Combinatorial Algebraic Geometry
Head:
Mateusz Michałek (Email)
Phone:
+49 (0) 341 - 9959 - 800
Fax:
+49 (0) 341 - 9959 - 658
Address:
Inselstr. 22
04103 Leipzig
Institute publications of the group
Geiger, A. and Panizzut, M.:
Computing tropical bitangents to smooth quartic curves in \(polymake\).
Journal of symbolic computation,
120 (2024), 102225 Bibtex [DOI] [ARXIV] Repository Open Access
Lindberg, J. ; Monin, L. and Rose, K.:
A polyhedral homotopy algorithm for computing critical points of polynomial programs.
Bibtex [ARXIV] Repository Open Access
Breiding, P. ; Gesmundo, F. ; Michałek, M. and Vannieuwenhoven, N.:
Algebraic compressed sensing.
Applied and computational harmonic analysis,
65 (2023), p. 374-406 Bibtex [DOI] [ARXIV] Repository Open Access
Manivel, L. ; Monin, L. ; Michałek, M. ; Seynnaeve, T. and Vodička, M.:
Complete quadrics : Schubert calculus for Gaussian models and semidefinite programming.
Journal of the European Mathematical Society,
Vol. not yet known, pp. not yet known Bibtex MIS-Preprint: 107/2020 [DOI] [ARXIV] [CODELINK] Repository Open Access
Améndola, C. ; Gustafsson, L. ; Kohn, K. ; Marigliano, O. and Seigal, A.:
Differential equations for Gaussian statistical models with rational maximum likelihood
estimator.
Bibtex [ARXIV] [CODELINK] Repository Open Access
Kohn, K. ; Montúfar, G. ; Shahverdi, V. and Trager, M.:
Function space and critical points of linear convolutional networks.
Bibtex [ARXIV] Repository Open Access
D'Alì, A. and Venturello, L.:
Koszul Gorenstein algebras from Cohen-Macaulay simplicial complexes.
International mathematics research notices,
2023 (2023) 6, p. 4998-5045 Bibtex [DOI] [ARXIV] Repository Open Access
Agostini, D. ; Fevola, C. ; Mandelshtam, Y. and Sturmfels, B.:
KP solitons from tropical limits.
Journal of symbolic computation,
114 (2023), p. 282-301 Bibtex [DOI] [ARXIV] [CODELINK] Repository Open Access
Agostini, D. ; Brysiewicz, T. ; Fevola, C. ; Kühne, L. ; Sturmfels, B. and Telen, S.:
Likelihood degenerations.
Advances in mathematics,
414 (2023), 108863 Bibtex [DOI] [ARXIV] [CODELINK] Repository Open Access
Agostini, D. ; Barros, I. and Lai, K.-W.:
On the irrationality of moduli spaces of K3 surfaces.
Transactions of the American Mathematical Society,
376 (2023) 2, p. 1407-1426 Bibtex [DOI] [ARXIV] Repository Open Access
Borzi, A. ; Chen, X. ; Motwani, H. J. ; Venturello, L. and Vodička, M.:
The leading coefficient of Lascoux polynomials.
Discrete mathematics,
346 (2023) 2, 113217 Bibtex [DOI] [ARXIV] Repository Open Access
Czapliński, A. ; Michałek, M. and Seynnaeve, T.:
Uniform matrix product states from an algebraic geometer's point of view.
Advances in applied mathematics,
142 (2023), 102417 Bibtex MIS-Preprint: 38/2019 [DOI] [ARXIV] Repository Open Access
Colmenarejo, L. ; Diehl, J. and Sorea, M.-S.:
A quadratic identity in the shuffle algebra and an alternative proof for de Bruijn's
formula.
European journal of combinatorics,
99 (2022), 103406 Bibtex [DOI] [ARXIV] Repository Open Access
Belotti, M. ; Joswig, M. and Panizzut, M.:
Algebraic degrees of 3-dimensional polytopes.
Vietnam journal of mathematics,
50 (2022) 3, p. 581-597 Bibtex [DOI] [ARXIV] Journal Open Access
Lim, L.-H. ; Michałek, M. and Qi, Y.:
Best \(k\)-layer neural network approximations.
Constructive approximation,
55 (2022) 1, p. 583-604 Bibtex MIS-Preprint: 55/2019 [DOI] [ARXIV] Repository Open Access
Khadam, M. A.
and Vodička, M.:
Cohen-Macaulay and Gorenstein tangential varieties of the Segre-Veronese varieties.
The bulletin of the London Mathematical Society,
54 (2022) 5, p. 1721-1740 Bibtex [DOI] [ARXIV] Journal Open Access
Khovanskii, A. ; Limonchenko, I. and Monin, L.:
Cohomology rings of quasitoric bundles.
Filomat,
36 (2022) 19, p. 6513-6537 Bibtex [DOI] [ARXIV] Journal Open Access
Vodička, M.:
Combinatorial methods in algebraic geometry.
Dissertation, Universität Konstanz, 2022 Bibtex
Görlach, P. ; Ren, Y. and Zhang, L.:
Computing zero-dimensional tropical varieties via projections.
Computational complexity,
31 (2022) 1, 5 Bibtex MIS-Preprint: 79/2019 [DOI] [ARXIV] [CODELINK] Journal Open Access
Heal, K. ; Kulkarni, A. and Sertöz, E. C.
:
Deep learning Gauss-Manin connections.
Advances in applied Clifford algebras,
32 (2022) 2, 24 Bibtex [DOI] [ARXIV] Journal Open Access
Breiding, P. ; Hodges, R. ; Ikenmeyer, C. and Michałek, M.:
Equations for GL invariant families of polynomials.
Vietnam journal of mathematics,
50 (2022) 2, p. 545-556 Bibtex [DOI] [ARXIV] Journal Open Access
Cameron, A. ; Dinu, R. ; Michałek, M. and Seynnaeve, T.:
Flag matroids : algebra and geometry.
Interactions with lattice polytopes : Magdeburg, Germany, September 2017 / A.
M. Kasprzyk... (eds.). Springer, 2022. - P. 73-114
(Springer proceedings in mathematics and statistics ; 386)
Bibtex MIS-Preprint: 93/2018 [DOI] [ARXIV] Repository Open Access
Limonchenko, I. ; Monin, L. and Khovanskii, A.:
Generalized virtual polytopes and quasitoric manifolds.
Trudy Matematiceskogo Instituta Imeni V. A. Steklova,
318 (2022), p. 139-165 Bibtex [DOI] [ARXIV] Repository Open Access
Limonchenko, I. ; Monin, L. and Khovanskii, A.:
Generalized virtual polytopes and quasitoric manifolds [Translation from Tr. Mat.
Inst. Steklova 318, 139-165 (2022)].
Proceedings of the Steklov Institute of Mathematics,
318 (2022) 1, p. 126-149 Bibtex [DOI] [ARXIV] Repository Open Access
Kohn, K. ; Merkh, T. ; Montúfar, G. and Trager, M.:
Geometry of linear convolutional networks.
SIAM journal on applied algebra and geometry,
6 (2022) 3, p. 368-406 Bibtex [DOI] [ARXIV] Journal Open Access
D'Alì, A. ; Delucchi, E. and Michałek, M.:
Many faces of symmetric edge polytopes.
The electronic journal of combinatorics,
29 (2022) 3, P3.24 Bibtex [DOI] [ARXIV] Journal Open Access
Agostini, D. ; Celik, T. #.
and Eken, D.:
Numerical reconstruction of curves from their Jacobians.
Arithmetic, geometry, cryptography, and coding theory 2021 : 18th international conference
; May 31-June 4, 2021 Centre International de Rencontres Mathématiques, Marseille,
France / S.
Anni... (eds.). American Mathematical Society, 2022. - P. 1-12
(Contemporary mathematics ; 779)
Bibtex [DOI] [ARXIV] Repository Open Access
Kozhasov, K. ; Michałek, M. and Sturmfels, B.:
Positivity certificates via integral representations.
Facets of algebraic geometry : a collection in honor of William Fulton's 80th birthday
; Volume 2 / P.
Aluffi... (eds.). Cambridge University Press, 2022. - P. 84-114 Bibtex MIS-Preprint: 66/2019 [DOI] [ARXIV] Repository Open Access
Conner, A. ; Gesmundo, F. ; Landsberg, J. M. and Ventura, E.:
Rank and border rank of Kronecker powers of tensors and Strassen's laser method.
Computational complexity,
31 (2022) 1, 1 Bibtex [DOI] [ARXIV] Journal Open Access
Agostini, D. ; Markwig, H. ; Nollau, C. ; Schleis, V. ; Sendra-Arranz, J. and Sturmfels, B.:
Recovery of plane curves from branch points.
Bibtex [ARXIV] [CODELINK] Repository Open Access
Breiding, P. ; Michałek, M. ; Monin, L. and Telen, S.:
The algebraic degree of coupled oscillators.
Bibtex [ARXIV] Repository Open Access
Ardila-Mantilla, F. ; Eur, C. and Penaguiao, R.:
The tropical critical points of an affine matroid.
Bibtex [ARXIV] Repository Open Access
Agostini, D. ; Fevola, C. ; Sattelberger, A.-L. and Telen, S.:
Vector spaces of generalized Euler integrals.
Bibtex [ARXIV] [CODELINK] Repository Open Access
Kohn, K. ; Piene, R. ; Ranestad, K. ; Rydell, F. ; Shapiro, B. ; Sinn, R. ; Sorea, M.-S. and Telen, S.:
Adjoints and canonical forms of polypols.
Bibtex [ARXIV] [CODELINK] Repository Open Access
Görlach, P. ; Lehn, C. and Sattelberger, A.-L.:
Algebraic analysis of the hypergeometric function \(\,{_1F_{\!\!\;1}}\,\) of a matrix
argument.
Beiträge zur Algebra und Geometrie,
62 (2021) 2, p. 397-427 Bibtex [DOI] [ARXIV] Journal Open Access
Christandl, M. ; Gesmundo, F. ; Michałek, M. and Zuiddam, J.:
Border rank non-additivity for higher order tensors.
SIAM journal on matrix analysis and applications,
42 (2021) 2, p. 503-527 Bibtex [DOI] [ARXIV] Repository Open Access
Agostini, D. and Chua, L.:
Computing theta functions with Julia.
Journal of software for algebra and geometry,
11 (2021) 1, p. 41-51 Bibtex [DOI] [ARXIV] Journal Open Access
Joswig, M. ; Panizzut, M. and Sturmfels, B.:
Correction to [updated to open access] : 'The Schläfli fan' [In: Discrete and
computational geometry, 64 (2020) 2, p. 355-381].
Discrete and computational geometry,
66 (2021) 4, p. 1217-1217 Bibtex [DOI] Journal Open Access
Görlach, P. ; Ren, Y. and Sommars, J.:
Detecting tropical defects of polynomial equations.
Journal of algebraic combinatorics,
53 (2021) 1, p. 31-47 Bibtex [DOI] [ARXIV] [CODELINK] Journal Open Access
Costa, E. and Sertöz, E. C.
:
Effective obstruction to lifting Tate classes from positive characteristic.
Arithmetic geometry, number theory, and computation / J.
S. Balakrishnan (ed.). Springer, 2021. - P. 293-333
(Simons Symposia)
Bibtex MIS-Preprint: 45/2020 [DOI] [ARXIV] Repository Open Access
Duryev, E. and Monin, L.:
Eigenforms of hyperelliptic curves with many automorphisms.
Bibtex [ARXIV] Repository Open Access
Dinu, R. ; Michałek, M. and Vodička, M.:
Geometry of the Gaussian graphical model of the cycle.
Bibtex [ARXIV] Repository Open Access
Khovanskii, A. and Monin, L.:
Gorenstein algebras and toric bundles.
Bibtex [ARXIV] Repository Open Access
Hibi, T. ; Lasoń, M. ; Matsuda, K. ; Michałek, M. and Vodička, M.:
Gorenstein graphic matroids.
Israel journal of mathematics,
243 (2021) 1, p. 1-26 Bibtex MIS-Preprint: 22/2020 [DOI] [ARXIV] Repository Open Access
Dinu, R. and Vodička, M.:
Gorenstein property for phylogenetic trivalent trees.
Journal of algebra,
575 (2021), p. 233-255 Bibtex [DOI] [ARXIV] Repository Open Access
Michałek, M. and Sturmfels, B.:
Invitation to nonlinear algebra.
American Mathematical Society, 2021. - 226 p.
(Graduate studies in mathematics ; 211)
ISBN 978-1-4704-5367-1 Bibtex [CODELINK]
Kohn, K. and Mathews, J.:
Isotropic and coisotropic subvarieties of Grassmannians.
Advances in mathematics,
377 (2021), 107492 Bibtex [DOI] [ARXIV] Repository Open Access
Dinu, R. ; Eur, C. and Seynnaeve, T.:
K-theoretic Tutte polynomials of morphisms of matroids.
Journal of combinatorial theory / A,
181 (2021), 105414 Bibtex [DOI] [ARXIV] Repository Open Access
Baletti, G. ; Panizzut, M. and Sturmfels, B.:
K3 polytopes and their quartic surfaces.
Advances in geometry,
21 (2021) 1, p. 85-98 Bibtex MIS-Preprint: 40/2018 [DOI] [ARXIV] Repository Open Access
Jiang, Y. ; Kohn, K. and Winter, R.:
Linear spaces of symmetric matrices with non-maximal maximum likelihood degree.
Le Matematiche,
76 (2021) 2, p. 461-481 Bibtex [DOI] [ARXIV] Journal Open Access
Michałek, M. ; Monin, L. and Wiśniewski, J.:
Maximum likelihood degree, complete quadrics and \({\mathbb C}^*\)-action.
SIAM journal on applied algebra and geometry,
5 (2021) 1, p. 60-85 Bibtex [DOI] [ARXIV] [CODELINK] Repository Open Access
Dye, S. ; Kohn, K. ; Rydell, F. and Sinn, R.:
Maximum likelihood estimation for nets of conics.
Le Matematiche,
76 (2021) 2, p. 399-414 Bibtex [DOI] [ARXIV] Journal Open Access
Agostini, D. ; Améndola, C. and Ranestad, K.:
Moment identifiability of homoscedastic Gaussian mixtures.
Foundations of computational mathematics,
21 (2021) 3, p. 695-724 Bibtex [DOI] [ARXIV] Journal Open Access
Cid-Ruiz, Y. ; Mohammadi, F. and Monin, L.:
Multigraded algebras and multigraded linear series.
Bibtex [ARXIV] Repository Open Access
Vodička, M.:
Normality of the Kimura 3-parameter model.
SIAM journal on discrete mathematics,
35 (2021) 3, p. 1536-1547 Bibtex [DOI] [ARXIV] Repository Open Access
Agostini, D. ; Celik, T. #.
and Little, J. B.:
On algebraic theta divisors and rational solutions of the KP equation.
Bibtex [ARXIV] Repository Open Access
Movasati, H. and Sertöz, E. C.
:
On reconstructing subvarieties from their periods.
Rendiconti del Circolo Matematico di Palermo,
70 (2021) 3, p. 1441-1457 Bibtex [DOI] [ARXIV] Journal Open Access
Agostini, D. and Chua, L.:
On the Schottky problem for genus-five Jacobians with a vanishing theta null.
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze,
22 (2021) 1, p. 333-350 Bibtex [DOI] [ARXIV] Repository Open Access
Agostini, D. and Barros, I.:
Pencils on surfaces with normal crossings and the Kodaira dimension of \(\overline{\mathcal{M}}_{g,n}\).
Forum of mathematics / Sigma,
9 (2021), e31 Bibtex [DOI] [ARXIV] [CODELINK] Journal Open Access
Boege, T. ; Coons, J. I.
; Eur, C. ; Maraj, A. and Röttger, F.:
Reciprocal maximum likelihood degrees of Brownian motion tree models.
Le Matematiche,
76 (2021) 2, p. 383-398 Bibtex [DOI] [ARXIV] Journal Open Access
Eur, C. ; Fife, T. ; Samper, J. A.
and Seynnaeve, T.:
Reciprocal maximum likelihood degrees of diagonal linear concentration models.
Le Matematiche,
76 (2021) 2, p. 447-459 Bibtex MIS-Preprint: 108/2020 [DOI] [ARXIV] Journal Open Access
D'Alì, A. and Delucchi, E.:
Stanley-Reisner rings for symmetric simplicial complexes, G-semimatroids and Abelian
arrangements.
Journal of combinatorial algebra,
5 (2021) 3, p. 185-236 Bibtex MIS-Preprint: 32/2018 [DOI] [ARXIV] Journal Open Access
Agostini, D. ; Celik, T. #.
and Sturmfels, B.:
The Dubrovin threefold of an algebraic curve.
Nonlinearity,
34 (2021) 6, p. 3783-3812 Bibtex [DOI] [ARXIV] Repository Open Access
Agostini, D.:
The Martens-Mumford theorem and the Green-Lazarsfeld secant conjecture.
Bibtex [ARXIV] Repository Open Access
Améndola, C. ; Gustafsson, L. ; Kohn, K. ; Marigliano, O. and Seigal, A.:
The maximum likelihood degree of linear spaces of symmetric matrices.
Le Matematiche,
76 (2021) 2, p. 535-557 Bibtex [DOI] [ARXIV] Journal Open Access
Agostini, D. ; Celik, T. #.
; Struwe, J. and Sturmfels, B.:
Theta surfaces.
Vietnam journal of mathematics,
49 (2021) 2, p. 319-347 Bibtex [DOI] [ARXIV] [FREELINK] Journal Open Access
Mohammadi, F. ; Monin, L. and Parisi, M.:
Triangulations and canonical forms of amplituhedra : a fiber-based approach beyond
polytopes.
Communications in mathematical physics,
387 (2021) 2, p. 927-972 Bibtex [DOI] [ARXIV] Repository Open Access
Seynnaeve, T.:
Algebraic geometry for tensor networks, matrix multiplication, and flag matroids.
Dissertation, Universität Leipzig, 2020 Bibtex [FREELINK] Repository Open Access
Panizzut, M. ; Sertöz, E. C.
and Sturmfels, B.:
An octanomial model for cubic surfaces.
Le Matematiche,
75 (2020) 2, p. 517-536 Bibtex [DOI] [ARXIV] [CODELINK] Journal Open Access
Michałek, M.:
Book review: 'Geometry and complexity theory', by J. M. Landsberg, Cambridge University
Press, 2017.
Bulletin of the American Mathematical Society,
57 (2020) 2, p. 317-324 Bibtex [DOI] Journal Open Access
De Poi, P. ; Mezzetti, E. ; Michałek, M. ; Miró-Roig, R. M.
and Nevo, E.:
Circulant matrices and Galois-Togliatti systems.
Journal of pure and applied algebra,
224 (2020) 11, 106404 Bibtex MIS-Preprint: 74/2018 [DOI] [ARXIV] Repository Open Access
Vodička, M. ; Manivel, L. ; Michałek, M. ; Monin, L. and Seynnaeve, T.:
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].
Oberwolfach reports,
17 (2020) 4, p. 1577-1579 Bibtex [DOI] [FREELINK] Repository Open Access
Qi, Y. ; Michałek, M. and Lim, L.-H.:
Complex best \(r\)-term approximations almost always exist in finite dimensions.
Applied and computational harmonic analysis,
49 (2020) 1, p. 180-207 Bibtex MIS-Preprint: 79/2017 [DOI] [ARXIV] Repository Open Access
Dey, P. ; Görlach, P. and Kaihnsa, N.:
Coordinate-wise powers of algebraic varieties.
Beiträge zur Algebra und Geometrie,
61 (2020) 3, p. 473-505 Bibtex MIS-Preprint: 46/2018 [DOI] [ARXIV] Journal Open Access
Kohn, K. ; Shapiro, B. and Sturmfels, B.:
Moment varieties of measures on polytopes.
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze,
21 (2020), p. 739-770 Bibtex MIS-Preprint: 50/2018 [DOI] [ARXIV] Repository Open Access
Lasoń, M. and Michałek, M.:
On algebraic properties of matroid polytopes.
Bibtex [ARXIV] Repository Open Access
Duff, T. ; Kohn, K. ; Leykin, A. and Pajdla, T.:
PL\(_{1}\)P - point-line minimal problems under partial visibility in three views.
Computer vision - ECCV 2020 ; 16th european conference, Glasgow, UK, August 23-28,
2020 ; proceedings, Part XXVI / A.
Vedaldi... (eds.). Springer, 2020. - P. 175-192
(Lecture notes in computer science ; 12371)
Bibtex [DOI] [ARXIV] Repository Open Access
Görlach, P.:
Projective geometry, toric algebra and tropical computations.
Dissertation, Universität Leipzig, 2020 Bibtex [FREELINK] Repository Open Access
Bruin, N. and Sertöz, E. C.
:
Prym varieties of genus four curves.
Transactions of the American Mathematical Society,
373 (2020) 1, p. 149-183 Bibtex MIS-Preprint: 72/2018 [DOI] [ARXIV] Repository Open Access
Khadam, M. A.
; Michałek, M. and Zwiernik, P.:
Secant varieties of toric varieties arising from simplicial complexes.
Linear algebra and its applications,
588 (2020), p. 428-457 Bibtex MIS-Preprint: 81/2019 [DOI] [ARXIV] Repository Open Access
Colmenarejo, L. and Preiß, R.:
Signatures of paths transformed by polynomial maps.
Beiträge zur Algebra und Geometrie,
61 (2020) 4, p. 695-717 Bibtex [DOI] [ARXIV] Repository Open Access
Michałek, M. ; Monin, L. and Wiśniewski, J.:
The Gaussian moduli [Supplementary resources to 'Maximum likelihood degree, complete
quadrics and C*-action'].
Bibtex [ARXIV] [CODELINK] Repository Open Access
Dinu, R. and Seynnaeve, T.:
The Hessian discriminant.
Le Matematiche,
75 (2020) 2, p. 595-610 Bibtex MIS-Preprint: 88/2019 [DOI] [ARXIV] [CODELINK] Journal Open Access
Joswig, M. ; Panizzut, M. and Sturmfels, B.:
The Schläfli fan.
Discrete and computational geometry,
64 (2020) 2, p. 355-381 Bibtex MIS-Preprint: 41/2019 [DOI] [ARXIV] Journal Open Access
Colmenarejo, L. ; Galuppi, F. and Michałek, M.:
Toric geometry of path signature varieties.
Advances in applied mathematics,
121 (2020), 102102 Bibtex MIS-Preprint: 28/2019 [DOI] [ARXIV] Repository Open Access
Donten-Bury, M. ; Görlach, P. and Wrobel, M.:
Towards classifying toric degenerations of cubic surfaces.
Le Matematiche,
75 (2020) 2, p. 537-557 Bibtex MIS-Preprint: 90/2019 [DOI] [ARXIV] [CODELINK] Journal Open Access
Huang, H. ; Michałek, M. and Ventura, E.:
Vanishing Hessian, wild forms and their border VSP.
Mathematische Annalen,
378 (2020) 3/4, p. 1505-1532 Bibtex MIS-Preprint: 2/2020 [DOI] [ARXIV] Journal Open Access
Sertöz, E. C.
:
A compactification of the moduli space of multiple-spin curves.
Bibtex [ARXIV] Repository Open Access
Lairez, P. and Sertöz, E. C.
:
A numerical transcendental method in algebraic geometry : computation of Picard groups
and related invariants.
SIAM journal on applied algebra and geometry,
3 (2019) 4, p. 559-584 Bibtex MIS-Preprint: 100/2018 [DOI] [ARXIV] [FREELINK] Journal Open Access
Michałek, M. ; Seynnaeve, T. and Verstraete, F.:
A tensor version of the quantum Wielandt theorem.
SIAM journal on matrix analysis and applications,
40 (2019) 3, p. 1125-1130 Bibtex MIS-Preprint: 96/2018 [DOI] [ARXIV] Journal Open Access
Vodička, M. and Zlatoš, P.:
A uniform stability principle for dual lattices.
Journal of logic and analysis,
11 (2019), 2 Bibtex [ARXIV] [FREELINK] Journal Open Access
Higashitani, A. ; Jochemko, K. and Michałek, M.:
Arithmetic aspects of symmetric edge polytopes.
Mathematika : a journal of pure and applied mathematics,
65 (2019) 3, p. 763-784 Bibtex MIS-Preprint: 59/2018 [DOI] [ARXIV] Repository Open Access
Michałek, M.:
Can local cohomology prevent injections? [In: Singularities and homological aspects
of commutative algebra ; 10 February - 16 February 2019 ; report no. 6/2019].
Oberwolfach reports,
16 (2019) 1, p. 443-445 Bibtex [DOI] [FREELINK] Repository Open Access
Harris, C. ; Michałek, M. and Sertöz, E. C.
:
Computing images of polynomial maps.
Advances in computational mathematics,
45 (2019) 5/6, p. 2845-2865 Bibtex MIS-Preprint: 2/2018 [DOI] [ARXIV] Journal Open Access
Sertöz, E. C.
:
Computing periods of hypersurfaces.
Mathematics of computation,
88 (2019) 320, p. 2987-3022 Bibtex MIS-Preprint: 27/2018 [DOI] [ARXIV] Repository Open Access
Agostini, D. and Améndola, C.:
Discrete Gaussian distributions via theta functions.
SIAM journal on applied algebra and geometry,
3 (2019) 1, p. 1-30 Bibtex [DOI] [ARXIV] Repository Open Access
Görlach, P.:
Injection dimensions of projective varieties.
Bibtex MIS-Preprint: 40/2019 [ARXIV] Repository Open Access
Michałek, M. and Ventura, E.:
Phylogenetic complexity of the Kimura 3-parameter model.
Advances in mathematics,
343 (2019), p. 640-680 Bibtex MIS-Preprint: 27/2017 [DOI] [ARXIV] Repository Open Access
Michałek, M. and Shitov, Y.:
Quantum version of Wielandt's inequality revisited.
IEEE transactions on information theory,
65 (2019) 8, p. 5239-5242 Bibtex MIS-Preprint: 79/2018 [DOI] [ARXIV] Repository Open Access
Görlach, P. ; Hubert, E. and Papadopoulo, T.:
Rational invariants of even ternary forms under the orthogonal group.
Foundations of computational mathematics,
19 (2019) 6, p. 1315-1361 Bibtex MIS-Preprint: 45/2017 [DOI] [ARXIV] Repository Open Access
Beck, M. ; Haase, C. ; Higashitani, A. ; Hofscheier, J. ; Jochemko, K. ; Katthän, L. and Michałek, M.:
Smooth centrally symmetric polytopes in dimension 3 are IDP.
Annals of combinatorics,
23 (2019) 2, p. 255-262 Bibtex MIS-Preprint: 18/2018 [DOI] [ARXIV] Repository Open Access
Michałek, M. ; Higashitani, A. ; Jochemko, K. and Kummer, M.:
Symmetric edge polytopes [In: Toric geometry ; 22 September - 28 September 2019 ;
report no. 43/2019].
Oberwolfach reports,
16 (2019) 3, p. 2710-2711 Bibtex [DOI] [FREELINK] Repository Open Access
Vodička, M. and Zlatoš, P.:
The finite embeddability property for IP loops and local embeddability of groups into
finite IP loops.
Ars mathematica contemporanea,
17 (2019) 2, p. 535-554 Bibtex [DOI] [ARXIV] Journal Open Access
Boege, T. ; D'Alì, A. ; Kahle, T. and Sturmfels, B.:
The geometry of Gaussoids.
Foundations of computational mathematics,
19 (2019) 4, p. 775-812 Bibtex MIS-Preprint: 70/2017 [DOI] [ARXIV] Repository Open Access
Donten-Bury, M. ; Görlach, P. and Wrobel, M.:
Toric degenerations of cubic surfaces [Supplementary resources to 'Towards classifying
toric degenerations of cubic surfaces'].
Bibtex [ARXIV] [CODELINK] Repository Open Access
Landsberg, J. M. and Michałek, M.:
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 MIS-Preprint: 1/2020 [ARXIV] Repository Open Access
Katthän, L. ; Michałek, M. and Miller, E.:
When is a polynomial ideal binomial after an ambient automorphism?.
Foundations of computational mathematics,
19 (2019) 6, p. 1363-1385 Bibtex MIS-Preprint: 36/2017 [DOI] [ARXIV] Journal Open Access
Hauenstein, J. ; Kulkarni, A. ; Sertöz, E. C.
and Sherman, S.:
Certifying reality of projections.
Mathematical software ICMS 2018 : 6th international conference, South Bend, IN, USA,
July 24-27, 2018, proceedings / J.
Davenport... (eds.). Springer, 2018. - P. 200-208
(Lecture notes in computer science ; 10931)
Bibtex MIS-Preprint: 31/2018 [DOI] [ARXIV] Repository Open Access
Colmenarejo, L. ; Dunkl, C. F. and Luque, J.-G.:
Factorizations of symmetric Macdonald polynomials.
Symmetry,
10 (2018) 11, 541 Bibtex [DOI] [ARXIV] Journal Open Access
Michałek, M. ; Perepechko, A. and Süß, H.:
Flexible affine cones and flexible coverings.
Mathematische Zeitschrift,
290 (2018) 3-4, p. 1457-1478 Bibtex [DOI] [ARXIV] Journal Open Access
Buczyński, J. ; Michałek, M. and Postinghel, E.:
Introduction to 'Schubert varieties, equivariant cohomology and characteristic classes,
IMPANGA15 volume'.
Schubert varieties, equivariant cohomology and characteristic classes : impanga 15 / J.
Buczyński... (eds.). European Mathematical Society, 2018. - P. 1-7
(EMS series of congress reports)
Bibtex [DOI]
Kahle, T. and Michałek, M.:
Obstructions to combinatorial formulas for plethysm.
The electronic journal of combinatorics,
25 (2018) 1, P1.41 Bibtex [DOI] [ARXIV] Journal Open Access
Seynnaeve, T.:
Plethysm and fast matrix multiplication.
Comptes rendus mathematique,
356 (2018) 1, p. 52-55 Bibtex MIS-Preprint: 67/2017 [DOI] [ARXIV] Repository Open Access
Buczyński, J. ; Michałek, M. and Postinghel, E. (eds.):
Schubert varieties, equivariant cohomology and characteristic classes : impanga 15.
European Mathematical Society, 2018. - VI, 348 p.
(EMS series of congress reports)
ISBN 978-3-03719-182-8 Bibtex [DOI]
Michałek, M.:
Selected topics on toric varieties.
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 / T.
Hibi (ed.). Mathematical Society of Japan, 2018. - P. 207-252
(Advanced studies in pure mathematics ; 77)
Bibtex [DOI] [ARXIV] Repository Open Access
Michałek, M. and Moon, H.:
Spaces of sums of powers and real rank boundaries.
Beiträge zur Algebra und Geometrie,
59 (2018) 4, p. 645-663 Bibtex MIS-Preprint: 9/2017 [DOI] [ARXIV] Journal Open Access
Michałek, M. and Sturmfels, B.:
Tensoren und ihre Zerlegungen.
Jahrbuch der Max-Planck-Gesellschaft,
2018 (2018), Forschungsbericht - Max-Planck-Institut für Mathematik in den Naturwissenschaften Bibtex [FREELINK] Repository Open Access
Gubeladze, J. and Michałek, M.:
The poset of rational cones.
Pacific journal of mathematics,
292 (2018) 1, p. 103-115 Bibtex [DOI] [ARXIV] Repository Open Access
Higashitani, A. ; Kummer, M. and Michałek, M.:
Interlacing Ehrhart polynomials of reflexive polytopes.
Selecta mathematica,
23 (2017) 4, p. 2977-2998 Bibtex MIS-Preprint: 7/2017 [DOI] [ARXIV] Journal Open Access
Landsberg, J. M. and Michałek, M.:
On the geometry of border rank decompositions for matrix multiplication and other
tensors with symmetry.
SIAM journal on applied algebra and geometry,
1 (2017) 1, p. 2-19 Bibtex [DOI] [ARXIV] Journal Open Access
