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Combinatorial Algebraic Geometry - Publications

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

inJournal
2025 Repository Open Access
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
Preprint
2025 Repository Open Access
Kangjin Han, Mateusz Michałek and Julian Weigert

White's conjecture for matroids and inner projections

BibTex ArXiv: 2501.17738
Preprint
2025 Repository Open Access
Xue Liu, Mateusz Michałek and Julian Weigert

Mixed Eulerian numbers and beyond

BibTex ArXiv: 2502.04980
inJournal
2024 Journal Open Access
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
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 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
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
BibTex DOI: 10.1016/j.aam.2022.102417 ArXiv: 1904.07563 MiS Preprint
inJournal
2023 Journal Open Access
Emre Can Sertöz

A compactification of the moduli space of multiple-spin curves

In: Geometriae dedicata, 217 (2023) 5, p. 80
BibTex DOI: 10.1007/s10711-023-00814-x ArXiv: 1701.02303
inJournal
2022 Journal Open Access
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
inBook
2022 Repository Open Access
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
inJournal
2022 Repository Open Access
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
inJournal
2022 Journal Open Access
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
inJournal
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
inJournal
2022 Journal Open Access
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
inJournal
2022 Journal Open Access
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
inJournal
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
inBook
2022 Repository Open Access
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
inJournal
2022 Repository Open Access
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
Academic
2022 Repository Open Access
Martin Vodička

Combinatorial methods in algebraic geometry

Dissertation, Universität Konstanz, 2022
BibTex
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 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
inBook
2021 Repository Open Access
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
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
inJournal
2021 Repository Open Access
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
inJournal
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
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
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
inJournal
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
inJournal
2021 Repository Open Access
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
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
inJournal
2021 Repository Open Access
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
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
inJournal
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
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
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 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 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 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
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
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
Academic
2020 Repository Open Access
Paul Görlach

Projective geometry, toric algebra and tropical computations

Dissertation, Universität Leipzig, 2020
BibTex
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
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
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
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
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
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
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
Academic
2020 Repository Open Access
Tim Seynnaeve

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

Dissertation, Universität Leipzig, 2020
BibTex
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
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
inJournal
2019 Repository Open Access
Jarosław Buczyński, Tadeusz Januszkiewicz, Joachim Jelisiejew and Mateusz Michałek

Constructions of \(k\)-regular maps using finite local schemes

In: Journal of the European Mathematical Society, 21 (2019) 6, pp. 1775-1808
BibTex DOI: 10.4171/JEMS/873 ArXiv: 1511.05707
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
Preprint
2019 Repository Open Access
Paul Görlach

Injection dimensions of projective varieties

BibTex ArXiv: 1905.11306 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 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
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 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
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
Preprint
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
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 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
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
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
Mateusz Michałek, Akihiro Higashitani, Katharina Jochemko and Mario Kummer

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
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 Journal Open Access
Yaroslav Shitov

A counterexample to Strassen's direct sum conjecture

In: Acta mathematica, 222 (2019) 2, pp. 363-379
BibTex DOI: 10.4310/ACTA.2019.v222.n2.a3 ArXiv: 1712.08660
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 Link: null
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
inBook
2018
Jarosław Buczyński, Mateusz Michałek and Elisa Postinghel

Introduction to 'Schubert varieties, equivariant cohomology and characteristic classes, IMPANGA15 volume'

In: Schubert varieties, equivariant cohomology and characteristic classes : impanga 15 / Jarosław Buczyński... (eds.)
Zürich : European Mathematical Society, 2018. - pp. 1-7
(EMS series of congress reports)
BibTex DOI: 10.4171/182
Book
2018
Jarosław Buczyński, Mateusz Michałek and Elisa Postinghel (Eds.)

Schubert varieties, equivariant cohomology and characteristic classes : impanga 15

Zürich : European Mathematical Society, 2018. - vi, 348
(EMS series of congress reports)
ISBN: 978-3-03719-182-8, ISBN: 978-3-03719-682-3
BibTex DOI: 10.4171/182
inJournal
2018 Journal Open Access
Laura Colmenarejo, Charles F. Dunkl and Jean-Gabriel Luque

Factorizations of symmetric Macdonald polynomials

In: Symmetry, 10 (2018) 11, p. 541
BibTex DOI: 10.3390/sym10110541 ArXiv: 1707.00897
inJournal
2018 Repository Open Access
Joseph Gubeladze and Mateusz Michałek

The poset of rational cones

In: Pacific journal of mathematics, 292 (2018) 1, pp. 103-115
BibTex DOI: 10.2140/pjm.2018.292.103 ArXiv: 1606.02083
inBook
2018 Repository Open Access
Jonathan Hauenstein, Avinash Kulkarni, Emre Can Sertöz and Samantha Sherman

Certifying reality of projections

In: Mathematical software ICMS 2018 : 6th international conference, South Bend, IN, USA, July 24-27, 2018, proceedings / James Davenport... (eds.)
Cham : Springer, 2018. - pp. 200-208
(Lecture notes in computer science ; 10931)
BibTex DOI: 10.1007/978-3-319-96418-8_24 ArXiv: 1804.02707 MiS Preprint
inJournal
2018 Journal Open Access
Thomas Kahle and Mateusz Michałek

Obstructions to combinatorial formulas for plethysm

In: The electronic journal of combinatorics, 25 (2018) 1, P1.41
BibTex DOI: 10.37236/6597 ArXiv: 1507.07131
inJournal
2018 Journal Open Access
Joseph M. Landsberg and Mateusz Michałek

A \(2n^2 - log_2(n) - 1\) lower bound for the border rank of matrix multiplication

In: International mathematics research notices, 2018 (2018) 15, pp. 4722-4733
BibTex DOI: 10.1093/imrn/rnx025 ArXiv: 1608.07486
inJournal
2018 Journal Open Access
Mateusz Michałek, Alexander Perepechko and Hendrik Süß

Flexible affine cones and flexible coverings

In: Mathematische Zeitschrift, 290 (2018) 3-4, pp. 1457-1478
BibTex DOI: 10.1007/s00209-018-2069-2 ArXiv: 1612.01144
inBook
2018 Repository Open Access
Mateusz Michałek

Selected topics on toric varieties

In: The 50th anniversary of Gröbner bases : proceedings of the 8th Mathematical Society of Japan Seasonal Institute (MSJ SI 2015) : July 1-10, 2015, at Hotel Nikko Osaka / Takayuki Hibi (ed.)
Tokyo : Mathematical Society of Japan, 2018. - pp. 207-252
(Advanced studies in pure mathematics ; 77)
BibTex DOI: 10.2969/aspm/07710207 ArXiv: 1702.03125
inJournal
2018 Journal Open Access
Mateusz Michałek and Hyunsuk Moon

Spaces of sums of powers and real rank boundaries

In: Beiträge zur Algebra und Geometrie, 59 (2018) 4, pp. 645-663
BibTex DOI: 10.1007/s13366-018-0388-4 ArXiv: 1612.07900 MiS Preprint
inJournal
2018 Repository Open Access
Mateusz Michałek and Bernd Sturmfels

Tensoren und ihre Zerlegungen

In: Jahrbuch der Max-Planck-Gesellschaft, 2018 (2018), Forschungsbericht - Max-Planck-Institut für Mathematik in den Naturwissenschaften
BibTex
inJournal
2018 Repository Open Access
Tim Seynnaeve

Plethysm and fast matrix multiplication

In: Comptes rendus mathematique, 356 (2018) 1, pp. 52-55
BibTex DOI: 10.1016/j.crma.2017.11.012 ArXiv: 1710.00528 MiS Preprint
inJournal
2017 Repository Open Access
Daniele Agostini

A note on homogeneous ideals of abelian surfaces

In: The bulletin of the London Mathematical Society, 49 (2017) 2, pp. 220-225
BibTex DOI: 10.1112/blms.12027 ArXiv: 1604.06228
inJournal
2017 Repository Open Access
Marta Casanellas, Jesus Fernández-Sánchez and Mateusz Michałek

Local equations for equivariant evolutionary models

In: Advances in mathematics, 315 (2017), pp. 285-323
BibTex DOI: 10.1016/j.aim.2017.05.003 ArXiv: 1512.07174
Academic
2017
Paul Görlach

Computing rational invariants characterizing polynomials up to orthogonal transformations

Master's thesis, Rheinische Friedrich-Wilhelms-Universität Bonn, 2017
BibTex
inJournal
2017 Journal Open Access
Akihiro Higashitani, Mario Kummer and Mateusz Michałek

Interlacing Ehrhart polynomials of reflexive polytopes

In: Selecta mathematica, 23 (2017) 4, pp. 2977-2998
BibTex DOI: 10.1007/s00029-017-0350-6 ArXiv: 1612.07538 MiS Preprint
inJournal
2017 Repository Open Access
Joseph M. Landsberg and Mateusz Michałek

Abelian tensors

In: Journal de mathématiques pures et appliquées, 108 (2017) 3, pp. 333-371
BibTex DOI: 10.1016/j.matpur.2016.11.004 ArXiv: 1504.03732
inJournal
2017 Journal Open Access
Joseph M. Landsberg and Mateusz Michałek

On the geometry of border rank decompositions for matrix multiplication and other tensors with symmetry

In: SIAM journal on applied algebra and geometry, 1 (2017) 1, pp. 2-19
BibTex DOI: 10.1137/16M1067457 ArXiv: 1601.08229
inJournal
2017 Repository Open Access
Michał Lasoń and Mateusz Michałek

Non-normal very ample polytopes : constructions and examples

In: Experimental mathematics, 26 (2017) 2, pp. 130-137
BibTex DOI: 10.1080/10586458.2015.1128370 ArXiv: 1406.4070
inJournal
2017 Repository Open Access
Mateusz Michałek and Chris Miller

Examples of k-regular maps and interpolation spaces

In: Linear algebra and its applications, 530 (2017), pp. 94-108
BibTex DOI: 10.1016/j.laa.2017.05.003 ArXiv: 1512.00609
inJournal
2017 Repository Open Access
Mateusz Michałek and Emanuele Ventura

Finite phylogenetic complexity and combinatorics of tables

In: Algebra and number theory, 11 (2017) 1, pp. 235-252
BibTex DOI: 10.2140/ant.2017.11.235 ArXiv: 1606.07263
inJournal
2017 Repository Open Access
Mateusz Michałek

Finite phylogenetic complexity of \(\mathbb{Z}_p\) and invariants for \(\mathbb{Z}_3\)

In: European journal of combinatorics, 59 (2017), pp. 169-186
BibTex DOI: 10.1016/j.ejc.2016.08.007 ArXiv: 1508.04177
inJournal
2017 Journal Open Access
Mateusz Michałek, Hyunsuk Moon, Bernd Sturmfels and Emanuele Ventura

Real rank geometry of ternary forms

In: Annali di matematica pura ed applicata, 196 (2017) 3, pp. 1025-1054
BibTex DOI: 10.1007/s10231-016-0606-3 ArXiv: 1601.06574
Academic
2017
Emre Can Sertöz

Enumerative geometry of theta characteristics

Dissertation, Universität Berlin, 2017
BibTex Link: sertozemre.files.wordpress.com
inJournal
2016 Repository Open Access
Winfried Bruns, Joseph Gubeladze and Mateusz Michałek

Quantum jumps of normal polytopes

In: Discrete and computational geometry, 56 (2016) 1, pp. 181-215
BibTex DOI: 10.1007/s00454-016-9773-7 ArXiv: 1504.01036
inJournal
2016 Repository Open Access
Thomas Kahle and Mateusz Michałek

Plethysm and lattice point counting

In: Foundations of computational mathematics, 16 (2016) 5, pp. 1241-1261
BibTex DOI: 10.1007/s10208-015-9275-7 ArXiv: 1408.5708
inJournal
2016 Repository Open Access
Mateusz Michałek, Bernd Sturmfels, Caroline Uhler and Piotr Zwiernik

Exponential varieties

In: Proceedings of the London Mathematical Society, 112 (2016) 1, pp. 27-56
BibTex DOI: 10.1112/plms/pdv066 ArXiv: 1412.6185
inJournal
2016 Repository Open Access
Mateusz Michałek and Rosa Maria Miró-Roig

Smooth monomial Togliatti systems of cubics

In: Journal of combinatorial theory / A, 143 (2016), pp. 66-87
BibTex DOI: 10.1016/j.jcta.2016.05.004 ArXiv: 1310.2529
inJournal
2016 Repository Open Access
Mateusz Michałek

Toric structures in nontoric varieties [In: Toric geometry ; 27 March - 2 April 2016 ; report no. 19/2016]

In: Oberwolfach reports, 13 (2016) 2, pp. 999-1001
BibTex DOI: 10.4171/OWR/2016/19 Link: publications.mfo.de
inJournal
2015 Repository Open Access
Daniele Agostini, Davide Alberelli, Francesco Grande and Paolo Lella

The maximum likelihood degree of Fermat hypersurfaces

In: Journal of algebraic statistics, 6 (2015) 2, pp. 108-132
BibTex DOI: 10.18409/jas.v6i2.44 ArXiv: 1404.5745
inJournal
2015 Repository Open Access
Matthias Beck, Jessica Delgado, Joseph Gubeladze and Mateusz Michałek

Very ample and Koszul segmental fibrations

In: Journal of algebraic combinatorics, 42 (2015) 1, pp. 165-182
BibTex DOI: 10.1007/s10801-014-0577-7 ArXiv: 1307.7422
inJournal
2015 Repository Open Access
Weronika Buczyńska, Jarosław Buczyński and Mateusz Michałek

The Hackbusch conjecture on tensor formats

In: Journal de mathématiques pures et appliquées, 104 (2015) 4, pp. 749-761
BibTex DOI: 10.1016/j.matpur.2015.05.002 ArXiv: 1501.01120
inJournal
2015 Repository Open Access
Marta Casanellas, Jesus Fernández-Sánchez and Mateusz Michałek

Low degree equations for phylogenetic group-based models

In: Collectanea mathematica, 66 (2015) 2, pp. 203-225
BibTex DOI: 10.1007/s13348-014-0120-0 ArXiv: 1402.6945
inJournal
2015 Repository Open Access
Laurent Manivel and Mateusz Michałek

Secants of minuscule and cominuscule minimal orbits

In: Linear algebra and its applications, 481 (2015), pp. 288-312
BibTex DOI: 10.1016/j.laa.2015.04.027 ArXiv: 1401.1956
inJournal
2015 Repository Open Access
Mateusz Michałek, Luke Oeding and Piotr Zwiernik

Secant cumulants and toric geometry

In: International mathematics research notices, 2015 (2015) 12, pp. 4019-4063
BibTex DOI: 10.1093/imrn/rnu056 ArXiv: 1212.1515
inJournal
2015
Mateusz Michałek

Toric varieties in phylogenetics

In: Dissertationes mathematicae, 2015 (2015) 511, pp. 1-86
BibTex DOI: 10.4064/dm511-0-1
inJournal
2014 Repository Open Access
Michał Lasoń and Mateusz Michałek

On the toric ideal of a matroid

In: Advances in mathematics, 259 (2014), pp. 1-12
BibTex DOI: 10.1016/j.aim.2014.03.004 ArXiv: 1302.5236
inJournal
2014 Repository Open Access
Laurent Manivel and Mateusz Michałek

Effective constructions in plethysms and Weintraub's conjecture

In: Algebras and representation theory, 17 (2014) 2, pp. 433-443
BibTex DOI: 10.1007/s10468-012-9402-y ArXiv: 1207.5748
inJournal
2014 Repository Open Access
Mateusz Michałek

Toric geometry of the 3-Kimura model for any tree

In: Advances in geometry, 14 (2014) 1, pp. 11-30
BibTex DOI: 10.1515/advgeom-2013-0018 ArXiv: 1102.4733
Academic
2013
Daniele Agostini

Asymptotic syzygies of algebraic varieties

Master's thesis, University of Pisa, 2013
BibTex Link: www.math.hu-berlin.de
inJournal
2013 Journal Open Access
Weronika Buczyńska, Jarosław Buczyński, Kaie Kubjas and Mateusz Michałek

On the graph labellings arising from phylogenetics

In: Open mathematics, 11 (2013) 9, pp. 1577-1592
BibTex DOI: 10.2478/s11533-013-0263-3 ArXiv: 1105.5382
inJournal
2013 Repository Open Access
Mateusz Michałek

Constructive degree bounds for group-based models

In: Journal of combinatorial theory / A, 120 (2013) 7, pp. 1672-1694
BibTex DOI: 10.1016/j.jcta.2013.06.003 ArXiv: 1207.0930
inJournal
2012 Journal Open Access
Maria Donten-Bury and Mateusz Michałek

Phylogenetic invariants for group-based models

In: Journal of algebraic statistics, 3 (2012) 1, pp. 44-63
BibTex DOI: 10.18409/jas.v3i1.15 ArXiv: 1011.3236
inJournal
2012 Repository Open Access
Mateusz Michałek

Birational maps between Calabi-Yau manifolds associated to webs of quadrics

In: Journal of algebra, 370 (2012), pp. 186-197
BibTex DOI: 10.1016/j.jalgebra.2012.07.019 ArXiv: 0904.4404
inBook
2012
Mateusz Michałek

Notes on Kebekus' lectures on differential forms on singular spaces

In: Contributions to algebraic geometry : impanga lecture notes / Piortr Pragacz (ed.)
Zürich : European Mathematical Society, 2012. - pp. 375-388
(EMS series of congress reports)
BibTex
inJournal
2011 Journal Open Access
Michał Lasoń and Mateusz Michałek

On the full, strongly exceptional collections on toric varieties with Picard number three

In: Collectanea mathematica, 62 (2011) 3, pp. 275-296
BibTex DOI: 10.1007/s13348-011-0044-x ArXiv: 1003.2047
inJournal
2011 Repository Open Access
Mateusz Michałek

Family of counterexamples to King's conjecture

In: Comptes rendus mathematique, 349 (2011) 1, pp. 67-69
BibTex DOI: 10.1016/j.crma.2010.11.027 ArXiv: 1009.0821
inJournal
2011 Repository Open Access
Mateusz Michałek

Geometry of phylogenetic group-based models

In: Journal of algebra, 339 (2011) 1, pp. 339-356
BibTex DOI: 10.1016/j.jalgebra.2011.05.016 ArXiv: 1004.3012
inJournal
2010 Repository Open Access
Mateusz Michałek

A short proof of combinatorial Nullstellensatz

In: The American mathematical monthly, 117 (2010) 9, pp. 821-823
BibTex DOI: 10.4169/000298910X521689 ArXiv: 0904.4573
inJournal
2009 Repository Open Access
Noga Alon, Jarosław Grytczuk, Michał Lasoń and Mateusz Michałek

Splitting necklaces and measurable colorings of the real line

In: Proceedings of the American Mathematical Society, 137 (2009) 5, pp. 1593-1599
BibTex DOI: 10.1090/S0002-9939-08-09699-8 ArXiv: 1412.7996
inJournal
2009 Journal Open Access
Arijit Dey, Michał Lasoń and Mateusz Michałek

Derived category of toric varieties with Picard number three

In: Le Matematiche, 64 (2009) 2, pp. 99-116
BibTex ArXiv: 1002.3591 Link: www.dmi.unict.it
Book
2008
Mateusz Michałek

Wprowadzenie do algebry komutatywnej = [Translation of the book 'Introduction to commutative algebra' / M. Atiyah and I. Macdonald (polish)]

Kraków : Wydawnictwo Uniwersytetu Jagiellonskiego, 2008. - p. 149
ISBN: 978-83-233-2350-1
BibTex