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

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

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, Vol. not yet known, pp. not yet known 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

Kühne, L. and Monin, L.: Faces of cosmological polytopes. Bibtex [ARXIV] Repository Open Access

Khovanskii, A. ; Limonchenko, I. and Monin, L.: Generalized virtual polytopes and quasitoric manifolds. Bibtex [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. O. 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

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

Breiding, P. ; Gesmundo, F. ; Michałek, M. and Vannieuwenhoven, N.: Algebraic compressed sensing. Bibtex [ARXIV] Repository 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

Khovanskii, A. ; Limonchenko, I. and Monin, L.: Cohomology rings of quasitoric bundles. Bibtex [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

D'Alì, A. and Venturello, L.: Koszul Gorenstein algebras from Cohen-Macaulay simplicial complexes. Bibtex [ARXIV] Repository Open Access

Agostini, D. ; Brysiewicz, T. ; Fevola, C. ; Kühne, L. ; Sturmfels, B. and Telen, S.: Likelihood degenerations. Bibtex [ARXIV] [CODELINK] 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. O. 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. O. and Sturmfels, B.: The Dubrovin threefold of an algebraic curve. Nonlinearity, 34 (2021) 6, p. 3783-3812 Bibtex [DOI] [ARXIV] Repository Open Access

Borzi, A. ; Chen, X. ; Motwani, H. J. ; Vodička, M. and Venturello, L.: The leading coefficient of Lascoux polynomials. Bibtex [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. O. ; 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

Manivel, L. ; Monin, L. ; Michałek, M. ; Seynnaeve, T. and Vodička, M.: Complete quadrics : Schubert calculus for Gaussian models and semidefinite programming. Bibtex MIS-Preprint: 107/2020 [ARXIV] [CODELINK] 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

Agostini, D. ; Barros, I. and Lai, K.-W.: On the irrationality of moduli spaces of K3 surfaces. 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

Cameron, A. ; Dinu, R. ; Michałek, M. and Seynnaeve, T.: Flag matroids : algebra and geometry. Bibtex MIS-Preprint: 93/2018 [ARXIV] Repository 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

D'Alì, A.: The Koszul property for spaces of quadrics of codimension three. Journal of algebra, 490 (2017), p. 256-282 Bibtex [DOI] [ARXIV] Repository Open Access

Agostini, D. ; Alberelli, D. ; Grande, F. and Lella, P.: The maximum likelihood degree of Fermat hypersurfaces. Journal of algebraic statistics, 6 (2015) 2, p. 108-132 Bibtex [DOI] [ARXIV] Repository Open Access
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