana Gateva-Ivanova

Algebras defined by Lyndon words and Artin-Schelter regularity

In: Transactions of the American Mathematical Society / B, 9 (2022), pp. 648-699
BibTex DOI: 10.1090/btran/89 ArXiv: 1905.11281
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Francesca Arici, Francesco D'Andrea, Piotr M. Hajac and Mariusz Tobolski

An equivariant pullback structure of trimmable graph C*-algebras

In: Journal of noncommutative geometry, 16 (2022) 3, pp. 761-785
BibTex DOI: 10.4171/JNCG/421 ArXiv: 1712.08010 MiS Preprint
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Lek-Heng Lim, Mateusz Michałek and Yang Qi

Best \(k\)-layer neural network approximations

In: Constructive approximation, 55 (2022) 1, pp. 583-604
BibTex DOI: 10.1007/s00365-021-09545-2 ArXiv: 1907.01507 MiS Preprint
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Alexander Heaton and Sascha Timme

Catastrophe in elastic tensegrity frameworks

In: Arnold mathematical journal, 8 (2022) 3/4, pp. 423-443
BibTex DOI: 10.1007/s40598-021-00193-9 ArXiv: 2009.13408
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2022 Journal Open Access
Muhammad Azeem Khadam and Martin Vodička

Cohen-Macaulay and Gorenstein tangential varieties of the Segre-Veronese varieties

In: The bulletin of the London Mathematical Society, 54 (2022) 5, pp. 1721-1740
BibTex DOI: 10.1112/blms.12652 ArXiv: 2012.14476
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Askol Khovanskii, Ivan Limonchenko and Leonid Monin

Cohomology rings of quasitoric bundles

In: Filomat, 36 (2022) 19, pp. 6513-6537
BibTex DOI: 10.2298/FIL2219513K ArXiv: 2112.14970
Academic
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Martin Vodička

Combinatorial methods in algebraic geometry

Dissertation, Universität Konstanz, 2022
BibTex Link: nbn-resolving.de
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André Guerra, Bogdan Raiţă and Matthew R. I. Schrecker

Compensated compactness : continuity in optimal weak topologies

In: Journal of functional analysis, 283 (2022) 7, p. 109596
BibTex DOI: 10.1016/j.jfa.2022.109596 ArXiv: 2007.00564
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Claus Fieker, Tommy Hofmann and Michael Joswig

Computing Galois groups of Ehrhart polynomials in OSCAR

In: Séminaire lotharingien de combinatoire, 86B (2022), p. 87
BibTex ArXiv: 2203.10287 Link: www.emis.de
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Carlos Améndola, Luis David García Puente, Roser Homs, Olga Kuznetsova and Harshit J. Motwani

Computing maximum likelihood estimates for Gaussian graphical models with Macaulay2

In: Journal of software for algebra and geometry, 12 (2022), pp. 1-10
BibTex DOI: 10.2140/jsag.2022.12.1 ArXiv: 2012.11572
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Paul Görlach, Yue Ren and Leon Zhang

Computing zero-dimensional tropical varieties via projections

In: Computational complexity, 31 (2022) 1, p. 5
BibTex DOI: 10.1007/s00037-022-00222-9 ArXiv: 1908.03486 MiS Preprint Code: mathrepo.mis.mpg.de
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Tobias Boege

Correction to: 'Gaussoids are two-antecedental approximations of Gaussian conditional independence structures' [In: Annals of mathematics and artificial intelligence, 90 (2022) 6, p. 645-673]

In: Annals of mathematics and artificial intelligence, 90 (2022) 6, pp. 675-676
BibTex DOI: 10.1007/s10472-022-09792-4 ArXiv: 2010.11914
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Katalin Berlow, Marie-Charlotte Brandenburg, Chiara Meroni and Isabelle Shankar

Correction to: 'Intersection bodies of polytopes' [63 (2022) 2, p. 419-439]

In: Beiträge zur Algebra und Geometrie, 63 (2022) 2, pp. 441-443
BibTex DOI: 10.1007/s13366-022-00638-y ArXiv: 2110.05996 Code: mathrepo.mis.mpg.de
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Kathryn Heal, Avinash Kulkarni and Emre Can Sertöz

Deep learning Gauss-Manin connections

In: Advances in applied Clifford algebras, 32 (2022) 2, p. 24
BibTex DOI: 10.1007/s00006-022-01207-1 ArXiv: 2007.13786
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Yairon Cid-Ruiz and Aron Simis

Degree of rational maps and specialization

In: International mathematics research notices, 2022 (2022) 6, pp. 4451-4502
BibTex DOI: 10.1093/imrn/rnaa183 ArXiv: 1901.06599 MiS Preprint
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Julie Desjardins and Rosa Winter

Density of rational points on a family of del Pezzo surfaces of degree one

In: Advances in mathematics, 405 (2022), p. 108489
BibTex DOI: 10.1016/j.aim.2022.108489 ArXiv: 2102.05563
Preprint
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Claudia He Yun

Discrete Morse theory for symmetric Delta-complexes

BibTex ArXiv: 2209.01070
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Laura Brustenga i Moncusí, Gheorghe Craciun and Miruna-Stefana Sorea

Disguised toric dynamical systems

In: Journal of pure and applied algebra, 226 (2022) 8, p. 107035
BibTex DOI: 10.1016/j.jpaa.2022.107035 ArXiv: 2006.01289
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Edoardo Di Napoli, Paolo Bientinesi, Jiajia Li and André Uschmajew

Editorial : High-performance tensor computations in scientific computing and data science

In: Frontiers in applied mathematics and statistics, 8 (2022), p. 1038885
BibTex DOI: 10.3389/fams.2022.1038885
Preprint
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Paul Breiding, Kristian Ranestad and Madeleine Weinstein

Enumerative geometry of curvature of algebraic hypersurfaces

BibTex ArXiv: 2206.09130
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Andrew Frohmader and Alexander Heaton

Epsilon local rigidity and numerical algebraic geometry

In: Journal of algebra and its applications, 21 (2022) 1, p. 2250009
BibTex DOI: 10.1142/S0219498822500098 ArXiv: 2002.06154 MiS Preprint
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Paul Breiding, Reuven Hodges, Christian Ikenmeyer and Mateusz Michałek

Equations for GL invariant families of polynomials

In: Vietnam journal of mathematics, 50 (2022) 2, pp. 545-556
BibTex DOI: 10.1007/s10013-022-00549-4 ArXiv: 2110.06608
Book
2022
Michael Joswig

Essentials of tropical combinatorics

Providence, R.I. : American Mathematical Society, 2022. - XX, 398
(Graduate studies in mathematics ; 219)
ISBN: 978-1-4704-6741-8, ISBN: 978-1-4704-6740-1, ISSN: 1065-7339
BibTex DOI: 10.1090/gsm/219
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Alessandro Neri, Paolo Santonastao and Ferdinando Zullo

Extending two families of maximum rank distance codes

In: Finite fields and their applications, 81 (2022), p. 102045
BibTex DOI: 10.1016/j.ffa.2022.102045 ArXiv: 2104.07602 MiS Preprint
Preprint
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Nick Early

Factorization for generalized biadjoint scalar amplitudes via matroid subdivisions

BibTex ArXiv: 2211.16623 MiS Preprint
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Amanda Cameron, Rodica Dinu, Mateusz Michałek and Tim Seynnaeve

Flag matroids : algebra and geometry

In: Interactions with lattice polytopes : Magdeburg, Germany, September 2017 / Alexander M. Kasprzyk... (eds.)
Cham : Springer, 2022. - pp. 73-114
(Springer proceedings in mathematics and statistics ; 386)
BibTex DOI: 10.1007/978-3-030-98327-7_4 ArXiv: 1811.00272 MiS Preprint
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Julia Liebert, Federico Castillo, Jean-Philippe Labbé and Christian Schilling

Foundation of one-particle reduced density matrix functional theory for excited states

In: Journal of chemical theory and computation, 18 (2022) 1, pp. 124-140
BibTex DOI: 10.1021/acs.jctc.1c00561 ArXiv: 2106.03918
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Bertrand Teguia Tabuguia and Wolfram Koepf

FPS in action : an easy way to find explicit formulas for interlaced hypergeometric sequences

In: ACM Communications in computer algebra, 56 (2022) 2, pp. 46-50
BibTex DOI: 10.1145/3572867.3572873 ArXiv: 2207.01031
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Michael Joswig, Davide Lofano, Frank H. Lutz and Mimi Tsuruga

Frontiers of sphere recognition in practice

In: Journal of applied and computational topology, 6 (2022) 4, pp. 503-527
BibTex DOI: 10.1007/s41468-022-00092-8 ArXiv: 1405.3848
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Tobias Boege

Gaussoids are two-antecedental approximations of Gaussian conditional independence structures

In: Annals of mathematics and artificial intelligence, 90 (2022) 6, pp. 645-673
BibTex DOI: 10.1007/s10472-021-09780-0 ArXiv: 2010.11914
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Michael Joswig, Max Klimm and Sylvain Spitz

Generalized permutahedra and optimal auctions

In: SIAM journal on applied algebra and geometry, 6 (2022) 4, pp. 711-739
BibTex DOI: 10.1137/21M1441286 ArXiv: 2108.00979
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Michael Joswig, Georg Loho, Dante Luber and Jorge Alberto Olarte

Generalized permutahedra and positive flag Dressians

In: Discrete mathematics days 2022 / Luis Felipe Tabera (ed.)
Santander, Spain : Editorial Universidad de Cantabria, 2022. - pp. 163-168
BibTex ArXiv: 2111.13676 Link: dmd2022.unican.es
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Ivan Limonchenko, Leonid Monin and Askol Khovanskii

Generalized virtual polytopes and quasitoric manifolds

In: Trudy Matematiceskogo Instituta Imeni V. A. Steklova, 318 (2022), pp. 139-165
BibTex DOI: 10.4213/tm4272 ArXiv: 2204.00114
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Ivan Limonchenko, Leonid Monin and Askol Khovanskii

Generalized virtual polytopes and quasitoric manifolds [Translation from Tr. Mat. Inst. Steklova 318, 139-165 (2022)]

In: Proceedings of the Steklov Institute of Mathematics, 318 (2022) 1, pp. 126-149
BibTex DOI: 10.1134/S0081543822040095 ArXiv: 2204.00114
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Marc Chardin, Yairon Cid-Ruiz and Aron Simis

Generic freeness of local cohomology and graded specialization

In: Transactions of the American Mathematical Society, 375 (2022), pp. 87-109
BibTex DOI: 10.1090/tran/8316 ArXiv: 2002.12053 MiS Preprint
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Noémie Combe and Yuri I. Manin

Genus zero modular operad and absolute Galois group

In: North-Western European journal of mathematics, 8 (2022), pp. 25-60
BibTex ArXiv: 1907.10313 Link: math.univ-lille1.fr
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İrem Portakal and Bernd Sturmfels

Geometry of dependency equilibria

In: Rendiconti dell'Istituto di Matematica dell'Universita di Trieste, 54 (2022), p. 5
BibTex DOI: 10.13137/2464-8728/33881 ArXiv: 2201.05506
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Noémie Combe, Yuri I. Manin and Matilde Marcolli

Geometry of information : classical and quantum aspects

In: Theoretical computer science, 908 (2022), pp. 2-27
BibTex DOI: 10.1016/j.tcs.2021.10.020 ArXiv: 2107.08006
Preprint
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Bertrand Teguia Tabuguia

Guessing with quadratic differential equations

BibTex ArXiv: 2207.01037
Preprint
2022 Repository Open Access
Noémie Combe and Alexey Kalugin

Hidden symmetries of the Grothendieck-Teichmüller group

BibTex ArXiv: 2209.00966
inJournal
2022 Journal Open Access
Marvin Anas Hahn and Shiyue Li

Intersecting \(\psi\)-classes on tropical Hassett spaces

In: Combinatorial theory, 2 (2022) 3, p. 9
BibTex DOI: 10.5070/C62359165 ArXiv: 2108.00875
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2022 Journal Open Access
Katalin Berlow, Marie-Charlotte Brandenburg, Chiara Meroni and Isabelle Shankar

Intersection bodies of polytopes

In: Beiträge zur Algebra und Geometrie, 63 (2022) 2, pp. 419-439
BibTex DOI: 10.1007/s13366-022-00621-7 ArXiv: 2110.05996 Code: mathrepo.mis.mpg.de
Preprint
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Simon Telen

Introduction to toric geometry

BibTex ArXiv: 2203.01690 Code: mathrepo.mis.mpg.de
inJournal
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Sebastian Mizera and Simon Telen

Landau discriminants

In: Journal of high energy physics, 2022 (2022) 8, p. 200
BibTex DOI: 10.1007/JHEP08(2022)200 ArXiv: 2109.08036 Code: mathrepo.mis.mpg.de
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Gianira Nicoletta Alfarano, Martino Borello, Alessandro Neri and Alberto Ravagnani

Linear cutting blocking sets and minimal codes in the rank metric

In: Journal of combinatorial theory / A, 192 (2022), p. 105658
BibTex DOI: 10.1016/j.jcta.2022.105658 ArXiv: 2106.12465 MiS Preprint
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Takuro Abe and Lukas Kühne

Locally heavy hyperplanes in multiarrangements

In: Journal of pure and applied algebra, 226 (2022) 1, p. 106791
BibTex DOI: 10.1016/j.jpaa.2021.106791 ArXiv: 1906.02188
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Nina Otter

Magnitude meets persistence : homology theories for filtered simplicial sets

In: Homology, homotopy and applications, 24 (2022) 2, pp. 365-387
BibTex DOI: 10.4310/HHA.2022.v24.n2.a19 ArXiv: 1807.01540
Preprint
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Noémie Combe

Manin conjecture for statistical pre-Frobenius manifolds, hypercube relations and motivic Galois group in coding

BibTex ArXiv: 2212.09138
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2022 Journal Open Access
Alessio D'Alì, Emanuele Delucchi and Mateusz Michałek

Many faces of symmetric edge polytopes

In: The electronic journal of combinatorics, 29 (2022) 3, P3.24
BibTex DOI: 10.37236/10387 ArXiv: 1910.05193
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Tobias Boege, Sonja Petrović and Bernd Sturmfels

Marginal independence models

In: ISSAC '22 proceedings of the international symposium on symbolic and algebraic computation ; Villeneuve-d'Ascq, France ; July 4 - 7, 2022
New York : ACM, 2022. - pp. 263-271
BibTex DOI: 10.1145/3476446.3536193 ArXiv: 2112.10287 Code: mathrepo.mis.mpg.de
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Miruna-Stefana Sorea

Measuring the local non-convexity of real algebraic curves

In: Journal of symbolic computation, 109 (2022), pp. 482-509
BibTex DOI: 10.1016/j.jsc.2020.07.017 ArXiv: 1907.08585 MiS Preprint
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Jessica Bariffi, Sam Mattheus, Alessandro Neri and Joachim Rosenthal

Moderate-density parity-check codes from projective bundles

In: Designs, codes and cryptography : an international journal, 90 (2022) 12, pp. 2943-2966
BibTex DOI: 10.1007/s10623-022-01054-y ArXiv: 2103.09722
Preprint
2022 Repository Open Access
Kemal Rose

Multi-degrees in polynomial optimization

BibTex ArXiv: 2209.10670
Academic
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Henrik Eisenmann

Multilinear optimization in low-rank models

Dissertation, Universität Leipzig, 2022
BibTex Link: nbn-resolving.org
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Leonie Selk, Charles Tillier and Orlando Marigliano

Multivariate boundary regression models

In: Scandinavian journal of statistics, 49 (2022) 1, pp. 400-426
BibTex DOI: 10.1111/sjos.12519 ArXiv: 2004.09881
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Daniele Agostini, Türkü Özlüm Celik and Demir Eken

Numerical reconstruction of curves from their Jacobians

In: Arithmetic, geometry, cryptography, and coding theory 2021 : 18th international conference ; May 31-June 4, 2021 Centre International de Rencontres Mathématiques, Marseille, France / Samuele Anni... (eds.)
Providence, R.I. : American Mathematical Society, 2022. - pp. 1-12
(Contemporary mathematics ; 779)
BibTex DOI: 10.1090/conm/779 ArXiv: 2103.03138
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Leo Margolis and Mima Stanojkovski

On the modular isomorphism problem for groups of class 3 and obelisks

In: Journal of group theory, 25 (2022) 1, pp. 163-206
BibTex DOI: 10.1515/jgth-2020-0174 ArXiv: 2009.13970 MiS Preprint
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Yassine El Maazouz, Marvin Anas Hahn, Gabriele Nebe, Mima Stanojkovski and Bernd Sturmfels

Orders and polytropes : matrix algebras from valuations

In: Beiträge zur Algebra und Geometrie, 63 (2022) 3, pp. 515-531
BibTex DOI: 10.1007/s13366-021-00600-4 ArXiv: 2107.00503 Code: mathrepo.mis.mpg.de
Preprint
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Andrei Comăneci and Michael Joswig

Parametric Fermat-Weber and tropical supertrees

BibTex ArXiv: 2211.06328
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Michael Joswig and Benjamin Schröter

Parametric shortest-path algorithms via tropical geometry

In: Mathematics of operations research, 47 (2022) 3, pp. 1707-2545
BibTex DOI: 10.1287/moor.2021.1199 ArXiv: 1904.01082
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Miruna-Stefana Sorea

Permutations encoding the local shape of level curves of real polynomials via generic projections

In: Annales de l'Institut Fourier, 72 (2022) 4, pp. 1661-1703
BibTex DOI: 10.5802/aif.3479 ArXiv: 1910.12790 MiS Preprint
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Khazhgali Kozhasov, Mateusz Michałek and Bernd Sturmfels

Positivity certificates via integral representations

In: Facets of algebraic geometry : a collection in honor of William Fulton's 80th birthday ; Volume 2 / Paolo Aluffi... (eds.)
Cambridge : Cambridge University Press, 2022. - pp. 84-114
BibTex DOI: 10.1017/9781108877855.004 ArXiv: 1908.04191 MiS Preprint
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Rida Ait El Manssour and Antonio Lerario

Probabilistic enumerative geometry over \(p\)-adic numbers : linear spaces on complete intersections

In: Annales Henri Lebesgue, 5 (2022), pp. 1329-1360
BibTex DOI: 10.5802/ahl.153 ArXiv: 2011.07558
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Lisa Nicklasson

Products of polymatroids with the strong exchange property

In: Journal of pure and applied algebra, 226 (2022) 6, p. 106967
BibTex DOI: 10.1016/j.jpaa.2021.106967 ArXiv: 2101.03081
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Elina Robeva, Bernd Sturmfels and Caroline Uhler

Publisher correction: 'Geometry of log-concave density estimation' [In: Discrete and computational geometry, 61 (2019) 1, p. 136-160]

In: Discrete and computational geometry, 68 (2022) 2, pp. 645-645
BibTex DOI: 10.1007/s00454-022-00434-4 ArXiv: 1704.01910
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Paul Breiding, Hanieh Keneshlou and Antonio Lerario

Quantitative singularity theory for random polynomials

In: International mathematics research notices, 2022 (2022) 8, pp. 5685-5719
BibTex DOI: 10.1093/imrn/rnaa274 ArXiv: 1909.11052
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Noémie Combe, Yuri I. Manin and Matilde Marcolli

Quantum operads

In: Dialogues between physics and mathematics : C. N. Yang at 100 / Mo-Lin Ge... (eds.)
Cham : Springer, 2022. - pp. 113-145
BibTex DOI: 10.1007/978-3-031-17523-7_5 ArXiv: 2112.15237
Preprint
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Noémie Combe, Yuri I. Manin and Matilde Marcolli

Quantum SUSY operads

BibTex ArXiv: 2208.11629
inJournal
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Austin Conner, Fulvio Gesmundo, Joseph M. Landsberg and Emanuele Ventura

Rank and border rank of Kronecker powers of tensors and Strassen's laser method

In: Computational complexity, 31 (2022) 1, p. 1
BibTex DOI: 10.1007/s00037-021-00217-y ArXiv: 1909.04785
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Lukas Kühne and Geva Yashfe

Representability of matroids by \(c\)-arrangements is undecidable

In: Israel journal of mathematics, 252 (2022), pp. 95-147
BibTex DOI: 10.1007/s11856-022-2345-z ArXiv: 1912.06123
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Pedro Tamaroff

Resolutions of operads via Koszul (bi)algebras

In: Journal of homotopy and related structures, 17 (2022) 2, pp. 175-200
BibTex DOI: 10.1007/s40062-022-00302-1
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Francesco Galuppi and Alessandro Oneto

Secant non-defectivity via collisions of fat points

In: Advances in mathematics, 409 (2022) B, p. 108657
BibTex DOI: 10.1016/j.aim.2022.108657 ArXiv: 2104.02522
Academic
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Chiara Meroni

Semialgebraic convex bodies

Dissertation, Universität Leipzig, 2022
BibTex Link: nbn-resolving.org
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Paul Breiding and Nick Vannieuwenhoven

Sensitivity of low-rank matrix recovery

In: Numerische Mathematik, 152 (2022) 4, pp. 725-759
BibTex DOI: 10.1007/s00211-022-01327-7 ArXiv: 2103.00531
inJournal
2022 Journal Open Access
Avinash Kulkarni

Solving p-adic polynomial systems via iterative eigenvector algorithms

In: Linear and multilinear algebra, 70 (2022) 4, pp. 650-671
BibTex DOI: 10.1080/03081087.2020.1743633 ArXiv: 1907.03740 MiS Preprint
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Christiane Görgen, Aida Maraj and Lisa Nicklasson

Staged tree models with toric structure

In: Journal of symbolic computation, 113 (2022), pp. 242-268
BibTex DOI: 10.1016/j.jsc.2022.04.006 ArXiv: 2107.04516 Code: mathrepo.mis.mpg.de
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2022 Journal Open Access
Michael Joswig, Georg Loho, Dante Luber and Jorge Alberto Olarte

Subdivisions of generalized permutahedra

In: Séminaire lotharingien de combinatoire, 86B (2022), p. 53
BibTex ArXiv: 2111.13676 Link: www.emis.de
inJournal
2022 Journal Open Access
Gianira Nicoletta Alfarano, F. Javier Lobillo, Alessandro Neri and Antonia Wachter-Zeh

Sum-rank product codes and bounds on the minimum distance

In: Finite fields and their applications, 80 (2022), p. 102013
BibTex DOI: 10.1016/j.ffa.2022.102013 ArXiv: 2105.15086 MiS Preprint
Preprint
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Sameera Vemulapalli

Sumsets of sequences in abelian groups and flags in field extensions

BibTex ArXiv: 2207.10507
Preprint
2022 Repository Open Access
Noémie Combe, Philippe Combe and Hanna Nencka

Symplectic and Poisson geometry of the information geometry's Frobenius manifold

BibTex ArXiv: 2201.07517
inJournal
2022 Journal Open Access
Pedro Tamaroff

The cohomology of coalgebras in species

In: Communications in algebra, 50 (2022) 7, pp. 2811-2830
BibTex DOI: 10.1080/00927872.2021.2021219 ArXiv: 2006.03780
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2022 Journal Open Access
Christiane Görgen, Manuele Leonelli and Orlando Marigliano

The curved exponential family of a staged tree

In: Electronic journal of statistics, 16 (2022) 1, pp. 2607-2620
BibTex DOI: 10.1214/22-EJS1984 ArXiv: 2010.15515
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Yassine El Maazouz

The Gaussian entropy map in valued fields

In: Algebraic statistics, 13 (2022) 1, pp. 1-18
BibTex DOI: 10.2140/astat.2022.13.1 ArXiv: 2101.00767 Code: mathrepo.mis.mpg.de
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2022 Journal Open Access
Arthur Bik and Henrik Eisenmann

The geometries of Jordan nets and Jordan webs

In: Annali di matematica pura ed applicata, 201 (2022) 5, pp. 2413-2464
BibTex DOI: 10.1007/s10231-022-01204-y ArXiv: 2201.04403 MiS Preprint Code: mathrepo.mis.mpg.de
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2022 Journal Open Access
Fulvio Gesmundo and Chiara Meroni

The geometry of discotopes

In: Le Matematiche, 77 (2022) 1, pp. 143-171
BibTex ArXiv: 2111.01241 Link: lematematiche.dmi.unict.it
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Elisenda Feliu, Nidhi Kaihnsa, Timo de Wolff and Oğuzhan Yürük

The kinetic space of multistationarity in dual phosphorylation

In: Journal of dynamics and differential equations, 34 (2022) 2, pp. 825-852
BibTex DOI: 10.1007/s10884-020-09889-6 ArXiv: 2001.08285
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2022 Journal Open Access
Claudia Fevola and Christiane Görgen

The mathematical research-data repository MathRepo

In: Computeralgebra-Rundbrief, 70 (2022), pp. 16-20
BibTex ArXiv: 2202.04022 Link: fachgruppe-computeralgebra.de
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2022 Journal Open Access
Edoardo Ballico, Arthur Bik, Alessandro Oneto and Emanuele Ventura

The set of forms with bounded strength is not closed

In: Comptes rendus mathematique, 360 (2022), pp. 371-380
BibTex DOI: 10.5802/crmath.302 ArXiv: 2012.01237
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Paul Breiding, Peter Bürgisser, Antonio Lerario and Léo Mathis

The zonoid algebra, generalized mixed volumes, and random determinants

In: Advances in mathematics, 402 (2022), p. 108361
BibTex DOI: 10.1016/j.aim.2022.108361 ArXiv: 2109.14996
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Gianira Nicoletta Alfarano, Martino Borello, Alessandro Neri and Alberto Ravagnani

Three combinatorial perspectives on minimal codes

In: SIAM journal on discrete mathematics, 36 (2022) 1, pp. 461-489
BibTex DOI: 10.1137/21M1391493 ArXiv: 2010.16339
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Matías R. Bender and Simon Telen

Toric eigenvalue methods for solving sparse polynomial systems

In: Mathematics of computation, 91 (2022) 337, pp. 2397-2429
BibTex DOI: 10.1090/mcom/3744 ArXiv: 2006.10654
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2022 Journal Open Access
Francisco Criado, Michael Joswig and Francisco Santos

Tropical bisectors and Voronoi diagrams

In: Foundations of computational mathematics, 22 (2022) 6, pp. 1923-1960
BibTex DOI: 10.1007/s10208-021-09538-4 ArXiv: 1906.10950
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2022 Journal Open Access
Wonjun Lee, Wuchen Li, Bo Lin and Anthea Monod

Tropical optimal transport and Wasserstein distances

In: Information geometry, 5 (2022), pp. 247-287
BibTex DOI: 10.1007/s41884-021-00046-6 ArXiv: 1911.05401
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2022 Repository Open Access
Alessandro Neri

Twisted linearized Reed-Solomon codes : a skew polynomial framework

In: Journal of algebra, 609 (2022), pp. 792-839
BibTex DOI: 10.1016/j.jalgebra.2022.06.027 ArXiv: 2105.10451 MiS Preprint
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Simon Bortz, Max Engelstein, Max Goering, Tatiana Toro and Zihui Zhao

Two phase free boundary problem for poisson kernels

In: Indiana University mathematics journal, 71 (2022) 1, pp. 251-306
BibTex DOI: 10.1512/iumj.2022.71.8771 ArXiv: 1908.03033
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2022 Journal Open Access
Rohini Ramadas and Rob Silversmith

Two-dimensional cycle classes on \(\overline{\mathcal {M}}_{0,n}\)

In: Mathematische Zeitschrift, 301 (2022) 4, pp. 3713-3726
BibTex DOI: 10.1007/s00209-022-03031-6 ArXiv: 2004.05491
inJournal
2022 Journal Open Access
Arthur Bik, Alessandro Danelon, Jan Draisma and Rob Eggemont

Universality of high-strength tensors

In: Vietnam journal of mathematics, 50 (2022) 2, pp. 557-580
BibTex DOI: 10.1007/s10013-021-00522-7 ArXiv: 2105.00016
inJournal
2022 Journal Open Access
Francesca Arici, Francesco Galuppi and Tatiana Gateva-Ivanova

Veronese and Segre morphisms between non-commutative projective spaces

In: European journal of mathematics, 8 (2022) Suppl. 1, pp. 235-273
BibTex DOI: 10.1007/s40879-022-00547-3 ArXiv: 2003.01681 MiS Preprint
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Diego Cifuentes, Kristian Ranestad, Bernd Sturmfels and Madeleine Weinstein

Voronoi cells of varieties

In: Journal of symbolic computation, 109 (2022), pp. 351-366
BibTex DOI: 10.1016/j.jsc.2020.07.009 ArXiv: 1811.08395 MiS Preprint
Preprint
2022 Repository Open Access
Grigoriy Blekherman, Bogdan Raiţă, Isabelle Shankar and Rainer Sinn

Weak and strong extremal biquadratics

BibTex ArXiv: 2204.10625
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2021 Repository Open Access
Chiara Meroni

Convex algebraic geometry [In: Convex geometry and its applications ; 12 December - 18 December 2021 ; report no. 59/2021]

In: Oberwolfach reports, 18 (2021) 4, pp. 3212-3214
BibTex DOI: 10.4171/OWR/2021/59 Link: publications.mfo.de
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2021 Repository Open Access
Claudia Fevola, Daniele Agostini, Taylor Brysiewicz, Lukas Kühne, Bernd Sturmfels and Simon Telen

Likelihood degenerations [In: Mini-workshop : scattering amplitudes, cluster algebras, and positive geometries ; 5 December - 11 December 2021 ; report no. 57/2021]

In: Oberwolfach reports, 18 (2021) 4, pp. 3112-3114
BibTex DOI: 10.4171/OWR/2021/57 Link: publications.mfo.de
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2021 Repository Open Access
Paul Breiding

Lösen von polynomiellen Gleichungen

In: Jahrbuch der Max-Planck-Gesellschaft : Forschungsbericht, 2021 (2021), p. 1
BibTex Link: mpg.de
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2021 Repository Open Access
Max von Renesse, Tobias Lehmann, Alexander Sambale and André Uschmajew

On overrelaxation in the Sinkhorn algorithm [In: Applications of optimal transportation in the natural sciences ; 21 February - 27 February 2021 ; report no. 10/2021]

In: Oberwolfach reports, 18 (2021) 1, pp. 555-558
BibTex DOI: 10.4171/OWR/2021/10 Link: publications.mfo.de
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2021 Repository Open Access
Daniele Agostini, Ignacio Barros and Kuan-Wen Lai

On the irrationality of moduli spaces of \(K3\) and abelian surfaces [In: Classical algebraic geometry ; 20 June - 26 June 2021 ; report no. 29/2021]

In: Oberwolfach reports, 18 (2021) 2, pp. 1557-1558
BibTex DOI: 10.4171/OWR/2021/29 Link: publications.mfo.de
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Lukas Kühne and Mohamed Barakat

Verifying Terao's freeness conjecture for small arrangements in arbitrary characteristic [In: Logarithmic vector fields and freeness of divisors and arrangements : new perspectives and applications ; 24 January - 30 January 2021 ; 5/2021]

In: Oberwolfach reports, 18 (2021) 1, pp. 258-261
BibTex DOI: 10.4171/OWR/2021/5 Link: publications.mfo.de
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Avinash Kulkarni and Antonio Lerario

\(p\)-adic integral geometry

In: SIAM journal on applied algebra and geometry, 5 (2021) 1, pp. 28-59
BibTex DOI: 10.1137/19M1284737 ArXiv: 1908.04775 MiS Preprint
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Abeer Al Ahmadieh, Mario Kummer and Miruna-Stefana Sorea

A generalization of the space of complete quadrics

In: Le Matematiche, 76 (2021) 2, pp. 431-446
BibTex DOI: 10.4418/2021.76.2.9 ArXiv: 2011.13830
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Lorenzo Venturello and Hailun Zheng

A new family of triangulations of \(\mathbb{R}P^d\)

In: Combinatorica, 41 (2021) 1, pp. 127-146
BibTex DOI: 10.1007/s00493-020-4351-2 ArXiv: 1910.07433 MiS Preprint
Preprint
2021 Repository Open Access
Noémie Combe

A note on exponential varieties, statistical manifolds and Frobenius structures

BibTex ArXiv: 2110.02607
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2021 Journal Open Access
Paul Görlach, Christian Lehn and Anna-Laura Sattelberger

Algebraic analysis of the hypergeometric function \(\,{_1F_{\!\!\;1}}\,\) of a matrix argument

In: Beiträge zur Algebra und Geometrie, 62 (2021) 2, pp. 397-427
BibTex DOI: 10.1007/s13366-020-00546-z ArXiv: 2005.06162
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Alexander Heaton and Isabelle Shankar

An SOS counterexample to an inequality of symmetric functions

In: Journal of pure and applied algebra, 225 (2021) 8, p. 106656
BibTex DOI: 10.1016/j.jpaa.2020.106656 ArXiv: 1909.00081 MiS Preprint Code: mathrepo.mis.mpg.de
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2021
Noémie Combe

At the frontiers of reality and imagination : when the brain is tricked

In: L'Op Art rencontre les neurosciences
Lausanne : Favre, 2021. - pp. 48-57
BibTex
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2021 Journal Open Access
Yuhan Jiang and Bernd Sturmfels

Bad projections of the PSD cone

In: Collectanea mathematica, 72 (2021) 2, pp. 261-280
BibTex DOI: 10.1007/s13348-021-00319-4 ArXiv: 2006.09956
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2021 Repository Open Access
Lara Bossinger

Birational sequences and the tropical Grassmannian

In: Journal of algebra, 585 (2021), pp. 784-803
BibTex DOI: 10.1016/j.jalgebra.2021.04.028 ArXiv: 1903.12106
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2021 Repository Open Access
Matthias Christandl, Fulvio Gesmundo, Mateusz Michałek and Jeroen Zuiddam

Border rank non-additivity for higher order tensors

In: SIAM journal on matrix analysis and applications, 42 (2021) 2, pp. 503-527
BibTex DOI: 10.1137/20M1357366 ArXiv: 2007.05458
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2021 Journal Open Access
Alexander Heaton, Songpon Sriwongsa and Jeb F. Willenbring

Branching from the general linear group to the symmetric group and the principal embedding

In: Algebraic combinatorics, 4 (2021) 2, pp. 189-200
BibTex DOI: 10.5802/alco.138 ArXiv: 1812.06211
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Roser Homs and Anna-Lena Winz

Canonical Hilbert-Burch matrices for power series

In: Journal of algebra, 583 (2021), pp. 1-24
BibTex DOI: 10.1016/j.jalgebra.2021.04.021 ArXiv: 2004.04776 MiS Preprint
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2021 Journal Open Access
Isobel Davies and Orlando Marigliano

Coloured graphical models and their symmetries

In: Le Matematiche, 76 (2021) 2, pp. 501-515
BibTex DOI: 10.4418/2021.76.2.13 ArXiv: 2012.01905
Preprint
2021 Repository Open Access
Federico Castillo, Joseph Doolittle and Jose Alejandro Samper

Common tangents to polytopes

BibTex ArXiv: 2108.13569
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Christian Krumnow, Max Pfeffer and André Uschmajew

Computing eigenspaces with low rank constraints

In: SIAM journal on scientific computing, 43 (2021) 1, A586-A608
BibTex DOI: 10.1137/19M1308384 MiS Preprint
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2021 Repository Open Access
Leon Zhang

Computing min-convex hulls in the affine building of \(SL_d\)

In: Discrete and computational geometry, 65 (2021) 4, pp. 1314-1336
BibTex DOI: 10.1007/s00454-020-00223-x ArXiv: 1811.08884 MiS Preprint
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Daniele Agostini and Lynn Chua

Computing theta functions with Julia

In: Journal of software for algebra and geometry, 11 (2021) 1, pp. 41-51
BibTex DOI: 10.2140/jsag.2021.11.41 ArXiv: 1906.06507
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Justin Chen, Sameera Vemulapalli and Leon Zhang

Computing unit groups of curves

In: Journal of symbolic computation, 104 (2021), pp. 236-255
BibTex DOI: 10.1016/j.jsc.2020.05.002 ArXiv: 1808.02742 MiS Preprint
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2021 Repository Open Access
Ralph Morrison and Ayush Kumar Tewari

Convex lattice polygons with all lattice points visible

In: Discrete mathematics, 344 (2021) 1, p. 112161
BibTex DOI: 10.1016/j.disc.2020.112161 ArXiv: 2005.04180 MiS Preprint
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2021 Journal Open Access
Michael Joswig, Marta Panizzut and Bernd Sturmfels

Correction to [updated to open access] : 'The Schläfli fan' [In: Discrete and computational geometry, 64 (2020) 2, p. 355-381]

In: Discrete and computational geometry, 66 (2021) 4, pp. 1217-1217
BibTex DOI: 10.1007/s00454-021-00322-3
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Lukas Holzbaur, Hedongliang Liu, Alessandro Neri, Sven Puchinger, Johan Rosenkilde, Vladimir Sidorenko and Antonia Wachter-Zeh

Decoding of interleaved alternant codes

In: IEEE transactions on information theory, 67 (2021) 12, pp. 8016-8033
BibTex DOI: 10.1109/TIT.2021.3115432 ArXiv: 2010.07142
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2021 Journal Open Access
Taylor Brysiewicz, Jose Israel Rodriguez, Frank Sottile and Thomas Yahl

Decomposable sparse polynomial systems

In: Journal of software for algebra and geometry, 11 (2021) 1, pp. 53-59
BibTex DOI: 10.2140/jsag.2021.11.53 ArXiv: 2006.03154 Code: www.math.tamu.edu
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Papri Dey

Definite determinantal representations via orthostochastic matrices

In: Journal of symbolic computation, 104 (2021), pp. 15-37
BibTex DOI: 10.1016/j.jsc.2020.04.005 ArXiv: 1708.09559
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Noémie Combe, Yuri I. Manin and Matilde Marcolli

Dessins for modular operads and the Grothendieck-Teichmüller group

In: Topology and geometry : a collection of essays dedicated to Vladimir G. Turaev / Athanase Papadopoulos (ed.)
Berlin : European Mathematical Society, 2021. - pp. 537-560
(IRMA lectures in mathematics and theoretical physics ; 33)
BibTex DOI: 10.4171/IRMA/33-1/24 ArXiv: 2006.13663
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2021 Journal Open Access
Paul Görlach, Yue Ren and Jeff Sommars

Detecting tropical defects of polynomial equations

In: Journal of algebraic combinatorics, 53 (2021) 1, pp. 31-47
BibTex DOI: 10.1007/s10801-019-00916-4 ArXiv: 1809.03350 Code: mathrepo.mis.mpg.de
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Eliana Duarte, Orlando Marigliano and Bernd Sturmfels

Discrete statistical models with rational maximum likelihood estimator

In: Bernoulli, 27 (2021) 1, pp. 135-154
BibTex DOI: 10.3150/20-BEJ1231 ArXiv: 1903.06110 MiS Preprint
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Edgar Costa and Emre Can Sertöz

Effective obstruction to lifting Tate classes from positive characteristic

In: Arithmetic geometry, number theory, and computation / Jennifer S. Balakrishnan (ed.)
Cham : Springer, 2021. - pp. 293-333
(Simons Symposia)
BibTex DOI: 10.1007/978-3-030-80914-0_9 ArXiv: 2003.11037 MiS Preprint
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Valentina Beorchia, Francesco Galuppi and Lorenzo Venturello

Eigenschemes of Ternary tensors

In: SIAM journal on applied algebra and geometry, 5 (2021) 4, pp. 620-650
BibTex DOI: 10.1137/20M1355410 ArXiv: 2007.12789
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2021 Journal Open Access
Yairon Cid-Ruiz

Equations and multidegrees for inverse symmetric matrix pairs

In: Le Matematiche, 76 (2021) 2, pp. 369-381
BibTex DOI: 10.4418/2021.76.2.5 ArXiv: 2011.04616
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András Christian Lőrincz and Michael Perlman

Equivariant \(D\)-modules on alternating senary 3-tensors

In: Nagoya mathematical journal, 243 (2021), pp. 61-82
BibTex DOI: 10.1017/nmj.2019.33 ArXiv: 1809.08955
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Aida Maraj and Uwe Nagel

Equivariant Hilbert series for hierarchical models

In: Algebraic statistics, 12 (2021) 1, pp. 21-42
BibTex DOI: 10.2140/astat.2021.12.21 ArXiv: 1909.13026
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Markus Bachmayr, Henrik Eisenmann, Emil Kieri and André Uschmajew

Existence of dynamical low-rank approximations to parabolic problems

In: Mathematics of computation, 90 (2021) 330, pp. 1799-1830
BibTex DOI: 10.1090/mcom/3626 ArXiv: 2002.12197 MiS Preprint
Preprint
2021 Repository Open Access
Pavle V. M. Blagojević, Paul Breiding and Alexander Heaton

Facet volumes of polytopes

BibTex ArXiv: 2112.08437
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Markus Brodmann and Peter Schenzel

Families of blowups of the real affine plane : classification, isotopies and visualization

In: Journal of symbolic computation, 104 (2021), pp. 874-898
BibTex DOI: 10.1016/j.jsc.2020.10.004 ArXiv: 1811.06710 MiS Preprint
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Victoria Cantoral-Farfán, Alice Garbagnati, Cecilia Salgado, Antonela Trbović and Rosa Winter

Fields of definition of elliptic fibrations on covers of certain extremal rational elliptic surfaces

In: Women in numbers Europe III : research directions in number theory / Alina Carmen Cojocaru... (eds.)
Cham : Springer, 2021. - pp. 171-205
(Association for Women in Mathematics Series)
BibTex DOI: 10.1007/978-3-030-77700-5_6 ArXiv: 2007.14043
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2021 Repository Open Access
Federico Castillo and Jose Alejandro Samper

Finiteness theorems for matroid complexes with prescribed topology

In: European journal of combinatorics, 92 (2021), p. 103239
BibTex DOI: 10.1016/j.ejc.2020.103239 ArXiv: 1809.00281
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2021 Journal Open Access
Michael Joswig and Ayush Kumar Tewari

Forbidden patterns in tropical plane curves

In: Beiträge zur Algebra und Geometrie, 62 (2021) 1, pp. 65-81
BibTex DOI: 10.1007/s13366-020-00523-6 ArXiv: 2002.02270
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Noémie Combe, Philippe Combe and Hanna Nencka

Frobenius statistical manifolds and geometric invariants

In: Geometric science of information : 5th international conference, GSI 2021, Paris, France, July 21-23, 2021, proceedings / Frank Nielsen... (eds.)
Cham : Springer, 2021. - pp. 565-573
(Lecture notes in computer science ; 12829)
BibTex DOI: 10.1007/978-3-030-80209-7_61 ArXiv: 2107.08446 MiS Preprint
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2021 Repository Open Access
Lara Bossinger

Full-rank valuations and toric initial ideals

In: International mathematics research notices, 2021 (2021) 10, pp. 7715-7763
BibTex DOI: 10.1093/imrn/rnaa071 ArXiv: 1903.11068
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Sara Kališnik Verovšek, Christian Lehn and Vlada Limic

Geometric and probabilistic limit theorems in topological data analysis

In: Advances in applied mathematics, 131 (2021), p. 102244
BibTex DOI: 10.1016/j.aam.2021.102244 ArXiv: 1903.00470 MiS Preprint
Preprint
2021 Repository Open Access
Rodica Dinu, Mateusz Michałek and Martin Vodička

Geometry of the Gaussian graphical model of the cycle

BibTex ArXiv: 2111.02937
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Carlos Guerra, Manuel Delgado-Baquerizo, Eliana Duarte, Orlando Marigliano, Christiane Görgen, Fernando T. Maestre and Nico Eisenhauer

Global projections of the soil microbiome in the Anthropocene

In: Global ecology and biogeography, 30 (2021) 5, pp. 987-999
BibTex DOI: 10.1111/geb.13273 Code: figshare.com
Preprint
2021 Repository Open Access
Askol Khovanskii and Leonid Monin

Gorenstein algebras and toric bundles

BibTex ArXiv: 2106.15562
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Takayuki Hibi, Michał Lasoń, Kazunori Matsuda, Mateusz Michałek and Martin Vodička

Gorenstein graphic matroids

In: Israel journal of mathematics, 243 (2021) 1, pp. 1-26
BibTex DOI: 10.1007/s11856-021-2136-y ArXiv: 1905.05418 MiS Preprint
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Rodica Dinu and Martin Vodička

Gorenstein property for phylogenetic trivalent trees

In: Journal of algebra, 575 (2021), pp. 233-255
BibTex DOI: 10.1016/j.jalgebra.2021.02.012 ArXiv: 2003.04751
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Lamprini Ananiadi and Eliana Duarte

Gröbner bases for staged trees

In: Algebraic statistics, 12 (2021) 1, pp. 1-20
BibTex DOI: 10.2140/astat.2021.12.1 ArXiv: 1910.02721 MiS Preprint
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Mima Stanojkovski and Christopher Voll

Hessian matrices, automorphisms of \(p\)-groups, and torsion points of elliptic curves

In: Mathematische Annalen, 381 (2021) 1-2, pp. 593-629
BibTex DOI: 10.1007/s00208-021-02193-8 ArXiv: 1912.09860
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Alexander Heaton and Songpon Sriwongsa

Hilbert series of typical representations for Lie superalgebras

In: Journal of lie theory, 31 (2021) 3, pp. 797-809
BibTex ArXiv: 2011.02185 Link: www.heldermann.de
Book
2021
Mateusz Michałek and Bernd Sturmfels

Invitation to nonlinear algebra

Providence, R.I. : American Mathematical Society, 2021. - p. 226
(Graduate studies in mathematics ; 211)
ISBN: 978-1-4704-5367-1, ISBN: 978-1-4704-6308-3, ISSN: 1065-7339
BibTex DOI: 10.1090/gsm/211 Code: mathrepo.mis.mpg.de
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Alberto Castano Dominguez and Christian Sevenheck

Irregular Hodge filtration of some confluent hypergeometric systems

In: Journal of the Institute of Mathematics of Jussieu, 20 (2021) 2, pp. 627-668
BibTex DOI: 10.1017/S1474748019000288 ArXiv: 1707.03259
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Kathlén Kohn and James Mathews

Isotropic and coisotropic subvarieties of Grassmannians

In: Advances in mathematics, 377 (2021), p. 107492
BibTex DOI: 10.1016/j.aim.2020.107492 ArXiv: 1901.06584
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2021 Journal Open Access
Arthur Bik, Henrik Eisenmann and Bernd Sturmfels

Jordan algebras of symmetric matrices

In: Le Matematiche, 76 (2021) 2, pp. 337-353
BibTex DOI: 10.4418/2021.76.2.3 ArXiv: 2010.00277 Code: mathrepo.mis.mpg.de
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2021 Repository Open Access
Rodica Dinu, Christopher Eur and Tim Seynnaeve

K-theoretic Tutte polynomials of morphisms of matroids

In: Journal of combinatorial theory / A, 181 (2021), p. 105414
BibTex DOI: 10.1016/j.jcta.2021.105414 ArXiv: 2004.00112
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Gabriele Baletti, Marta Panizzut and Bernd Sturmfels

K3 polytopes and their quartic surfaces

In: Advances in geometry, 21 (2021) 1, pp. 85-98
BibTex DOI: 10.1515/advgeom-2020-0016 ArXiv: 1806.02236 MiS Preprint
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Bernd Sturmfels and Simon Telen

Likelihood equations and scattering amplitudes

In: Algebraic statistics, 12 (2021) 2, pp. 167-186
BibTex DOI: 10.2140/astat.2021.12.167 ArXiv: 2012.05041
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2021 Journal Open Access
Yuhan Jiang, Kathlén Kohn and Rosa Winter

Linear spaces of symmetric matrices with non-maximal maximum likelihood degree

In: Le Matematiche, 76 (2021) 2, pp. 461-481
BibTex DOI: 10.4418/2021.76.2.11 ArXiv: 2012.00145
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Yulia Alexandr and Alexander Heaton

Logarithmic Voronoi cells

In: Algebraic statistics, 12 (2021) 1, pp. 75-95
BibTex DOI: 10.2140/astat.2021.12.75 ArXiv: 2006.09431 Code: mathrepo.mis.mpg.de
inJournal
2021
Christiane Görgen and Rainer Sinn

Mathematik in der Nationalen Forschungsdateninfrastruktur

In: Mitteilungen der Deutschen Mathematiker-Vereinigung, 29 (2021) 3, pp. 122-123
BibTex DOI: 10.1515/dmvm-2021-0049
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Mateusz Michałek, Leonid Monin and Jarosław Wiśniewski

Maximum likelihood degree, complete quadrics and \({\mathbb C}^*\)-action

In: SIAM journal on applied algebra and geometry, 5 (2021) 1, pp. 60-85
BibTex DOI: 10.1137/20M1335960 ArXiv: 2004.07735 Code: mathrepo.mis.mpg.de
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Stefan Dye, Kathlén Kohn, Felix Rydell and Rainer Sinn

Maximum likelihood estimation for nets of conics

In: Le Matematiche, 76 (2021) 2, pp. 399-414
BibTex DOI: 10.4418/2021.76.2.7 ArXiv: 2011.08989
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2021 Repository Open Access
Elina Robeva, Bernd Sturmfels, Ngoc Mai Tran and Caroline Uhler

Maximum likelihood estimation for totally positive log-concave densities

In: Scandinavian journal of statistics, 48 (2021) 3, pp. 817-844
BibTex DOI: 10.1111/sjos.12462 ArXiv: 1806.10120 MiS Preprint
Preprint
2021 Repository Open Access
Taylor Brysiewicz, Anna-Laura Sattelberger, Mima Stanojkovski and Rosa Winter

Meet and greet with OSCAR

BibTex Code: mathrepo.mis.mpg.de
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2021 Repository Open Access
András Christian Lőrincz

Minimal free resolutions of ideals of minors associated to pairs of matrices

In: Proceedings of the American Mathematical Society, 149 (2021) 5, pp. 1857-1873
BibTex DOI: 10.1090/proc/15284 ArXiv: 2001.08709 MiS Preprint
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Federico Castillo, Joseph Doolittle, Bennet Goeckner, Michael S. Ross and Li Ying

Minkowski summands of cubes

In: Séminaire lotharingien de combinatoire, 85B (2021), p. 59
BibTex ArXiv: 2009.07252 Link: www.emis.de
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2021 Repository Open Access
Yairon Cid-Ruiz

Mixed multiplicities and projective degrees of rational maps

In: Journal of algebra, 566 (2021), pp. 136-162
BibTex DOI: 10.1016/j.jalgebra.2020.08.037 ArXiv: 2001.00547 MiS Preprint
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Sascha Timme

Mixed precision path tracking for polynomial homotopy continuation

In: Advances in computational mathematics, 47 (2021) 5, p. 75
BibTex DOI: 10.1007/s10444-021-09899-y ArXiv: 1902.02968 MiS Preprint
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Wolfgang Hackbusch and André Uschmajew

Modified iterations for data-sparse solution of linear systems

In: Vietnam journal of mathematics, 49 (2021) 2, pp. 493-512
BibTex DOI: 10.1007/s10013-021-00504-9 MiS Preprint
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Daniele Agostini, Carlos Améndola and Kristian Ranestad

Moment identifiability of homoscedastic Gaussian mixtures

In: Foundations of computational mathematics, 21 (2021) 3, pp. 695-724
BibTex DOI: 10.1007/s10208-020-09469-6 ArXiv: 1905.05141
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2021 Repository Open Access
Yairon Cid-Ruiz and Vivek Mukundan

Multiplicity of the saturated special fiber ring of height three Gorenstein ideals

In: Acta mathematica Vietnamica, 46 (2021) 4, pp. 663-674
BibTex DOI: 10.1007/s40306-020-00410-1 ArXiv: 1909.13633 MiS Preprint
inJournal
2021 Journal Open Access
Taylor Brysiewicz, Khazhgali Kozhasov and Mario Kummer

Nodes on quintic spectrahedra

In: Le Matematiche, 76 (2021) 2, pp. 415-430
BibTex DOI: 10.4418/2021.76.2.8 ArXiv: 2011.13860 Code: mathrepo.mis.mpg.de
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2021 Repository Open Access
Yairon Cid-Ruiz

Noetherian operators, primary submodules and symbolic powers

In: Collectanea mathematica, 72 (2021) 1, pp. 175-202
BibTex DOI: 10.1007/s13348-020-00285-3 ArXiv: 1909.07253 MiS Preprint
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2021 Repository Open Access
Martin Vodička

Normality of the Kimura 3-parameter model

In: SIAM journal on discrete mathematics, 35 (2021) 3, pp. 1536-1547
BibTex DOI: 10.1137/19M1250819 ArXiv: 1902.11057
Preprint
2021 Repository Open Access
Daniele Agostini, Türkü Özlüm Celik and John B. Little

On algebraic theta divisors and rational solutions of the KP equation

BibTex ArXiv: 2112.03147
inJournal
2021 Journal Open Access
Hossein Movasati and Emre Can Sertöz

On reconstructing subvarieties from their periods

In: Rendiconti del Circolo Matematico di Palermo, 70 (2021) 3, pp. 1441-1457
BibTex DOI: 10.1007/s12215-020-00562-x ArXiv: 1908.03221
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2021 Journal Open Access
Lisa Nicklasson

On the Betti numbers and Rees algebras of ideals with linear powers

In: Journal of algebraic combinatorics, 53 (2021) 2, pp. 575-592
BibTex DOI: 10.1007/s10801-021-01026-w ArXiv: 1904.01995
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2021 Repository Open Access
Mohamed Barakat, Reimer Behrends, Christoper Jefferson, Lukas Kühne and Martin Leuner

On the generation of rank 3 simple matroids with an application to Terao' freeness conjecture

In: SIAM journal on discrete mathematics, 35 (2021) 2, pp. 1201-1223
BibTex DOI: 10.1137/19M1296744 ArXiv: 1907.01073 MiS Preprint Code: mathrepo.mis.mpg.de
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Daniele Agostini and Lynn Chua

On the Schottky problem for genus-five Jacobians with a vanishing theta null

In: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 22 (2021) 1, pp. 333-350
BibTex DOI: 10.2422/2036-2145.201909_013 ArXiv: 1905.09366
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2021 Journal Open Access
Federico Castillo and Fu Liu

On the Todd class of the permutohedral variety

In: Algebraic combinatorics, 4 (2021) 3, pp. 387-407
BibTex DOI: 10.5802/alco.157 ArXiv: 1909.09127
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2021 Journal Open Access
Lucja Farnik, Francesco Galuppi, Luca Sodomaco and William Trok

On the unique unexpected quartic in \(\mathbb{P}^2\)

In: Journal of algebraic combinatorics, 53 (2021) 1, pp. 131-146
BibTex DOI: 10.1007/s10801-019-00922-6 ArXiv: 1804.03590
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2021 Journal Open Access
Hanieh Keneshlou and Fabio Tanturri

On the unirationality of moduli spaces of pointed curves

In: Mathematische Zeitschrift, 299 (2021) 3-4, pp. 1973-1986
BibTex DOI: 10.1007/s00209-021-02741-7 ArXiv: 2003.07888
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2021 Repository Open Access
Matthias Christandl, Fulvio Gesmundo, Daniel Stilck França and Albert H. Werner

Optimization at the boundary of the tensor network variety

In: Physical review / B, 103 (2021) 9, p. 195139
BibTex DOI: 10.1103/PhysRevB.103.195139 ArXiv: 2006.16963
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2021 Journal Open Access
Claudia Fevola, Yelena Mandelshtam and Bernd Sturmfels

Pencils of quadrics : old and new

In: Le Matematiche, 76 (2021) 2, pp. 319-335
BibTex DOI: 10.4418/2021.76.2.2 ArXiv: 2009.04334
inJournal
2021 Journal Open Access
Daniele Agostini and Ignacio Barros

Pencils on surfaces with normal crossings and the Kodaira dimension of \(\overline{\mathcal{M}}_{g,n}\)

In: Forum of mathematics / Sigma, 9 (2021), e31
BibTex DOI: 10.1017/fms.2021.28 ArXiv: 2008.12826 Code: www.math.hu-berlin.de
inJournal
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Yairon Cid-Ruiz, Roser Homs and Bernd Sturmfels

Primary ideals and their differential equations

In: Foundations of computational mathematics, 21 (2021) 5, pp. 1363-1399
BibTex DOI: 10.1007/s10208-020-09485-6 ArXiv: 2001.04700 Code: mathrepo.mis.mpg.de
Preprint
2021 Repository Open Access
Noémie Combe, Philippe Combe and Hanna Nencka

Pseudo-elliptic geometry of a class of Frobenius-manifolds and Maurer-Cartan structures

BibTex ArXiv: 2107.01985
inJournal
2021 Journal Open Access
Antonio Lerario and Raffaella Mulas

Random geometric complexes and graphs on Riemannian manifolds in the thermodynamic limit

In: Discrete and computational geometry, 66 (2021) 3, pp. 1072-1104
BibTex DOI: 10.1007/s00454-020-00238-4 ArXiv: 1906.07092
Academic
2021 Repository Open Access
Mahsa Sayyary Namin

Real algebraic geometry of the sextic curves

Dissertation, Universität Leipzig, 2021
BibTex Link: nbn-resolving.org
inJournal
2021 Journal Open Access
Rida Ait El Manssour, Mara Belotti and Chiara Meroni

Real lines on random cubic surfaces

In: Arnold mathematical journal, 7 (2021) 4, pp. 541-559
BibTex DOI: 10.1007/s40598-021-00182-y ArXiv: 1910.07326
inJournal
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Martin Möller, Martin Ulirsch and Annette Werner

Realizability of tropical canonical divisors

In: Journal of the European Mathematical Society, 23 (2021) 1, pp. 185-217
BibTex DOI: 10.4171/JEMS/1009 ArXiv: 1710.06401
inJournal
2021 Journal Open Access
Tobias Boege, Jane Ivy Coons, Christopher Eur, Aida Maraj and Frank Röttger

Reciprocal maximum likelihood degrees of Brownian motion tree models

In: Le Matematiche, 76 (2021) 2, pp. 383-398
BibTex DOI: 10.4418/2021.76.2.6 ArXiv: 2009.11849
inJournal
2021 Journal Open Access
Christopher Eur, Tara Fife, Jose Alejandro Samper and Tim Seynnaeve

Reciprocal maximum likelihood degrees of diagonal linear concentration models

In: Le Matematiche, 76 (2021) 2, pp. 447-459
BibTex DOI: 10.4418/2021.76.2.10 ArXiv: 2011.14182 MiS Preprint
inJournal
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Yuhan Jiang and Weiqiao Han

Singularities and genus of the \({k}\)-ellipse

In: Journal of symbolic computation, 104 (2021), pp. 343-355
BibTex DOI: 10.1016/j.jsc.2020.06.009 ArXiv: 1908.01414
inJournal
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Taylor Brysiewicz, Jose Israel Rodriguez, Frank Sottile and Thomas Yahl

Solving decomposable sparse systems

In: Numerical algorithms, 88 (2021) 1, pp. 453-474
BibTex DOI: 10.1007/s11075-020-01045-x ArXiv: 2001.04228 Code: www.math.tamu.edu
Preprint
2021 Repository Open Access
Dominic Bunnett, Michael Joswig and Julian Pfeifle

Stacky fans and tropical moduli in polymake

BibTex ArXiv: 2101.07316
inJournal
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Alessio D'Alì and Emanuele Delucchi

Stanley-Reisner rings for symmetric simplicial complexes, \(G\)-semimatroids and Abelian arrangements

In: Journal of combinatorial algebra, 5 (2021) 3, pp. 185-236
BibTex DOI: 10.4171/JCA/53 ArXiv: 1804.07366 MiS Preprint
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Sara Kališnik Verovšek and Davorin Lešnik

Symmetric polynomials in upper-bound semirings

In: Journal of symbolic computation, 103 (2021), pp. 280-299
BibTex DOI: 10.1016/j.jsc.2020.02.001 ArXiv: 1801.08882 MiS Preprint
inBook
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Noémie Combe and Yuri I. Manin

Symmetries of genus zero modular operad

In: Integrability, quantization, and geometry II. : Quantum theories and algebraic geometry ; dedicated to the memory of Boris Dubrovin 1950-2019 / Sergey Novikov... (eds.)
Providence : American Mathematical Society, 2021. - pp. 101-109
(Proceedings of symposia in pure mathematics ; 103.2)
BibTex DOI: 10.1090/pspum/103.2 ArXiv: 1907.10317
inJournal
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Alexander Heaton, Serkan Hoşten and Isabelle Shankar

Symmetry adapted gram spectrahedra

In: SIAM journal on applied algebra and geometry, 5 (2021) 1, pp. 140-164
BibTex DOI: 10.1137/20M133796X ArXiv: 2004.09641
inJournal
2021 Journal Open Access
Taylor Brysiewicz, Claudia Fevola and Bernd Sturmfels

Tangent quadrics in real 3-space

In: Le Matematiche, 76 (2021) 2, pp. 355-367
BibTex DOI: 10.4418/2021.76.2.4 ArXiv: 2010.10879 Code: mathrepo.mis.mpg.de
inJournal
2021 Journal Open Access
Rosa Winter and Ronald van Luijk

The action of the Weyl group on the \(E_8\) root system

In: Graphs and combinatorics, 37 (2021) 6, pp. 1965-2064
BibTex DOI: 10.1007/s00373-021-02315-8 ArXiv: 1901.06945
inBook
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Tatiana Gateva-Ivanova

The braided group of a square-free solution of the Yang-Baxter equation and its group algebra

In: Advanced computing in industrial mathematics : 13th annual meeting of the Bulgarian section of SIAM, December 18-20, 2018, Sofia, Bulgaria, revised selected papers / Ivan Georgiev... (eds.)
Cham : Springer, 2021. - pp. 182-197
(Studies in computational intelligence ; 961)
BibTex DOI: 10.1007/978-3-030-71616-5_17 ArXiv: 1902.00962
inJournal
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Taylor Brysiewicz and Fulvio Gesmundo

The degree of Stiefel manifolds

In: Enumerative combinatorics and applications, 1 (2021) 3, S2R20
BibTex DOI: 10.54550/eca2021v1s3r20 ArXiv: 1909.10085
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Daniele Agostini, Türkü Özlüm Celik and Bernd Sturmfels

The Dubrovin threefold of an algebraic curve

In: Nonlinearity, 34 (2021) 6, pp. 3783-3812
BibTex DOI: 10.1088/1361-6544/abf08c ArXiv: 2005.08244
inJournal
2021 Journal Open Access
Michael Joswig and Timo de Wolff

The international congress on mathematical software goes virtual : experience from organizing an online conference in times of COVID-19

In: Notices of the American Mathematical Society, 68 (2021) 6, pp. 938-939
BibTex Link: www.ams.org
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Carlos Améndola, Lukas Gustafsson, Kathlén Kohn, Orlando Marigliano and Anna Seigal

The maximum likelihood degree of linear spaces of symmetric matrices

In: Le Matematiche, 76 (2021) 2, pp. 535-557
BibTex DOI: 10.4418/2021.76.2.15 ArXiv: 2012.00198
inJournal
2021 Journal Open Access
Hanieh Keneshlou and Frank-Olaf Schreyer

The unirational components of the strata of genus \(11\) curves with several pencils of degree \(6\) in \(\mathcal{M}_{11}\)

In: Documenta mathematica, 26 (2021), pp. 415-439
BibTex DOI: 10.4171/DM/817 ArXiv: 1903.00254
inJournal
2021 Journal Open Access
Lukas Kühne

The universality of the resonance arrangement and its Betti numbers

In: Séminaire lotharingien de combinatoire, 85B (2021), p. 75
BibTex ArXiv: 2008.10553 MiS Preprint Link: www.emis.de
inJournal
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Daniele Agostini, Türkü Özlüm Celik, Julia Struwe and Bernd Sturmfels

Theta surfaces

In: Vietnam journal of mathematics, 49 (2021) 2, pp. 319-347
BibTex DOI: 10.1007/s10013-020-00443-x ArXiv: 2001.11385 Link: math.berkeley.edu
inJournal
2021 Journal Open Access
Türkü Özlüm Celik

Thomae-Weber formula : algebraic computations of theta constants

In: International mathematics research notices, 2021 (2021) 23, pp. 17798-17822
BibTex DOI: 10.1093/imrn/rnz302 ArXiv: 1901.08459 MiS Preprint
inJournal
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Anna-Laura Sattelberger

Topological computation of Stokes matrices of some weighted projective lines

In: Manuscripta mathematica, 164 (2021) 3/4, pp. 327-347
BibTex DOI: 10.1007/s00229-020-01193-3 ArXiv: 1810.10954
inJournal
2021 Journal Open Access
Francesco Galuppi and Mima Stanojkovski

Toric varieties from cyclic matrix semigroups

In: Rendiconti dell'Istituto di Matematica dell'Universita di Trieste, 53 (2021), p. 17
BibTex DOI: 10.13137/2464-8728/33099 ArXiv: 2002.02713 MiS Preprint
inJournal
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Fatemeh Mohammadi, Leonid Monin and Matteo Parisi

Triangulations and canonical forms of amplituhedra : a fiber-based approach beyond polytopes

In: Communications in mathematical physics, 387 (2021) 2, pp. 927-972
BibTex DOI: 10.1007/s00220-021-04160-5 ArXiv: 2010.07254
inJournal
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Marvin Anas Hahn, Hannah Markwig, Yue Ren and Ilya Tyomkin

Tropicalized quartics and canonical embeddings for tropical curves of genus 3

In: International mathematics research notices, 2021 (2021) 12, pp. 8946-8976
BibTex DOI: 10.1093/imrn/rnz084 ArXiv: 1802.02440 MiS Preprint Code: mathrepo.mis.mpg.de
inJournal
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Türkü Özlüm Celik, Asgar Jamneshan, Guido Montúfar, Bernd Sturmfels and Lorenzo Venturello

Wasserstein distance to independence models

In: Journal of symbolic computation, 104 (2021), pp. 855-873
BibTex DOI: 10.1016/j.jsc.2020.10.005 ArXiv: 2003.06725
inJournal
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Xavier Allamigeon, Pascal Benchimol, Stéphane Gaubert and Michael Joswig

What tropical geometry tells us about the complexity of linear programming

In: SIAM review, 63 (2021) 1, pp. 123-164
BibTex DOI: 10.1137/20M1380211 Link: hal.inria.fr
inJournal
2020 Journal Open Access
Noémie Combe and Yuri I. Manin

\(F\)-manifolds and geometry of information

In: The bulletin of the London Mathematical Society, 52 (2020) 5, pp. 777-792
BibTex DOI: 10.1112/blms.12411 ArXiv: 2004.08808
inJournal
2020 Journal Open Access
Paul Breiding, Bernd Sturmfels and Sascha Timme

3264 conics in a second

In: Notices of the American Mathematical Society, 67 (2020) 1, pp. 30-37
BibTex ArXiv: 1902.05518 MiS Preprint Link: www.ams.org
inJournal
2020 Journal Open Access
Laura Brustenga i Moncusí, Sascha Timme and Madeleine Weinstein

96120 : The degree of the linear orbit of a cubic surface

In: Le Matematiche, 75 (2020) 2, pp. 425-437
BibTex DOI: 10.4418/2020.75.2.2 ArXiv: 1909.06620
inJournal
2020 Repository Open Access
Xue Liu

A counterexample to the extension space conjecture for realizable oriented matroids

In: The journal of the London Mathematical Society, 101 (2020) 1, pp. 175-193
BibTex DOI: 10.1112/jlms.12264 ArXiv: 1606.05033
inJournal
2020 Journal Open Access
Renzo Cavalieri, Martin Ulirsch, Melody Chan and Jonathan Wise

A moduli stack of tropical curves

In: Forum of mathematics / Sigma, 8 (2020), e23
BibTex DOI: 10.1017/fms.2020.16 ArXiv: 1704.03806 MiS Preprint
inBook
2020
Luca Carlini, Nihat Ay and Christiane Görgen

A numerical efficiency analysis of a common ancestor condition

In: Mathematical aspects of computer and information sciences : 8th international conference, MACIS 2019, Gebze-Istanbul, Turkey, November 13-15, 2019 ; revised selected papers / Daniel Slamanig... (eds.)
Cham : Springer, 2020. - pp. 357-363
(Lecture notes in computer science ; 11989)
BibTex DOI: 10.1007/978-3-030-43120-4_28 Link: macis2019.gtu.edu.tr
inJournal
2020 Journal Open Access
Maciej Dołęga, Thomas Gerber and Jacinta Torres

A positive combinatorial formula for symplectic Kostka-Foulkes polynomials I : Rows

In: Journal of algebra, 560 (2020), pp. 1253-1296
BibTex DOI: 10.1016/j.jalgebra.2020.05.030 ArXiv: 1911.06732
inJournal
2020 Journal Open Access
Maciej Dołęga, Thomas Gerber and Jacinta Torres

A positive combinatorial formula for symplectic Kostka-Foulkes polynomials I : Rows

In: Séminaire lotharingien de combinatoire, 84B (2020), p. 42
BibTex ArXiv: 1911.06732 Link: www.emis.de
inJournal
2020 Journal Open Access
Madeline Brandt and Alheydis Geiger

A tropical count of binodal cubic surfaces

In: Le Matematiche, 75 (2020) 2, pp. 627-649
BibTex DOI: 10.4418/2020.75.2.14 ArXiv: 1909.09105
inJournal
2020 Repository Open Access
Michael F. Adamer, András Christian Lőrincz, Anna-Laura Sattelberger and Bernd Sturmfels

Algebraic analysis of rotation data

In: Algebraic statistics, 11 (2020) 2, pp. 189-211
BibTex DOI: 10.2140/astat.2020.11.189 ArXiv: 1912.00396
Academic
2020 Repository Open Access
Tim Seynnaeve

Algebraic geometry for tensor networks, matrix multiplication, and flag matroids

Dissertation, Universität Leipzig, 2020
BibTex Link: nbn-resolving.org
inJournal
2020 Journal Open Access
Marta Panizzut, Emre Can Sertöz and Bernd Sturmfels

An octanomial model for cubic surfaces

In: Le Matematiche, 75 (2020) 2, pp. 517-536
BibTex DOI: 10.4418/2020.75.2.8 ArXiv: 1908.06106 Code: mathrepo.mis.mpg.de
Preprint
2020 Repository Open Access
Joscha Diehl, Terry Lyons, Rosa Preiß and Jeremy Reizenstein

Areas of areas generate the shuffle algebra

BibTex ArXiv: 2002.02338
inJournal
2020 Journal Open Access
Frank Röttger

Asymptotics of a locally dependent statistic on finite reflection groups

In: The electronic journal of combinatorics, 27 (2020) 2, P2.24
BibTex DOI: 10.37236/9454 ArXiv: 1812.00372
inJournal
2020 Journal Open Access
Mateusz Michałek

Book review: 'Geometry and complexity theory', by J. M. Landsberg, Cambridge University Press, 2017

In: Bulletin of the American Mathematical Society, 57 (2020) 2, pp. 317-324
BibTex DOI: 10.1090/bull/1661
inJournal
2020 Journal Open Access
Bernd Sturmfels, Caroline Uhler and Piotr Zwiernik

Brownian motion tree models are toric

In: Kybernetika, 56 (2020) 6, pp. 1154-1175
BibTex DOI: 10.14736/kyb-2020-6-1154 ArXiv: 1902.09905 MiS Preprint
Preprint
2020 Repository Open Access
Noémie Combe

Čech cover of the complement of the discriminant variety II : deformations of Gauss-skizze

BibTex ArXiv: 2007.01604
inJournal
2020 Repository Open Access
Andrei Agrachev, Khazhgali Kozhasov and André Uschmajew

Chebyshev polynomials and best rank-one approximation ratio

In: SIAM journal on matrix analysis and applications, 41 (2020) 1, pp. 308-331
BibTex DOI: 10.1137/19M1269713 ArXiv: 1904.00488 MiS Preprint
inJournal
2020 Repository Open Access
Lucia Lopez de Medrano, Felipe Rincon and Kristin Shaw

Chern-Schwartz-MacPherson cycles of matroids

In: Proceedings of the London Mathematical Society, 120 (2020) 1, pp. 1-27
BibTex DOI: 10.1112/plms.12278 ArXiv: 1707.07303 MiS Preprint
inJournal
2020 Repository Open Access
George Drummond, Tara Fife, Kevin Grace and James Oxley

Circuit-difference matroids

In: The electronic journal of combinatorics, 27 (2020) 3, P3.11
BibTex DOI: 10.37236/9314 ArXiv: 2001.08982
inJournal
2020 Repository Open Access
Pietro De Poi, Emilia Mezzetti, Mateusz Michałek, Rosa Maria Miró-Roig and Eran Nevo

Circulant matrices and Galois-Togliatti systems

In: Journal of pure and applied algebra, 224 (2020) 11, p. 106404
BibTex DOI: 10.1016/j.jpaa.2020.106404 ArXiv: 1808.08387 MiS Preprint
inJournal
2020 Repository Open Access
Martin Vodička, Laurent Manivel, Mateusz Michałek, Leonid Monin and Tim Seynnaeve

Complete quadrics and linear spaces of symmetric matrices [In: Lefschetz properties in algebra, geometry and combinatorics ; 27 September - 3 October 2020 ; report no. 31/2020]

In: Oberwolfach reports, 17 (2020) 4, pp. 1577-1579
BibTex DOI: 10.4171/OWR/2020/31 Link: publications.mfo.de
inJournal
2020 Repository Open Access
Yang Qi, Mateusz Michałek and Lek-Heng Lim

Complex best \(r\)-term approximations almost always exist in finite dimensions

In: Applied and computational harmonic analysis, 49 (2020) 1, pp. 180-207
BibTex DOI: 10.1016/j.acha.2018.12.003 ArXiv: 1711.11269 MiS Preprint
inJournal
2020 Journal Open Access
Thomas Markwig and Yue Ren

Computing tropical varieties over fields with valuation

In: Foundations of computational mathematics, 20 (2020) 4, pp. 783-800
BibTex DOI: 10.1007/s10208-019-09430-2 ArXiv: 1612.01762
inJournal
2020 Repository Open Access
Miruna-Stefana Sorea

Constructing separable Arnold snakes of morse polynomials

In: Portugaliae mathematica, 77 (2020) 2, pp. 219-260
BibTex DOI: 10.4171/PM/2050 ArXiv: 1904.04904 MiS Preprint
inJournal
2020 Journal Open Access
Nidhi Kaihnsa, Yue Ren, Mohab Safey El Din and Johannes W. R. Martini

Cooperativity, absolute interaction, and algebraic optimization

In: Journal of mathematical biology, 81 (2020) 4/5, pp. 1169-1191
BibTex DOI: 10.1007/s00285-020-01540-8 ArXiv: 1906.10006 MiS Preprint
inJournal
2020 Journal Open Access
Papri Dey, Paul Görlach and Nidhi Kaihnsa

Coordinate-wise powers of algebraic varieties

In: Beiträge zur Algebra und Geometrie, 61 (2020) 3, pp. 473-505
BibTex DOI: 10.1007/s13366-019-00481-8 ArXiv: 1807.03295 MiS Preprint
inJournal
2020 Journal Open Access
Hanieh Keneshlou

Cubic surfaces on the singular locus of the Eckardt hypersurface

In: Le Matematiche, 75 (2020) 2, pp. 507-516
BibTex DOI: 10.4418/2020.75.2.7 ArXiv: 1909.05554
inJournal
2020 Repository Open Access
Laurent Busé, Yairon Cid-Ruiz and Carlos D'Andrea

Degree and birationality of multi-graded rational maps

In: Proceedings of the London Mathematical Society, 121 (2020) 4, pp. 743-787
BibTex DOI: 10.1112/plms.12336 ArXiv: 1805.05180v3 MiS Preprint
inJournal
2020 Journal Open Access
Dominic Bunnett and Hanieh Keneshlou

Determinantal representations of the cubic discriminant

In: Le Matematiche, 75 (2020) 2, pp. 489-505
BibTex DOI: 10.4418/2020.75.2.6 ArXiv: 1909.05579
inJournal
2020 Repository Open Access
Irina A. Kogan, Michael Ruddy and Cynthia Vinzant

Differential signatures of algebraic curves

In: SIAM journal on applied algebra and geometry, 4 (2020) 1, pp. 185-226
BibTex DOI: 10.1137/19M1242859 ArXiv: 1812.11388
inJournal
2020 Repository Open Access
Milena Wrobel

Divisor class groups of rational trinomial varieties

In: Journal of algebra, 542 (2020), pp. 43-64
BibTex DOI: 10.1016/j.jalgebra.2019.09.021 ArXiv: 1806.08410 MiS Preprint
Preprint
2020 Repository Open Access
Alexander Heaton and Jose Alejandro Samper

Dual matroid polytopes and internal activity of independence complexes

BibTex ArXiv: 2005.04252
inJournal
2020 Repository Open Access
André Uschmajew, Markus Bachmayr, Henrik Eisenmann and Emil Kieri

Dynamical low-rank approximation for parabolic problems [In: Mini-workshop : computational optimization on manifolds ; 15 November - 21 November 2020 ; report no. 36/2020]

In: Oberwolfach reports, 17 (2020) 4, pp. 1800-1802
BibTex DOI: 10.4171/OWR/2020/36 Link: publications.mfo.de
inJournal
2020 Repository Open Access
Christiane Görgen and Eliana Duarte

Equations defining probability tree models

In: Journal of symbolic computation, 99 (2020), pp. 127-146
BibTex DOI: 10.1016/j.jsc.2019.04.001 ArXiv: 1802.04511 MiS Preprint
inJournal
2020 Repository Open Access
Bernd Sturmfels, Sascha Timme and Piotr Zwiernik

Estimating linear covariance models with numerical nonlinear algebra

In: Algebraic statistics, 11 (2020) 1, pp. 31-52
BibTex DOI: 10.2140/astat.2020.11.31 ArXiv: 1909.00566
inJournal
2020 Journal Open Access
Michael F. Adamer and Martin Helmer

Families of toric chemical reaction networks

In: Journal of mathematical chemistry, 58 (2020) 9, pp. 2061-2093
BibTex DOI: 10.1007/s10910-020-01162-x ArXiv: 1906.03931
inJournal
2020 Journal Open Access
Xue Liu

Flip-connectivity of triangulations of the product of a tetrahedron and simplex

In: Discrete and computational geometry, 63 (2020) 1, pp. 1-30
BibTex DOI: 10.1007/s00454-019-00157-z ArXiv: 1601.06031
Preprint
2020 Repository Open Access
Michael Joswig, Marek Kaluba and Lukas Ruff

Geometric disentanglement by random convex polytopes

BibTex ArXiv: 2009.13987
inBook
2020 Journal Open Access
André Uschmajew and Bart Vandereycken

Geometric methods on low-rank matrix and tensor manifolds

In: Handbook of variational methods for nonlinear geometric data / Philipp Grohs... (eds.)
Cham : Springer, 2020. - pp. 261-313
BibTex DOI: 10.1007/978-3-030-31351-7_9
inJournal
2020
Thomas Kahle, Frank Röttger and Rainer Schwabe

Geometrie optimaler Versuchspläne

In: Mitteilungen der Deutschen Mathematiker-Vereinigung, 28 (2020) 2, pp. 71-76
BibTex DOI: 10.1515/dmvm-2020-0025
inJournal
2020 Journal Open Access
Federico Castillo, Jeremy Martin and Jose Alejandro Samper

Hopf monoids of ordered simplicial complexes

In: Séminaire lotharingien de combinatoire, 84B (2020), p. 73
BibTex ArXiv: 2004.07308 Link: www.emis.de
inJournal
2020 Repository Open Access
Eliana Duarte and Alexandra Seceleanu

Implicitization of tensor product surfaces via virtual projective resolutions

In: Mathematics of computation, 89 (2020) 326, pp. 3023-3056
BibTex DOI: 10.1090/mcom/3548 ArXiv: 1908.02086 MiS Preprint
inJournal
2020 Repository Open Access
András Christian Lőrincz and Claudiu Raiccu

Iterated local cohomology groups and Lyubeznik numbers for determinantal rings

In: Algebra and number theory, 14 (2020) 9, pp. 2533-2569
BibTex DOI: 10.2140/ant.2020.14.2533 ArXiv: 1805.08895
inJournal
2020 Repository Open Access
Nathan Ilten and Milena Wrobel

Khovanskii-Finite valuations, rational curves, and torus actions

In: Journal of combinatorial algebra, 4 (2020) 2, pp. 141-166
BibTex DOI: 10.4171/JCA/41 ArXiv: 1807.08780 MiS Preprint
Book
2020
Anna M. Bigatti, Jacques Carette, James Davenport, Michael Joswig and Timo de Wolff (Eds.)

Mathematical software ICMS 2020 : 7th international conference, Braunschweig, Germany, July 13-16, 2020, proceedings

Cham : Springer, 2020.
(Lecture Notes in computer science / Theoretical computer science and general issues ; 12097)
ISBN: 978-3-030-52199-8, ISBN: 978-3-030-52200-1, ISSN: 0302-9743
BibTex DOI: 10.1007/978-3-030-52200-1
inJournal
2020 Repository Open Access
Jane Ivy Coons, Orlando Marigliano and Michael Ruddy

Maximum likelihood degree of the two-dimensional linear Gaussian covariance model

In: Algebraic statistics, 11 (2020) 2, pp. 107-123
BibTex DOI: 10.2140/astat.2020.11.107 ArXiv: 1909.04553
inBook
2020
Noémie Combe

Métamorphoses de dessins de polynômes complexes

In: Art et mathématiques : modélisations mathématiques et transformations artistiques des données du réel / Yann Toma... (eds.)
Paris : Editions Jannink, 2020. - pp. 80-87
BibTex
inJournal
2020 Repository Open Access
Raffaella Mulas and Ngoc Mai Tran

Minimal embedding dimensions of connected neural codes

In: Algebraic statistics, 11 (2020) 1, pp. 99-106
BibTex DOI: 10.2140/astat.2020.11.99 ArXiv: 1706.03999
inJournal
2020 Journal Open Access
Christiane Görgen and Manuele Leonelli

Model-preserving sensitivity analysis for families of Gaussian distributions

In: Journal of machine learning research, 21 (2020), p. 84
BibTex ArXiv: 1809.10794 Link: www.jmlr.org
inJournal
2020 Repository Open Access
Kathlén Kohn, Boris Shapiro and Bernd Sturmfels

Moment varieties of measures on polytopes

In: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 21 (2020), pp. 739-770
BibTex DOI: 10.2422/2036-2145.201808_003 ArXiv: 1807.10258 MiS Preprint
inJournal
2020 Repository Open Access
Michael Joswig and Georg Loho

Monomial tropical cones for multicriteria optimization

In: SIAM journal on discrete mathematics, 34 (2020) 2, pp. 1172-1191
BibTex DOI: 10.1137/17M1153066 ArXiv: 1707.09305
Preprint
2020 Repository Open Access
Karim Adiprasito and Xue Liu

Normal crossing immersions, cobordisms and flips

BibTex ArXiv: 2001.01108
inBook
2020 Repository Open Access
Timothy Duff and Michael Ruddy

Numerical equality tests for rational maps and signatures of curves

In: ISSAC '20 proceedings of the 45th international symposium on symbolic and algebraic computation ; Kalamata Greece, July 20-23, 2020
New York : ACM, 2020. - pp. 154-161
BibTex DOI: 10.1145/3373207.3404050 ArXiv: 2005.04783
Preprint
2020 Repository Open Access
Michał Lasoń and Mateusz Michałek

On algebraic properties of matroid polytopes

BibTex ArXiv: 2005.08359
inJournal
2020 Journal Open Access
André Uschmajew and Bart Vandereycken

On critical points of quadratic low-rank matrix optimization problems

In: IMA journal of numerical analysis, 40 (2020) 4, pp. 2626-2651
BibTex DOI: 10.1093/imanum/drz061 MiS Preprint
inJournal
2020 Repository Open Access
Paul Breiding and Nick Vannieuwenhoven

On the average condition number of tensor rank decompositions

In: IMA journal of numerical analysis, 40 (2020) 3, pp. 1908-1936
BibTex DOI: 10.1093/imanum/drz026 ArXiv: 1801.01673 MiS Preprint
inJournal
2020 Journal Open Access
Türkü Özlüm Celik, Francesco Galuppi, Avinash Kulkarni and Miruna-Stefana Sorea

On the eigenpoints of cubic surfaces

In: Le Matematiche, 75 (2020) 2, pp. 611-625
BibTex DOI: 10.4418/2020.75.2.13 ArXiv: 1909.06261
Preprint
2020 Repository Open Access
Marvin Anas Hahn

One-parameter families of multiview varieties via quotient lattices

BibTex ArXiv: 2010.06023
inBook
2020 Repository Open Access
Türkü Özlüm Celik, Asgar Jamneshan, Guido Montúfar, Bernd Sturmfels and Lorenzo Venturello

Optimal transport to a variety

In: Mathematical aspects of computer and information sciences : 8th international conference, MACIS 2019, Gebze-Istanbul, Turkey, November 13-15, 2019 ; revised selected papers / Daniel Slamanig... (eds.)
Cham : Springer, 2020. - pp. 364-381
(Lecture notes in computer science ; 11989)
BibTex DOI: 10.1007/978-3-030-43120-4_29 ArXiv: 1909.11716 MiS Preprint
inJournal
2020 Repository Open Access
Ulrike Grasshoff, Heinz Holling, Frank Röttger and Rainer Schwabe

Optimality regions for designs in multiple linear regression models with correlated random coefficients

In: Journal of statistical planning and inference, 209 (2020), pp. 267-279
BibTex DOI: 10.1016/j.jspi.2020.04.004 ArXiv: 1911.05538
inBook
2020 Repository Open Access
Timothy Duff, Kathlén Kohn, Anton Leykin and Tomas Pajdla

PL\(_{1}\)P - point-line minimal problems under partial visibility in three views

In: Computer vision - ECCV 2020 ; 16th european conference, Glasgow, UK, August 23-28, 2020 ; proceedings, Part XXVI / Andrea Vedaldi... (eds.)
Cham : Springer, 2020. - pp. 175-192
(Lecture notes in computer science ; 12371)
BibTex DOI: 10.1007/978-3-030-58574-7_11 ArXiv: 2003.05015
Academic
2020 Repository Open Access
Paul Görlach

Projective geometry, toric algebra and tropical computations

Dissertation, Universität Leipzig, 2020
BibTex Link: nbn-resolving.org
inJournal
2020 Repository Open Access
Nils Bruin and Emre Can Sertöz

Prym varieties of genus four curves

In: Transactions of the American Mathematical Society, 373 (2020) 1, pp. 149-183
BibTex DOI: 10.1090/tran/7902 ArXiv: 1808.07881 MiS Preprint
inJournal
2020 Repository Open Access
Jose Alejandro Samper

Quasi-matroidal classes of ordered simplicial complexes

In: Journal of combinatorial theory / A, 175 (2020), p. 105274
BibTex DOI: 10.1016/j.jcta.2020.105274 ArXiv: 1608.04025
inJournal
2020 Repository Open Access
Paul Breiding and Orlando Marigliano

Random points on an algebraic manifold

In: SIAM journal on mathematics of data science, 2 (2020) 3, pp. 683-704
BibTex DOI: 10.1137/19M1271178 ArXiv: 1810.06271 MiS Preprint
inBook
2020 Repository Open Access
Michael Joswig and Paul Vater

Real tropical hyperfaces by patchworking in \(\texttt{polymake}\)

In: Mathematical software ICMS 2020 : 7th international conference, Braunschweig, Germany, July 13-16, 2020, proceedings / Anna M. Bigatti... (eds.)
Cham : Springer, 2020. - pp. 202-211
(Lecture notes in computer science ; 12097)
BibTex DOI: 10.1007/978-3-030-52200-1_20 ArXiv: 2003.06326
inJournal
2020 Repository Open Access
Geva Yashfe and Lukas Kühne

Representability of c-arrangements [In: Discrete geometry ; 20 September - 26 September 2020 ; report no. 30/2020]

In: Oberwolfach reports, 17 (2020) 2/3, pp. 1516-1517
BibTex DOI: 10.4171/OWR/2020/30 Link: publications.mfo.de
inJournal
2020 Repository Open Access
Muhammad Azeem Khadam, Mateusz Michałek and Piotr Zwiernik

Secant varieties of toric varieties arising from simplicial complexes

In: Linear algebra and its applications, 588 (2020), pp. 428-457
BibTex DOI: 10.1016/j.laa.2019.12.008 ArXiv: 1908.09671 MiS Preprint
inJournal
2020 Repository Open Access
Laura Colmenarejo and Rosa Preiß

Signatures of paths transformed by polynomial maps

In: Beiträge zur Algebra und Geometrie, 61 (2020) 4, pp. 695-717
BibTex DOI: 10.1007/s13366-020-00493-9 ArXiv: 1812.05962
inJournal
2020 Journal Open Access
Diego Cifuentes, Thomas Kahle and Pablo A. Parrilo

Sums of squares in Macaulay2

In: Journal of software for algebra and geometry, 10 (2020) 1, pp. 17-24
BibTex DOI: 10.2140/jsag.2020.10.17 ArXiv: 1812.05475
inBook
2020 Repository Open Access
Bernd Sturmfels, Emmanuel Tsukerman and Lauren Williams

Symmetric matrices, Catalan paths, and correlations

In: Proceedings of the 28th international conference on formal power series and algebraic combinatorics, FPSAC 2016, Vancouver, Canada, July 4-8, 2016
Nancy, France : Discrete Mathematics & Theoretical Computer Science (DMTCS), 2020. - pp. 1135-1146
(DMTCS proceedings)
BibTex ArXiv: 1511.04125 Link: dmtcs.episciences.org
inJournal
2020 Repository Open Access
Anh-Huy Phan, Andrzej Cichocki, André Uschmajew, Petr Tichavsky, George Luta and Danilo Mandic

Tensor networks for latent variable analysis : novel algorithms for tensor train approximation

In: IEEE transactions on neural networks and learning systems, 31 (2020) 11, pp. 4622-4636
BibTex DOI: 10.1109/TNNLS.2019.2956926 ArXiv: 1609.09230
inJournal
2020 Repository Open Access
Papri Dey and Daniel Plaumann

Testing hyperbolicity of real polynomials

In: Mathematics in computer science, 14 (2020) 1, pp. 111-121
BibTex DOI: 10.1007/s11786-019-00449-w ArXiv: 1810.04055
Academic
2020 Repository Open Access
Orlando Marigliano

The algebraic statistics of sampling, likelihood, and regression

Dissertation, Universität Leipzig, 2020
BibTex Link: nbn-resolving.org
Preprint
2020 Repository Open Access
Mateusz Michałek, Leonid Monin and Jarosław Wiśniewski

The Gaussian moduli [Supplementary resources to 'Maximum likelihood degree, complete quadrics and C*-action']

BibTex ArXiv: 2004.07735 Code: mathrepo.mis.mpg.de
inJournal
2020 Journal Open Access
Diego Cifuentes, Corey Harris and Bernd Sturmfels

The geometry of SDP-exactness in quadratic optimization

In: Mathematical programming, 182 (2020) 1/2, pp. 399-428
BibTex DOI: 10.1007/s10107-019-01399-8 ArXiv: 1804.01796 MiS Preprint
inJournal
2020 Journal Open Access
Rodica Dinu and Tim Seynnaeve

The Hessian discriminant

In: Le Matematiche, 75 (2020) 2, pp. 595-610
BibTex DOI: 10.4418/2020.75.2.12 ArXiv: 1909.06681 MiS Preprint Code: mathrepo.mis.mpg.de
inJournal
2020 Journal Open Access
Carlos Beltrán and Khazhgali Kozhasov

The real polynomial eigenvalue problem is well conditioned on the average

In: Foundations of computational mathematics, 20 (2020) 2, pp. 291-309
BibTex DOI: 10.1007/s10208-019-09414-2 ArXiv: 1802.07493
inJournal
2020 Journal Open Access
Michael Joswig, Marta Panizzut and Bernd Sturmfels

The Schläfli fan

In: Discrete and computational geometry, 64 (2020) 2, pp. 355-381
BibTex DOI: 10.1007/s00454-020-00215-x ArXiv: 1905.11951 MiS Preprint
inJournal
2020 Repository Open Access
Mario Kummer and Kristin Shaw

The separating semigroup of a real curve

In: Annales de la Faculté des Sciences de Toulouse, 29 (2020) 1, pp. 79-96
BibTex DOI: 10.5802/afst.1624 ArXiv: 1707.08227 MiS Preprint
Preprint
2020 Repository Open Access
Gheorghe Craciun and Miruna-Stefana Sorea

The structure of the moduli spaces of toric dynamical systems

BibTex ArXiv: 2008.11468
inJournal
2020 Repository Open Access
Lukas Kühne

The universality of the resonance arrangement [In: Discrete geometry ; 20 September - 26 September 2020 ; report no. 30/2020]

In: Oberwolfach reports, 17 (2020) 2/3, pp. 1489-1491
BibTex DOI: 10.4171/OWR/2020/30 Link: publications.mfo.de
inJournal
2020 Repository Open Access
Lara Bossinger, Bosco Frías-Medina, Timothy Magee and Alfredo Nájera Chávez

Toric degenerations of cluster varieties and cluster duality

In: Compositio mathematica, 156 (2020) 10, pp. 2149-2206
BibTex DOI: 10.1112/S0010437X2000740X ArXiv: 1809.08369 MiS Preprint
inJournal
2020 Repository Open Access
Laura Colmenarejo, Francesco Galuppi and Mateusz Michałek

Toric geometry of path signature varieties

In: Advances in applied mathematics, 121 (2020), p. 102102
BibTex DOI: 10.1016/j.aam.2020.102102 ArXiv: 1903.03779 MiS Preprint
inJournal
2020 Journal Open Access
Maria Donten-Bury, Paul Görlach and Milena Wrobel

Towards classifying toric degenerations of cubic surfaces

In: Le Matematiche, 75 (2020) 2, pp. 537-557
BibTex DOI: 10.4418/2020.75.2.9 ArXiv: 1909.06690 MiS Preprint Code: mathrepo.mis.mpg.de
inJournal
2020 Repository Open Access
Madeline Brandt and Paul Alexander Helminck

Tropical superelliptic curves

In: Advances in geometry, 20 (2020) 4, pp. 527-551
BibTex DOI: 10.1515/advgeom-2020-0014 ArXiv: 1709.05761
inJournal
2020 Journal Open Access
Kristian Ranestad and Bernd Sturmfels

Twenty-seven questions about the cubic surface

In: Le Matematiche, 75 (2020) 2, pp. 411-424
BibTex DOI: 10.4418/2020.75.2.1 ArXiv: 1912.07347
inJournal
2020 Repository Open Access
Daniel Irving Bernstein, Grigoriy Blekherman and Rainer Sinn

Typical and generic ranks in matrix completion

In: Linear algebra and its applications, 585 (2020), pp. 71-104
BibTex DOI: 10.1016/j.laa.2019.09.001 ArXiv: 1802.09513
inJournal
2020 Journal Open Access
Hang Huang, Mateusz Michałek and Emanuele Ventura

Vanishing Hessian, wild forms and their border VSP

In: Mathematische Annalen, 378 (2020) 3/4, pp. 1505-1532
BibTex DOI: 10.1007/s00208-020-02080-8 ArXiv: 1912.13174 MiS Preprint
inJournal
2020 Repository Open Access
Federico Castillo, Yairon Cid-Ruiz, Binglin Li, Jonathan Montaño and Naizhen Zhang

When are multidegrees positive?

In: Advances in mathematics, 374 (2020), p. 107382
BibTex DOI: 10.1016/j.aim.2020.107382 ArXiv: 2005.07808 MiS Preprint
inJournal
2019 Repository Open Access
Seyedehsomayeh Hosseini and André Uschmajew

A gradient sampling method on algebraic varieties and application to nonsmooth low-rank optimization

In: SIAM journal on optimization, 29 (2019) 4, pp. 2853-2880
BibTex DOI: 10.1137/17M1153571
inJournal
2019 Repository Open Access
Sara Kališnik Verovšek, Vitaliy Kurlin and Davorin Lešnik

A higher-dimensional homologically persistent skeleton

In: Advances in applied mathematics, 102 (2019), pp. 113-142
BibTex DOI: 10.1016/j.aam.2018.07.004 ArXiv: 1701.08395 MiS Preprint
inJournal
2019 Journal Open Access
Pierre Lairez and Emre Can Sertöz

A numerical transcendental method in algebraic geometry : computation of Picard groups and related invariants

In: SIAM journal on applied algebra and geometry, 3 (2019) 4, pp. 559-584
BibTex DOI: 10.1137/18M122861X ArXiv: 1811.10634 MiS Preprint Link: hal.archives-ouvertes.fr
inJournal
2019 Journal Open Access
Yvain Bruned, Ilya Chevyrev, Peter K. Friz and Rosa Preiß

A rough path perspective on renormalization

In: Journal of functional analysis, 277 (2019) 11, p. 108283
BibTex DOI: 10.1016/j.jfa.2019.108283 ArXiv: 1701.01152
inJournal
2019 Journal Open Access
Mateusz Michałek, Tim Seynnaeve and Frank Verstraete

A tensor version of the quantum Wielandt theorem

In: SIAM journal on matrix analysis and applications, 40 (2019) 3, pp. 1125-1130
BibTex DOI: 10.1137/18M1227664 ArXiv: 1811.05502 MiS Preprint
inJournal
2019 Journal Open Access
Martin Vodička and Pavol Zlatoš

A uniform stability principle for dual lattices

In: Journal of logic and analysis, 11 (2019), p. 2
BibTex ArXiv: 1701.02548 Link: logicandanalysis.org
inJournal
2019 Journal Open Access
Bernd Sturmfels

Adventures in mentoring

In: Notices of the American Mathematical Society, 66 (2019) 8, pp. 1300-1302
BibTex Link: www.ams.org
Academic
2019 Repository Open Access
Nidhi Kaihnsa

Algebraic methods for dynamical systems and optimisation

Dissertation, Universität Leipzig, 2019
BibTex Link: nbn-resolving.org
inJournal
2019 Repository Open Access
Akihiro Higashitani, Katharina Jochemko and Mateusz Michałek

Arithmetic aspects of symmetric edge polytopes

In: Mathematika : a journal of pure and applied mathematics, 65 (2019) 3, pp. 763-784
BibTex DOI: 10.1112/S0025579319000147 ArXiv: 1807.07678 MiS Preprint
inJournal
2019 Repository Open Access
Lorenzo Venturello and Martina Juhnke-Kubitzke

Balanced non-partitionable and non-shellable complexes [In: Geometric, algebraic, and topological combinatorics ; 25 August - 31 August 2019 ; report no. 39/2019]

In: Oberwolfach reports, 16 (2019) 3, pp. 2412-2413
BibTex DOI: 10.4171/OWR/2019/39 Link: publications.mfo.de
inJournal
2019 Repository Open Access
Mateusz Michałek

Can local cohomology prevent injections? [In: Singularities and homological aspects of commutative algebra ; 10 February - 16 February 2019 ; report no. 6/2019]

In: Oberwolfach reports, 16 (2019) 1, pp. 443-445
BibTex DOI: 10.4171/OWR/2019/6 Link: publications.mfo.de
inJournal
2019 Repository Open Access
Alana Huszar, Steffen Marcus and Martin Ulirsch

Clutching and gluing in tropical and logarithmic geometry

In: Journal of pure and applied algebra, 223 (2019) 5, pp. 2036-2061
BibTex DOI: 10.1016/j.jpaa.2018.08.014 ArXiv: 1706.07554 MiS Preprint
inJournal
2019 Repository Open Access
Francesco Galuppi

Collisions of fat points and applications to interpolation theory

In: Journal of algebra, 534 (2019), pp. 100-128
BibTex DOI: 10.1016/j.jalgebra.2019.06.008 ArXiv: 1803.02746
inJournal
2019 Journal Open Access
Daniel Ciripoi, Nidhi Kaihnsa, Andreas Löhne and Bernd Sturmfels

Computing convex hulls of trajectories

In: Revista de la Union Matemática Argentina, 60 (2019) 2, pp. 637-662
BibTex DOI: 10.33044/revuma.v60n2a22 ArXiv: 1810.03547 MiS Preprint
inJournal
2019 Journal Open Access
Corey Harris, Mateusz Michałek and Emre Can Sertöz

Computing images of polynomial maps

In: Advances in computational mathematics, 45 (2019) 5/6, pp. 2845-2865
BibTex DOI: 10.1007/s10444-019-09715-8 ArXiv: 1801.00827 MiS Preprint
inJournal
2019 Repository Open Access
Emre Can Sertöz

Computing periods of hypersurfaces

In: Mathematics of computation, 88 (2019) 320, pp. 2987-3022
BibTex DOI: 10.1090/mcom/3430 ArXiv: 1803.08068 MiS Preprint
inJournal
2019 Repository Open Access
Yue Ren

Computing zero-dimensional tropical varieties [In: Tropical geometry : new directions ; 22 September - 28 September 2019 ; report no. 21/2019]

In: Oberwolfach reports, 16 (2019) 2, pp. 1276-1277
BibTex DOI: 10.4171/OWR/2019/21 Link: publications.mfo.de
inJournal
2019 Journal Open Access
Max Pfeffer, André Uschmajew, Adriana Amaro and Ulrich Pfeffer

Data fusion techniques for the integration of multi-domain genomic data from uveal melanoma

In: Cancers, 11 (2019) 10, p. 1434
BibTex DOI: 10.3390/cancers11101434 MiS Preprint
inJournal
2019 Journal Open Access
Yue Ren, Johannes W. R. Martini and Jacinta Torres

Decoupled molecules with binding polynomials of bidegree \((n,2)\)

In: Journal of mathematical biology, 78 (2019) 4, pp. 879-898
BibTex DOI: 10.1007/s00285-018-1295-x ArXiv: 1711.06865 MiS Preprint Code: mathrepo.mis.mpg.de
inJournal
2019 Repository Open Access
Daniele Agostini and Carlos Améndola

Discrete Gaussian distributions via theta functions

In: SIAM journal on applied algebra and geometry, 3 (2019) 1, pp. 1-30
BibTex DOI: 10.1137/18M1164937 ArXiv: 1801.02373
inJournal
2019 Repository Open Access
Alberto Castano Dominguez, Thomas Reichelt and Christian Sevenheck

Examples of hypergeometric twistor \(D\)-modules

In: Algebra and number theory, 13 (2019) 6, pp. 1415-1442
BibTex DOI: 10.2140/ant.2019.13.1415 ArXiv: 1803.04886
inJournal
2019 Repository Open Access
Elina Robeva, Bernd Sturmfels and Caroline Uhler

Geometry of log-concave density estimation

In: Discrete and computational geometry, 61 (2019) 1, pp. 136-160
BibTex DOI: 10.1007/s00454-018-0024-y ArXiv: 1704.01910 MiS Preprint
inJournal
2019 Repository Open Access
Paul Breiding

How many eigenvalues of a random symmetric rensor are real?

In: Transactions of the American Mathematical Society, 372 (2019) 11, pp. 7857-7887
BibTex DOI: 10.1090/tran/7910 ArXiv: 1701.07312
Preprint
2019 Repository Open Access
Paul Görlach

Injection dimensions of projective varieties

BibTex ArXiv: 1905.11306 MiS Preprint
inJournal
2019 Journal Open Access
Joscha Diehl and Jeremy Reizenstein

Invariants of multidimensional time series based on their iterated-integral signature

In: Acta applicandae mathematicae, 164 (2019) 1, pp. 83-122
BibTex DOI: 10.1007/s10440-018-00227-z ArXiv: 1801.06104
inJournal
2019 Repository Open Access
Max Pfeffer, Anna Seigal and Bernd Sturmfels

Learning paths from signature tensors

In: SIAM journal on matrix analysis and applications, 40 (2019) 2, pp. 394-416
BibTex DOI: 10.1137/18M1212331 ArXiv: 1809.01588 MiS Preprint
inJournal
2019 Repository Open Access
Erwan Brugallé, Grigory Mikhalkin, Jean-Jacques Risler and Kristin Shaw

Nonexistence of torically maximal hypersurfaces

In: St. Petersburg mathematical journal, 30 (2019) 1, pp. 15-23
BibTex DOI: 10.1090/spmj/1528 ArXiv: 1506.02813
Preprint
2019 Repository Open Access
Alexander Heaton

Nonlinear algebra via tensegrity structures

BibTex ArXiv: 1908.08392 MiS Preprint
Book
2019
Seyedehsomayeh Hosseini, Boris S. Mordukhovich and André Uschmajew (Eds.)

Nonsmooth optimization and its applications : based on the workshop 'Nonsmooth optimization and its Applications', Bonn, Germany, May 15-19, 2017

Cham : Springer Birkhäuser, 2019. - vii, 149
(International series of numerical mathematics ; 170)
ISBN: 978-3-030-11369-8, ISBN: 978-3-030-11370-4, ISSN: 0373-3149
BibTex DOI: 10.1007/978-3-030-11370-4
inJournal
2019 Repository Open Access
Emil Horobet and Madeleine Weinstein

Offset hypersurfaces and persistent homology of algebraic varieties

In: Computer aided geometric design, 74 (2019), p. 101767
BibTex DOI: 10.1016/j.cagd.2019.101767 ArXiv: 1803.07281 MiS Preprint
inJournal
2019 Repository Open Access
Mario Kummer

On the connectivity of the hyperbolicity region of irreducible polynomials

In: Advances in geometry, 19 (2019) 2, pp. 231-233
BibTex DOI: 10.1515/advgeom-2017-0055 ArXiv: 1704.04388 MiS Preprint
inJournal
2019 Repository Open Access
Carlos Beltrán, Paul Breiding and Nick Vannieuwenhoven

Pencil-based algorithms for tensor rank decomposition are not stable

In: SIAM journal on matrix analysis and applications, 40 (2019) 2, pp. 739-773
BibTex DOI: 10.1137/18M1200531 ArXiv: 1807.04159 MiS Preprint
inJournal
2019 Repository Open Access
Mateusz Michałek and Emanuele Ventura

Phylogenetic complexity of the Kimura 3-parameter model

In: Advances in mathematics, 343 (2019), pp. 640-680
BibTex DOI: 10.1016/j.aim.2018.11.021 ArXiv: 1704.02584 MiS Preprint
inJournal
2019 Repository Open Access
Christoph Hanselka and Rainer Sinn

Positive semidefinite univariate matrix polynomials

In: Mathematische Zeitschrift, 292 (2019) 1-2, pp. 83-101
BibTex DOI: 10.1007/s00209-018-2137-7 ArXiv: 1707.08261 MiS Preprint
inJournal
2019 Repository Open Access
Mateusz Michałek and Yaroslav Shitov

Quantum version of Wielandt's inequality revisited

In: IEEE transactions on information theory, 65 (2019) 8, pp. 5239-5242
BibTex DOI: 10.1109/TIT.2019.2897772 ArXiv: 1809.04387 MiS Preprint
inJournal
2019 Repository Open Access
Paul Breiding, Khazhgali Kozhasov and Antonio Lerario

Random spectrahedra

In: SIAM journal on optimization, 29 (2019) 4, pp. 2608-2624
BibTex DOI: 10.1137/18M1208812 ArXiv: 1711.08253 MiS Preprint
inJournal
2019 Repository Open Access
Paul Görlach, Evelyne Hubert and Théo Papadopoulo

Rational invariants of even ternary forms under the orthogonal group

In: Foundations of computational mathematics, 19 (2019) 6, pp. 1315-1361
BibTex DOI: 10.1007/s10208-018-9404-1 ArXiv: 1707.09979 MiS Preprint
inJournal
2019 Repository Open Access
Emanuele Ventura

Real rank boundaries and loci of forms

In: Linear and multilinear algebra, 67 (2019) 7, pp. 1404-1419
BibTex DOI: 10.1080/03081087.2018.1454395 ArXiv: 1708.03078
inJournal
2019 Repository Open Access
Lynn Chua, Mario Kummer and Bernd Sturmfels

Schottky algorithms : classical meets tropical

In: Mathematics of computation, 88 (2019) 319, pp. 2541-2558
BibTex DOI: 10.1090/mcom/3406 ArXiv: 1707.08520 MiS Preprint
inJournal
2019 Journal Open Access
Karim Adiprasito, Xue Liu and Michael Temkin

Semistable reduction in characteristic 0

In: Séminaire lotharingien de combinatoire, 82B (2019), p. 25
BibTex ArXiv: 1810.03131 Link: www.emis.de
inJournal
2019 Repository Open Access
Xue Liu, Karim Adiprasito and Michael Temkin

Semistable reduction in characteristic zero [In: Geometric, algebraic, and topological combinatorics ; 25 August - 31 August 2019 ; report no. 39/2019]

In: Oberwolfach reports, 16 (2019) 3, pp. 2441-2442
BibTex DOI: 10.4171/OWR/2019/39 Link: publications.mfo.de
inJournal
2019 Repository Open Access
Nidhi Kaihnsa, Mario Kummer, Daniel Plaumann, Mahsa Sayyary Namin and Bernd Sturmfels

Sixty-four curves of degree six

In: Experimental mathematics, 28 (2019) 2, pp. 132-150
BibTex DOI: 10.1080/10586458.2017.1360808 ArXiv: 1703.01660 MiS Preprint Code: mathrepo.mis.mpg.de
inJournal
2019 Repository Open Access
Matthias Beck, Christian Haase, Akihiro Higashitani, Johannes Hofscheier, Katharina Jochemko, Lukas Katthän and Mateusz Michałek

Smooth centrally symmetric polytopes in dimension 3 are IDP

In: Annals of combinatorics, 23 (2019) 2, pp. 255-262
BibTex DOI: 10.1007/s00026-019-00418-x ArXiv: 1802.01046 MiS Preprint
Preprint
2019 Repository Open Access
Yassine El Maazouz and Ngoc Mai Tran

Statistics of Gaussians on local fields and their tropicalizations

BibTex ArXiv: 1909.00559
inJournal
2019 Repository Open Access
Mateusz Michałek, Akihiro Higashitani, Katharina Jochemko, Mario Kummer, Alessio D'Alì and Emanuele Delucchi

Symmetric edge polytopes [In: Toric geometry ; 22 September - 28 September 2019 ; report no. 43/2019]

In: Oberwolfach reports, 16 (2019) 3, pp. 2710-2711
BibTex DOI: 10.4171/OWR/2019/43 Link: publications.mfo.de
inJournal
2019 Repository Open Access
Sara Kališnik Verovšek and Davorin Lešnik

Symmetric polynomials in tropical algebra semirings

In: Journal of symbolic computation, 93 (2019), pp. 100-119
BibTex DOI: 10.1016/j.jsc.2018.04.008 ArXiv: 1607.00245
inBook
2019 Repository Open Access
Seyedehsomayeh Hosseini, D. Russell Luke and André Uschmajew

Tangent and normal cones for low-rank matrices

In: Nonsmooth optimization and its applications : based on the workshop 'Nonsmooth optimization and its Applications', Bonn, Germany, May 15-19, 2017 / Seyedehsomayeh Hosseini... (eds.)
Cham : Springer Birkhäuser, 2019. - pp. 45-53
(International series of numerical mathematics ; 170)
BibTex DOI: 10.1007/978-3-030-11370-4_3 Link: neitzel.ins.uni-bonn.de
Preprint
2019 Repository Open Access
Jane Ivy Coons and Seth Sullivant

The \(\mathscr h^*\)-polynomial of the order polytope of the zig-zag poset

BibTex ArXiv: 1901.07443 MiS Preprint
inJournal
2019 Repository Open Access
Mario Kummer and Cynthia Vinzant

The Chow form of a reciprocal linear space

In: The Michigan mathematical journal, 68 (2019) 4, pp. 831-858
BibTex DOI: 10.1307/mmj/1571731287 ArXiv: 1610.04584
inJournal
2019 Journal Open Access
Martin Vodička and Pavol Zlatoš

The finite embeddability property for IP loops and local embeddability of groups into finite IP loops

In: Ars mathematica contemporanea, 17 (2019) 2, pp. 535-554
BibTex DOI: 10.26493/1855-3974.1884.5cb ArXiv: 1810.07575
inJournal
2019 Repository Open Access
Tobias Boege, Alessio D'Alì, Thomas Kahle and Bernd Sturmfels

The geometry of Gaussoids

In: Foundations of computational mathematics, 19 (2019) 4, pp. 775-812
BibTex DOI: 10.1007/s10208-018-9396-x ArXiv: 1710.07175 MiS Preprint
inJournal
2019 Journal Open Access
Anders Jensen, Yue Ren and Hans Schönemann

The gfanlib interface in Singular and its applications

In: Journal of software for algebra and geometry, 9 (2019) 1, pp. 81-87
BibTex DOI: 10.2140/jsag.2019.9.81
inJournal
2019 Repository Open Access
Jose Alejandro Samper, Federico Castillo and Jeremy Martin

The Hopf monoid of ordered matroids and shuffles [In: Geometric, algebraic, and topological combinatorics ; 25 August - 31 August 2019 ; report no. 39/2019]

In: Oberwolfach reports, 16 (2019) 3, pp. 2408-2409
BibTex DOI: 10.4171/OWR/2019/39 Link: publications.mfo.de
inJournal
2019 Journal Open Access
Antoine Dahlqvist, Joscha Diehl and Bruce Driver

The parabolic Anderson model on Riemann surfaces

In: Probability theory and related fields, 174 (2019) 1-2, pp. 369-444
BibTex DOI: 10.1007/s00440-018-0857-6 ArXiv: 1702.02965
inJournal
2019 Repository Open Access
Francesco Galuppi

The rough Veronese variety

In: Linear algebra and its applications, 583 (2019), pp. 282-299
BibTex DOI: 10.1016/j.laa.2019.08.029 ArXiv: 1809.02522 MiS Preprint
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2019 Journal Open Access
Madeline Brandt and Amy Wiebe

The slack realization space of a matroid

In: Algebraic combinatorics, 2 (2019) 4, pp. 663-681
BibTex DOI: 10.5802/alco.68 ArXiv: 1804.05264
Preprint
2019 Repository Open Access
Maria Donten-Bury, Paul Görlach and Milena Wrobel

Toric degenerations of cubic surfaces [Supplementary resources to 'Towards classifying toric degenerations of cubic surfaces']

BibTex ArXiv: 1909.06690 Code: mathrepo.mis.mpg.de
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2019 Repository Open Access
Mario Kummer

Totally real theta characteristics

In: Annali di matematica pura ed applicata, 198 (2019) 6, pp. 2141-2150
BibTex DOI: 10.1007/s10231-019-00858-5 ArXiv: 1802.05297
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2019 Repository Open Access
Joseph M. Landsberg and Mateusz Michałek

Towards finding hay in a haystack : explicit tensors of border rank greater than \(2.02m\) in \(C^{m}\otimes C^{m}\otimes C^{m}\)

BibTex ArXiv: 1912.11927 MiS Preprint
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2019 Repository Open Access
Türkü Özlüm Celik, Avinash Kulkarni, Yue Ren and Mahsa Sayyary Namin

Tritangents and their space sextics

In: Journal of algebra, 538 (2019), pp. 290-311
BibTex DOI: 10.1016/j.jalgebra.2019.07.037 ArXiv: 1805.11702 MiS Preprint
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2019 Journal Open Access
Sara Kališnik Verovšek

Tropical coordinates on the space of persistence barcodes

In: Foundations of computational mathematics, 19 (2019) 1, pp. 101-129
BibTex DOI: 10.1007/s10208-018-9379-y ArXiv: 1604.00113
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2019 Repository Open Access
Ruriko Yoshida, Leon Zhang and Xu Zhang

Tropical principal component analysis and its application to phylogenetics

In: Bulletin of mathematical biology, 81 (2019) 2, pp. 568-597
BibTex DOI: 10.1007/s11538-018-0493-4 ArXiv: 1710.02682
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2019 Repository Open Access
Anthea Monod, Sara Kališnik Verovšek, Juan Ángel Patiño-Galindo and Lorin Crawford

Tropical sufficient statistics for persistent homology

In: SIAM journal on applied algebra and geometry, 3 (2019) 2, pp. 337-371
BibTex DOI: 10.1137/17M1148037 ArXiv: 1709.02647 MiS Preprint
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2019 Journal Open Access
Carlos Améndola, Peter K. Friz and Bernd Sturmfels

Varieties of signature tensors

In: Forum of mathematics / Sigma, 7 (2019), e10
BibTex DOI: 10.1017/fms.2019.3 ArXiv: 1804.08325 MiS Preprint
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2019 Journal Open Access
Orlando Marigliano

Verlinde bundles of families of hypersurfaces and their jumping lines

In: Beiträge zur Algebra und Geometrie, 60 (2019) 3, pp. 437-444
BibTex DOI: 10.1007/s13366-018-0423-5 ArXiv: 1804.05710 MiS Preprint
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2019 Repository Open Access
Madeline Brandt and Madeleine Weinstein

Voronoi cells in metric algebraic geometry of plane curves

BibTex ArXiv: 1906.11337 MiS Preprint
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2019 Journal Open Access
Lukas Katthän, Mateusz Michałek and Ezra Miller

When is a polynomial ideal binomial after an ambient automorphism?

In: Foundations of computational mathematics, 19 (2019) 6, pp. 1363-1385
BibTex DOI: 10.1007/s10208-018-9405-0 ArXiv: 1706.03629 MiS Preprint
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2018 Repository Open Access
Paul Breiding and Nick Vannieuwenhoven

A Riemannian trust region method for the canonical tensor rank approximation problem

In: SIAM journal on optimization, 28 (2018) 3, pp. 2435-2465
BibTex DOI: 10.1137/17M114618X ArXiv: 1709.00033
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2018 Journal Open Access
Xue Liu

A zonotope and a product of two simplices with disconnected flip graphs

In: Discrete and computational geometry, 59 (2018) 4, pp. 810-842
BibTex DOI: 10.1007/s00454-018-9971-6 ArXiv: 1605.02366
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2018 Repository Open Access
Carlos Améndola, Kristian Ranestad and Bernd Sturmfels

Algebraic identifiability of Gaussian mixtures

In: International mathematics research notices, 2018 (2018) 21, pp. 6556-6580
BibTex DOI: 10.1093/imrn/rnx090 ArXiv: 1612.01129 MiS Preprint
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2018 Repository Open Access
Ivan V. Oseledets, Maxim Rakhuba and André Uschmajew

Alternating least squares as moving subspace correction

In: SIAM journal on numerical analysis, 56 (2018) 6, pp. 3459-3479
BibTex DOI: 10.1137/17M1148712 ArXiv: 1709.07286
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2018 Repository Open Access
Francesca Arici, Piotr M. Hajac and Mariusz Tobolski

Associated noncommutative vector bundles over the Vaksman-Soibelman quantum complex projective spaces