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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
2024 Repository Open Access
Daniele Agostini

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

In: Journal of algebraic geometry, (2024)
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
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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
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2024 Repository Open Access
Yulia Alexandr

Logarithmic Voronoi polytopes for discrete linear models

In: Algebraic statistics, 15 (2024) 1, pp. 1-13
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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
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
Preprint
2024 Repository Open Access
Elizabeth S. Allman, Hector Baños, Marina Garrote-López and John A. Rhodes

Identifiability of level-1 species networks from gene tree quartets

Preprint
2024 Repository Open Access
Zaïneb Bel-Afia, Chiara Meroni and Simon Telen

Chebyshev varieties

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
Preprint
2024 Repository Open Access
Barbara Betti and Leonie Kayser

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

Preprint
2024 Repository Open Access
Eric Boniface, Karel Devriendt and Serkan Hoşten

Tropical toric maximum likelihood estimation

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

Combinatorics of correlated equilibria

In: Experimental mathematics, (2024)
inJournal
2024 Journal Open Access
Marie-Charlotte Brandenburg and Chiara Meroni

Intersection bodies of polytopes : translations and convexity

In: Journal of algebraic combinatorics, (2024)
inJournal
2024 Journal Open Access
Paul Breiding, Samantha Fairchild, Pierpaola Santarsiero and Elima Shehu

Average degree of the essential variety

In: La matematica, (2024)
inJournal
2024 Repository Open Access
Paul Breiding, Timothy Duff, Lukas Gustafsson, Felix Rydell and Elima Shehu

Line multiview ideals

In: Communications in algebra, (2024)
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
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
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
Preprint
2024 Repository Open Access
Laura Casabella, Michael Joswig and Lars Kastner

Subdivisions of hypersimplices : with a view toward finite metric spaces

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
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
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

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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
Preprint
2024 Repository Open Access
Karel Devriendt, Hannah Friedman, Bernhard Reinke and Bernd Sturmfels

The two lives of the Grassmannian

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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
Preprint
2024
Nick Early and Jian-Rong Li

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

Preprint
2024 Repository Open Access
Nick Early, Anaëlla Pfister and Bernd Sturmfels

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

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
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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
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2024 Repository Open Access
Claudia Fevola, Sebastian Mizera and Simon Telen

Principal Landau determinants

In: Computer physics communications, (2024)
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
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
Preprint
2024 Repository Open Access
Marina Garrote-López and Monroe Stephenson

Cumulant tensors in partitioned independent component analysis

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
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
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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
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
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
Preprint
2024 Repository Open Access
Abel Jansma

A compositional approach to higher-order structure in complex systems

Preprint
2024 Repository Open Access
Kaie Kubjas, Jiayi Li and Maximilian Wiesmann

Geometry of polynomial neural networks

inJournal
2024 Repository Open Access
Lukas Kühne and Leonid Monin

Faces of cosmological polytopes

In: Annales de l'Institut Henri Poincaré / D, (2024)
Preprint
2024 Repository Open Access
Mario Kummer, Bernd Sturmfels and Raluca Vlad

Maximal Mumford curves from planar graphs

Preprint
2024 Repository Open Access
Chiara Meroni, Bernhard Reinke and Kexin Wang

The algebraic degree of the Wasserstein distance

inJournal
2024 Journal Open Access
Dimitrii Pavlov

Logarithmically sparse symmetric matrices

In: Beiträge zur Algebra und Geometrie, (2024)
Preprint
2024 Repository Open Access
Dimitrii Pavlov and Simon Telen

Santaló geometry of convex polytopes

Preprint
2024 Repository Open Access
İrem Portakal and Daniel Windisch

Dependency equilibria : boundary cases and their real algebraic geometry

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

Game theory of undirected graphical models

inJournal
2024 Repository Open Access
İrem Portakal and Javier Sendra-Arranz

Nash conditional independence curve

In: Journal of symbolic computation, 122 (2024), p. 102255
Preprint
2024 Repository Open Access
Elizabeth Pratt and Bernd Sturmfels

The Chow-Lam form

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

Adjoints and canonical forms of tree amplituhedra

inJournal
2024 Repository Open Access
Bernhard Reinke

Amenability of bounded automata groups on infinite alphabets

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

Sparse polynomial system(s) in optimization

Dissertation, Universität Leipzig, 2024
Preprint
2024 Repository Open Access
Kemal Rose

The polyhedral type of a polynomial map on the plane

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
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
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
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
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
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
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)
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
Academic
2023 Repository Open Access
Rida Ait El Manssour

Combinatorial methods in differential algebra

Dissertation, Universität Leipzig, 2023
Preprint
2023 Repository Open Access
Rida Ait El Manssour, Anna-Laura Sattelberger and Bertrand Teguia Tabuguia

D-algebraic functions

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
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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
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
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)
Preprint
2023 Repository Open Access
Carlos Améndola, Francesco Galuppi, Ángel David Ríos Ortiz, Pierpaola Santarsiero and Tim Seynnaeve

Decomposing tensor spaces via path signatures

Preprint
2023 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

Preprint
2023 Repository Open Access
Carlos Améndola and Janike Oldekop

Likelihood geometry of reflexive polytopes

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
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

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
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
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
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
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
inJournal
2023 Repository Open Access
Jose Bastidas, Sarah Brauner and Franco Saliola

Left regular bands of groups and the Mantaci-Reutenauer algebra

In: Journal of algebra, (2023)
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
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
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
Preprint
2023 Repository Open Access
Barbara Betti, Alessio Moscariello, Francesco Romeo and Jyoti Singh

F-threshold of determinantal rings

Preprint
2023 Repository Open Access
Barbara Betti, Marta Panizzut and Simon Telen

Solving equations using Khovanskii bases

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

Higher-dimensional cubical sliding puzzles

Preprint
2023 Repository Open Access
Arthur Bik and Alessandro Neri

Higher-degree symmetric rank-metric codes

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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
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
inJournal
2023 Journal Open Access
Tobias Boege

No eleventh conditional Ingleton inequality

In: Experimental mathematics, (2023)
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
inJournal
2023 Journal Open Access
Tobias Boege

Selfadhesivity in Gaussian conditional independence structures

In: International journal of approximate reasoning, 163 (2023), p. 109027
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
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
Preprint
2023 Repository Open Access
Viktoriia Borovik, Bernd Sturmfels and Svala Sverrisdóttir

Coupled cluster degree of the Grassmannian

Preprint
2023 Repository Open Access
Alessio Borzì and Victoria Schleis

Linear degenerate tropical flag varieties

Preprint
2023 Repository Open Access
Alessio Borzì

Realizability of matroid quotients

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
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
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
Preprint
2023 Repository Open Access
Marie-Charlotte Brandenburg, Jesús A. De Loera and Chiara Meroni

The best ways to slice a polytope

inJournal
2023 Journal Open Access
Marie-Charlotte Brandenburg, Georg Loho and Rainer Sinn

Tropical positivity and determinantal varieties

In: Algebraic combinatorics, 6 (2023) 4, pp. 999-1040
Academic
2023 Repository Open Access
Marie-Charlotte Brandenburg

Tropical positivity and semialgebraic sets from polytopes

Dissertation, Universität Leipzig, 2023
inJournal
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
inJournal
2023 Repository Open Access
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
inJournal
2023 Repository Open Access
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
inJournal
2023 Repository Open Access
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
inJournal
2023 Journal Open Access
Paul Breiding, Julia Lindberg, Gabriel Ong and Linus Sommer

Real circles tangent to 3 conics

In: Le Matematiche, 78 (2023) 1, pp. 149-175
inJournal
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
Preprint
2023 Repository Open Access
Taylor Brysiewicz and Aida Maraj

Lawrence lifts, matroids, and maximum likelihood degrees

Preprint
2023 Repository Open Access
Taylor Brysiewicz, Fulvio Gesmundo and Avi Steiner

Quatroids and rational plane cubics

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
inJournal
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
inJournal
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
inJournal
2023 Repository Open Access
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
inJournal
2023 Repository Open Access
Türkü Özlüm Celik, Samantha Fairchild and Yelena Mandelshtam

Crossing the transcendental divide : from translation surfaces to algebraic curves

In: Experimental mathematics, (2023)
inJournal
2023 Repository Open Access
Yairon Cid-Ruiz and Bernd Sturmfels

Primary decomposition with differential operators

In: International mathematics research notices, 2023 (2023) 14, pp. 12119-12147
inJournal
2023 Repository Open Access
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
Preprint
2023 Repository Open Access
Noémie Combe

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

inBook
2023 Repository Open Access
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)
inJournal
2023 Repository Open Access
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
Preprint
2023 Repository Open Access
Noémie Combe

On Frobenius structures in symmetric cones

inBook
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)
inJournal
2023 Repository Open Access
Aldo Conca, Simone Naldi, Giorgio Ottaviani and Bernd Sturmfels

Taylor polynomials of rational functions

In: Acta mathematica Vietnamica, (2023)
inJournal
2023 Repository Open Access
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
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

inJournal
2023 Repository Open Access
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
Preprint
2023 Repository Open Access
Joseph Cummings and Benjamin Hollering

Computing implicitizations of multi-graded polynomial maps

Preprint
2023 Repository Open Access
Joseph Cummings, Elizabeth Gross, Benjamin Hollering, Samuel Martin and Ikenna Nometa

The Pfaffian structure of CFN phylogenetic networks

inJournal
2023 Repository Open Access
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
inJournal
2023 Repository Open Access
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
inJournal
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
Preprint
2023 Repository Open Access
Alessandro De Stefani, Jonathan Montaño, Luis Núñez-Betancourt, Lisa Seccia and Matteo Varbaro

Ladder determinantal varieties and their symbolic blowups

inJournal
2023 Repository Open Access
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
Preprint
2023 Repository Open Access
Karel Devriendt and Raffaella Mulas

Uniform density in matroids, matrices and graphs

inJournal
2023 Repository Open Access
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
inJournal
2023 Repository Open Access
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
inJournal
2023 Journal Open Access
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
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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
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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
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2023 Repository Open Access
Mathias Drton, Alexandros Grosdos, İrem Portakal and Nils Sturma

Algebraic sparse factor analysis

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2023 Repository Open Access
Mathias Drton, Benjamin Hollering and Jun Wu

Identifiability of homoscedastic linear structural equation models using algebraic matroids

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Eliana Duarte, Dimitrii Pavlov and Maximilian Wiesmann

Algebraic geometry of quantum graphical models

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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)
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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
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2023 Repository Open Access
Nick Early

Moduli space tilings and Lie-theoretic color factors

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2023 Repository Open Access
Nick Early, Alheydis Geiger, Marta Panizzut, Bernd Sturmfels and Claudia He Yun

Positive del Pezzo geometry

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2023 Repository Open Access
Nick Early and Jian-Rong Li

Tropical geometry, quantum affine algebras, and scattering amplitudes

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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
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2023 Repository Open Access
Manuel Estévez, Érika Roldán and Henry Segerman

Surfaces in the tesseract

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2023 Repository Open Access
Samantha Fairchild and Jiyoung Han

Mean value theorems for the S-arithmetic primitive Siegel transforms

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2023 Repository Open Access
Sebastian Falkensteiner, Dimitrii Pavlov and Rafael Sendra

On real and observable realizations of input-output equations

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2023 Repository Open Access