Search

Login
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
2025 Repository Open Access
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
inJournal
2025 Journal Open Access
Carlos Améndola, Francesco Galuppi, Ángel David Ríos Ortiz, Pierpaola Santarsiero and Tim Seynnaeve

Decomposing tensor spaces via path signatures

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
inJournal
2025 Journal Open Access
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
inJournal
2025 Journal Open Access
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
inJournal
2025 Journal Open Access
Mathias Drton, Benjamin Hollering and Jun Wu

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
inJournal
2025 Repository Open Access
Sebastian Falkensteiner, Alexey Ovchinnikov and Rafael Sendra

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
inJournal
2025 Journal Open Access
Alexandros Grosdos, Alexander Heaton, Kaie Kubjas, Olga Kuznetsova, Georgy Scholten and Miruna-Stefana Sorea

Corrigendum to: 'Exact solutions in log-concave maximum likelihood estimation' [In: Advances in applied mathematics, 143 (2023) 102448]

In: Advances in applied mathematics, 162 (2025), p. 102777

BibTex

 DOI: 10.1016/j.aam.2024.102777 ArXiv: 2003.04840
inJournal
2025 Journal Open Access
Bertrand Teguia Tabuguia

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
Preprint
2024 Repository Open Access
Daniele Agostini, Daniel Plaumann, Rainer Sinn and Jannik Lennart Wesner

Plane quartics and heptagons

BibTex

 ArXiv: 2408.15759
inJournal
2024 Repository Open Access
Daniele Agostini

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

In: Journal of algebraic geometry, (2024)

BibTex

 DOI: 10.1090/jag/819 ArXiv: 2110.03561
inJournal
2024 Repository Open Access
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
inJournal
2024 Repository Open Access
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
inJournal
2024 Repository Open Access
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
inJournal
2024 Repository Open Access
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
inJournal
2024 Journal Open Access
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
inJournal
2024 Repository Open Access
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
inJournal
2024 Journal Open Access
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
inJournal
2024 Repository Open Access
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
inJournal
2024 Repository Open Access
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
Preprint
2024 Repository Open Access
Dario Antolini and Nick Early

The chirotropical Grassmannian

BibTex

 ArXiv: 2411.07293
inJournal
2024 Repository Open Access
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
Preprint
2024 Repository Open Access
Lorenzo Baldi, Teresa Krick and Bernard Mourrain

An effective positivstellensatz over the rational numbers for finite semialgebraic sets

BibTex

 ArXiv: 2410.04845 Link: hal.science
Preprint
2024 Repository Open Access
Lorenzo Baldi, Grigoriy Blekherman and Rainer Sinn

Nonnegative polynomials and moment problems on algebraic curves

BibTex

 ArXiv: 2407.06017
inJournal
2024 Repository Open Access
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
Preprint
2024 Repository Open Access
Zaïneb Bel-Afia, Chiara Meroni and Simon Telen

Chebyshev varieties

BibTex

 ArXiv: 2401.12140
inJournal
2024 Journal Open Access
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
2024 Repository Open Access
Barbara Betti and Leonie Kayser

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

BibTex

 ArXiv: 2406.02734 Code: mathrepo.mis.mpg.de
Preprint
2024 Repository Open Access
Barbara Betti, Viktoriia Borovik and Simon Telen

Proudfoot-Speyer degenerations of scattering equations

BibTex

 ArXiv: 2410.03614 Code: mathrepo.mis.mpg.de
inJournal
2024 Repository Open Access
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
Preprint
2024 Repository Open Access
Tobias Boege, Jesse Selover and Maksym Zubkov

Sign patterns of principal minors of real symmetric matrices

BibTex

 ArXiv: 2407.17826 Code: mathrepo.mis.mpg.de
inBook
2024
Federico Bonetto, Eric A. Carlen, Lukas Hauger and Michael Loss

Approach to equilibrium for the Kac model

In: From particle systems to partial differential equations : PSPDE X, Braga, Portugal, June 2022 / Eric Carlen (ed.)
Cham : Springer, 2024. - pp. 187-211

BibTex

 DOI: 10.1007/978-3-031-65195-3_8
Preprint
2024 Repository Open Access
Eric Boniface, Karel Devriendt and Serkan Hoşten

Tropical toric maximum likelihood estimation

BibTex

 ArXiv: 2404.10567
Preprint
2024 Repository Open Access
Michael Borinsky, Chiara Meroni and Maximilian Wiesmann

Bivariate exponential integrals and edge-bicolored graphs

BibTex

 ArXiv: 2409.18607 Code: mathrepo.mis.mpg.de
inJournal
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
Preprint
2024 Repository Open Access
Lara Bossinger, Máté Telek and Hannah Tillmann-Morris

Binary geometries from pellytopes

BibTex

 ArXiv: 2410.08002
inJournal
2024 Repository Open Access
Marie-Charlotte Brandenburg, Benjamin Hollering and İrem Portakal

Combinatorics of correlated equilibria

In: Experimental mathematics, (2024)

BibTex

 DOI: 10.1080/10586458.2024.2340000 ArXiv: 2209.13938 Code: mathrepo.mis.mpg.de
inJournal
2024 Journal Open Access
Marie-Charlotte Brandenburg and Chiara Meroni

Intersection bodies of polytopes : translations and convexity

In: Journal of algebraic combinatorics, (2024)

BibTex

 DOI: 10.1007/s10801-024-01328-9 ArXiv: 2302.11764 Code: mathrepo.mis.mpg.de
inJournal
2024 Repository Open Access
Marie-Charlotte Brandenburg, Jesús A. De Loera and Chiara Meroni

The best ways to slice a polytope

In: Mathematics of computation, (2024)

BibTex

 DOI: 10.1090/mcom/4006 ArXiv: 2304.14239 Code: mathrepo.mis.mpg.de
inJournal
2024 Journal Open Access
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
Preprint
2024 Repository Open Access
Paul Breiding, Bernd Sturmfels and Kexin Wang

Computing arrangements of hypersurfaces

BibTex

 ArXiv: 2409.09622
inJournal
2024 Repository Open Access
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
Book
2024 Journal Open Access
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
inJournal
2024 Journal Open Access
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
inJournal
2024 Journal Open Access
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
inJournal
2024 Journal Open Access
Laura Casabella, Michael Joswig and Lars Kastner

Subdivisions of hypersimplices : with a view toward finite metric spaces

In: Experimental mathematics, (2024)

BibTex

 DOI: 10.1080/10586458.2024.2418831 ArXiv: 2402.17665
inJournal
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
inJournal
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, (2024)

BibTex

 DOI: 10.1007/s41468-024-00169-6 ArXiv: 2112.06509
inJournal
2024 Journal Open Access
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
inJournal
2024 Repository Open Access
Yairon Cid-Ruiz, Fatemeh Mohammadi and Leonid Monin

Multigraded algebras and multigraded linear series

In: The journal of the London Mathematical Society, 109 (2024) 3, e12880

BibTex

 DOI: 10.1112/jlms.12880 ArXiv: 2104.05397
inJournal
2024 Repository Open Access
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
Preprint
2024 Repository Open Access
Jane Ivy Coons, Heather A. Harrington and Niharika Chakrabarty Paul

Geometry of rational quasi-independence models as toric fiber products

BibTex

 ArXiv: 2405.13897
inJournal
2024 Repository Open Access
Francesco Antonio Denisi and Ángel David Ríos Ortiz

Asymptotic base loci on hyper-Kähler manifolds

In: Communications in contemporary mathematics, (2024)

BibTex

 DOI: 10.1142/S0219199724500263 ArXiv: 2304.01773
Preprint
2024 Repository Open Access
Shounak De, Dmitrii Pavlov, Marcus Spradlin and Anastasia Volovich

From Feynman diagrams to the amplituhedron : a gentle review

BibTex

 ArXiv: 2410.11757 Code: mathrepo.mis.mpg.de
inJournal
2024 Repository Open Access
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
Preprint
2024 Repository Open Access
Karel Devriendt, Hannah Friedman, Bernhard Reinke and Bernd Sturmfels

The two lives of the Grassmannian

BibTex

 ArXiv: 2401.03684 Code: mathrepo.mis.mpg.de
inJournal
2024 Repository Open Access
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
Preprint
2024
Nick Early and Jian-Rong Li

Classification of prime modules of quantum affine algebras corresponding to 2-column tableaux

BibTex

 Link: www.researchgate.net
inJournal
2024 Journal Open Access
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
Preprint
2024 Repository Open Access
Nick Early, Anaëlla Pfister and Bernd Sturmfels

Minimal kinematics on \(\mathcal{M}_{0,n}\)

BibTex

 ArXiv: 2402.03065
Preprint
2024 Repository Open Access
Yassine El Maazouz, Bernd Sturmfels and Svala Sverrisdóttir

Gram matrices for isotropic vectors

BibTex

 ArXiv: 2411.08624
Preprint
2024 Repository Open Access
Yassine El Maazouz, Anaëlla Pfister and Bernd Sturmfels

Spinor-Helicity varieties

BibTex

 ArXiv: 2406.17331 Code: mathrepo.mis.mpg.de
inJournal
2024 Journal Open Access
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
inJournal
2024 Journal Open Access
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
inJournal
2024 Journal Open Access
Fabian Faulstich, Bernd Sturmfels and Svala Sverrisdóttir

Algebraic varieties in quantum chemistry

In: Foundations of computational mathematics, (2024)

BibTex

 DOI: 10.1007/s10208-024-09657-8 ArXiv: 2308.05258
inJournal
2024 Journal Open Access
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
inJournal
2024 Repository Open Access
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
inJournal
2024 Repository Open Access
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
inJournal
2024 Repository Open Access
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
inJournal
2024 Repository Open Access
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
Preprint
2024 Repository Open Access
Hannah Friedman

Likelihood geometry of the squared Grassmannian

BibTex

 ArXiv: 2409.03730
inJournal
2024 Journal Open Access
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
inJournal
2024 Repository Open Access
Natalia García-Colín, Dimitri Leemans, Mia Müßig and Érika Roldán

There is no perfect Mondrian partition for squares of side lengths less than 1001

In: Discrete applied mathematics, 359 (2024), pp. 400-406

BibTex

 DOI: 10.1016/j.dam.2024.09.021 ArXiv: 2311.02385
Preprint
2024 Repository Open Access
Marina Garrote-López and Monroe Stephenson

Cumulant tensors in partitioned independent component analysis

BibTex

 ArXiv: 2402.10089

MiS Preprint
inJournal
2024 Repository Open Access
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
inJournal
2024 Journal Open Access
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
inJournal
2024 Repository Open Access
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
inJournal
2024 Repository Open Access
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
inJournal
2024 Repository Open Access
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
inJournal
2024 Journal Open Access
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
Preprint
2024 Repository Open Access
Abel Jansma

A mereological approach to higher-order structure in complex systems : from macro to micro with Möbius

BibTex

 ArXiv: 2404.14423
Preprint
2024 Repository Open Access
Abel Jansma, Pedro A. M. Mediano and Fernando E. Rosas

The fast Möbius transform : an algebraic approach to information decomposition

BibTex

 ArXiv: 2410.06224
inJournal
2024 Journal Open Access
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
Preprint
2024 Repository Open Access
Thomas Kahle, Lukas Kühne, Leonie Mühlherr, Bernd Sturmfels and Maximilian Wiesmann

Arrangements and likelihood

BibTex

 ArXiv: 2411.09508 Code: mathrepo.mis.mpg.de
Preprint
2024 Repository Open Access
Leonie Kayser, Andreas Kretschmer and Simon Telen

Logarithmic discriminants of hyperplane arrangements

BibTex

 ArXiv: 2410.11675 Code: mathrepo.mis.mpg.de
Preprint
2024 Repository Open Access
Kaie Kubjas, Jiayi Li and Maximilian Wiesmann

Geometry of polynomial neural networks

BibTex

 ArXiv: 2402.00949 Code: mathrepo.mis.mpg.de
inJournal
2024 Repository Open Access
Lukas Kühne and Leonid Monin

Faces of cosmological polytopes

In: Annales de l'Institut Henri Poincaré / D, (2024)

BibTex

 DOI: 10.4171/aihpd/192 ArXiv: 2209.08069
Preprint
2024 Repository Open Access
Mario Kummer, Bernd Sturmfels and Raluca Vlad

Maximal Mumford curves from planar graphs

BibTex

 ArXiv: 2404.11838 Code: mathrepo.mis.mpg.de
inJournal
2024 Journal Open Access
Antonio Lerario, Chiara Meroni and Daniele Zuddas

On smooth functions with two critical values

In: Revista matematica complutense, (2024)

BibTex

 DOI: 10.1007/s13163-023-00484-z ArXiv: 2206.06955
Preprint
2024 Repository Open Access
Felix Lotter and Leonard Schmitz

Signature matrices of membranes

BibTex

 ArXiv: 2409.11996
Preprint
2024 Repository Open Access
Elia Mazzucchelli, Dmitrii Pavlov and Kexin Wang

Hyperplane arrangements in the Grassmannian

BibTex

 ArXiv: 2409.04288 Code: mathrepo.mis.mpg.de
inJournal
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
inJournal
2024 Journal Open Access
Chiara Meroni, Kristian Ranestad and Rainer Sinn

Convex hulls of surfaces in fourspace

In: Collectanea mathematica, (2024)

BibTex

 DOI: 10.1007/s13348-024-00444-w ArXiv: 2209.01151
Preprint
2024 Repository Open Access
Chiara Meroni, Bernhard Reinke and Kexin Wang

The algebraic degree of the Wasserstein distance

BibTex

 ArXiv: 2401.12735 Code: mathrepo.mis.mpg.de
inJournal
2024 Journal Open Access
Dmitrii Pavlov

Logarithmically sparse symmetric matrices

In: Beiträge zur Algebra und Geometrie, (2024)

BibTex

 DOI: 10.1007/s13366-024-00753-y ArXiv: 2301.10042
Academic
2024 Repository Open Access
Dmitrii Pavlov

Real algebraic geometry for physics and optimization

Dissertation, Universität Leipzig, 2024

BibTex

 Link: nbn-resolving.org
Preprint
2024 Repository Open Access
Dmitrii Pavlov and Simon Telen

Santaló geometry of convex polytopes

BibTex

 ArXiv: 2402.18955 Code: mathrepo.mis.mpg.de
inJournal
2024 Journal Open Access
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
Preprint
2024 Repository Open Access
İrem Portakal and Daniel Windisch

Dependency equilibria : boundary cases and their real algebraic geometry

BibTex

 ArXiv: 2405.19054
Preprint
2024 Repository Open Access
İrem Portakal and Javier Sendra-Arranz

Game theory of undirected graphical models

BibTex

 ArXiv: 2402.13246
inJournal
2024 Repository Open Access
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
Preprint
2024 Repository Open Access
Elizabeth Pratt and Bernd Sturmfels

The Chow-Lam form

BibTex

 ArXiv: 2401.10795
Preprint
2024 Repository Open Access
Smita Rajan, Svala Sverrisdóttir and Bernd Sturmfels

Kinematic varieties for massless particles

BibTex

 ArXiv: 2408.16711
Preprint
2024 Repository Open Access
Kristian Ranestad, Rainer Sinn and Simon Telen

Adjoints and canonical forms of tree amplituhedra

BibTex

 ArXiv: 2402.06527
inJournal
2024 Repository Open Access
Bernhard Reinke

Amenability of bounded automata groups on infinite alphabets

In: The bulletin of the London Mathematical Society, (2024)

BibTex

 DOI: 10.1112/blms.13065 ArXiv: 2004.05029
inJournal
2024 Repository Open Access
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
Preprint
2024 Repository Open Access
Kemal Rose and Máté Telek

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

BibTex

 ArXiv: 2408.15719
Academic
2024 Repository Open Access
Kemal Rose

Sparse polynomial system(s) in optimization

Dissertation, Universität Leipzig, 2024

BibTex

 Link: nbn-resolving.org
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
inJournal
2024 Repository Open Access
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
Svala Sverrisdóttir and Fabian Faulstich

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

BibTex

 ArXiv: 2405.12238
Preprint
2024 Repository Open Access
Simon Telen and Maximilian Wiesmann

Euler stratifications of hypersurface families

BibTex

 ArXiv: 2407.18176 Code: mathrepo.mis.mpg.de
inJournal
2024 Repository Open Access
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
Preprint
2024 Repository Open Access
Kexin Wang, Aida Maraj and Anna Seigal

Contrastive independent component analysis

BibTex

 ArXiv: 2407.02357
Preprint
2024 Repository Open Access
Maximilian Wiesmann and Paul Larsen

Pathological regularization regimes in classification tasks

BibTex

 ArXiv: 2406.14731
inJournal
2024 Journal Open Access
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
inJournal
2023 Repository Open Access
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
inJournal
2023 Repository Open Access
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
inJournal
2023 Repository Open Access
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
inJournal
2023 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, (2023)

BibTex

 DOI: 10.1007/s00454-023-00538-5 ArXiv: 2205.11287 Code: mathrepo.mis.mpg.de
inJournal
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
inJournal
2023 Journal Open Access
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
inJournal
2023 Repository Open Access
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
inBook
2023 Repository Open Access
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
inBook
2023 Repository Open Access
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
inJournal
2023 Repository Open Access
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
inJournal
2023 Journal Open Access
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
Preprint
2023 Repository 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

BibTex

 ArXiv: 2305.04784
inJournal
2023 Repository Open Access
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
inBook
2023 Journal Open Access
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
inJournal
2023 Repository Open Access
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
inJournal
2023 Repository Open Access
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
inJournal
2023 Journal Open Access
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
inJournal
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
inJournal
2023 Journal Open Access
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
inJournal
2023 Repository Open Access
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
Barbara Betti, Alessio Moscariello, Francesco Romeo and Jyoti Singh

F-threshold of determinantal rings

BibTex

 ArXiv: 2309.17376
Preprint
2023 Repository Open Access
Moritz Beyer, Stefano Mereta, Érika Roldán and Peter Voran

Higher-dimensional cubical sliding puzzles

BibTex

 ArXiv: 2307.14143
inJournal
2023 Repository Open Access
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
inJournal
2023 Journal Open Access
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
inJournal
2023 Journal Open Access
Tobias Boege

No eleventh conditional Ingleton inequality

In: Experimental mathematics, (2023)

BibTex

 DOI: 10.1080/10586458.2023.2294827 ArXiv: 2204.03971

MiS Preprint

 Code: mathrepo.mis.mpg.de
inJournal
2023 Journal Open Access
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
inJournal
2023 Journal Open Access
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
inJournal
2023 Journal Open Access
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
inJournal
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
Preprint
2023 Repository Open Access
Alessio Borzì and Victoria Schleis

Linear degenerate tropical flag varieties

BibTex

 ArXiv: 2308.04193
Preprint
2023 Repository Open Access
Alessio Borzì

Realizability of matroid quotients

BibTex

 ArXiv: 2403.03615
inJournal
2023 Repository Open Access
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
inJournal
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
inJournal
2023 Repository Open Access
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