Former Research Group

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
2024 Journal Open Access
Laurent Manivel, Leonid Monin, Mateusz Micha?ek, Tim Seynnaeve and Martin Vodi?ka

Complete quadrics : Schubert calculus for Gaussian models and semidefinite programming

In: Journal of the European Mathematical Society, 26 (2024) 8, pp. 3091-3135
inJournal
2023 Repository Open Access
Alessio Borzi, Xiangying Chen, Harshit J. Motwani, Lorenzo Venturello and Martin Vodička

The leading coefficient of Lascoux polynomials

In: Discrete mathematics, 346 (2023) 2, p. 113217
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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 Journal Open Access
Emre Can Sertöz

A compactification of the moduli space of multiple-spin curves

In: Geometriae dedicata, 217 (2023) 5, p. 80
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)
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
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
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
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
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
Academic
2022 Repository Open Access
Martin Vodi?ka

Combinatorial methods in algebraic geometry

Dissertation, Universität Konstanz, 2022
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
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)
Preprint
2021 Repository Open Access
Rodica Dinu, Mateusz Michałek and Martin Vodička

Geometry of the Gaussian graphical model of the cycle

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2021 Repository Open Access
Rodica Dinu and Martin Vodička

Gorenstein property for phylogenetic trivalent trees

In: Journal of algebra, 575 (2021), pp. 233-255
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
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
inJournal
2021 Journal Open Access
Paul Görlach, Christian Lehn and Anna-Laura Sattelberger

Algebraic analysis of the hypergeometric function 1F1 of a matrix argument

In: Beiträge zur Algebra und Geometrie, 62 (2021) 2, pp. 397-427
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2021 Journal Open Access
Paul Görlach, Yue Ren and Jeff Sommars

Detecting tropical defects of polynomial equations

In: Journal of algebraic combinatorics, 53 (2021) 1, pp. 31-47
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
inJournal
2021 Repository Open Access
Mateusz Michałek, Leonid Monin and Jarosław Wiśniewski

Maximum likelihood degree, complete quadrics and C-action

In: SIAM journal on applied algebra and geometry, 5 (2021) 1, pp. 60-85
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
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
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
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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
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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
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
inJournal
2020 Journal Open Access
Rodica Dinu and Tim Seynnaeve

The Hessian discriminant

In: Le Matematiche, 75 (2020) 2, pp. 595-610
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
Academic
2020 Repository Open Access
Paul Görlach

Projective geometry, toric algebra and tropical computations

Dissertation, Universität Leipzig, 2020
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
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']

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
Academic
2020 Repository Open Access
Tim Seynnaeve

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

Dissertation, Universität Leipzig, 2020
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
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']

Preprint
2019 Repository Open Access
Paul Görlach

Injection dimensions of projective varieties

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
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
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
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 CmCmCm

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
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
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2019 Repository Open Access
Emre Can Sertöz

Computing periods of hypersurfaces

In: Mathematics of computation, 88 (2019) 320, pp. 2987-3022
inJournal
2019 Journal Open Access
Yaroslav Shitov

A counterexample to Strassen's direct sum conjecture

In: Acta mathematica, 222 (2019) 2, pp. 363-379
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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
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
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
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)
inJournal
2018 Journal Open Access
Joseph M. Landsberg and Mateusz Michałek

A 2n2log2(n)1 lower bound for the border rank of matrix multiplication

In: International mathematics research notices, 2018 (2018) 15, pp. 4722-4733
inJournal
2018 Repository Open Access
Tim Seynnaeve

Plethysm and fast matrix multiplication

In: Comptes rendus mathematique, 356 (2018) 1, pp. 52-55
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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
Academic
2017
Paul Görlach

Computing rational invariants characterizing polynomials up to orthogonal transformations

Master's thesis, Rheinische Friedrich-Wilhelms-Universität Bonn, 2017
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
Academic
2017
Emre Can Sertöz

Enumerative geometry of theta characteristics

Dissertation, Universität Berlin, 2017
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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
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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
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
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
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
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
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
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
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
inJournal
2015
Mateusz Michałek

Toric varieties in phylogenetics

In: Dissertationes mathematicae, 2015 (2015) 511, pp. 1-86
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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
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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
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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
Academic
2013
Daniele Agostini

Asymptotic syzygies of algebraic varieties

Master's thesis, University of Pisa, 2013
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
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
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
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
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)
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
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2011 Repository Open Access
Mateusz Michałek

Family of counterexamples to King's conjecture

In: Comptes rendus mathematique, 349 (2011) 1, pp. 67-69
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2011 Repository Open Access
Mateusz Michałek

Geometry of phylogenetic group-based models

In: Journal of algebra, 339 (2011) 1, pp. 339-356
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2010 Repository Open Access
Mateusz Michałek

A short proof of combinatorial Nullstellensatz

In: The American mathematical monthly, 117 (2010) 9, pp. 821-823
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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
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
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