Borovik, Viktoriia; Breiding, Paul; del Pino, Javier; Michałek, Mateusz; Zilberberg, Oded Khovanskii bases for semimixed systems of polynomial equations – approximating stationary nonlinear Newtonian dynamics. (English. French summary) Zbl 07800984 J. Math. Pures Appl. (9) 182, 195-222 (2024). MSC: 14Q99 14M25 13P10 14D06 14M20 PDFBibTeX XMLCite \textit{V. Borovik} et al., J. Math. Pures Appl. (9) 182, 195--222 (2024; Zbl 07800984) Full Text: DOI arXiv
Blomenhofer, Alexander Taveira; Casarotti, Alex; Michałek, Mateusz; Oneto, Alessandro Identifiability for mixtures of centered Gaussians and sums of powers of quadratics. (English) Zbl 07774945 Bull. Lond. Math. Soc. 55, No. 5, 2407-2424 (2023). MSC: 15A69 14N05 14Q20 14Q15 PDFBibTeX XMLCite \textit{A. T. Blomenhofer} et al., Bull. Lond. Math. Soc. 55, No. 5, 2407--2424 (2023; Zbl 07774945) Full Text: DOI arXiv OA License
Michałek, Mateusz Enumerative geometry meets statistics, combinatorics, and topology. (English) Zbl 1522.14068 Notices Am. Math. Soc. 70, No. 4, 588-597 (2023). MSC: 14N10 13P25 05E16 57R20 PDFBibTeX XMLCite \textit{M. Michałek}, Notices Am. Math. Soc. 70, No. 4, 588--597 (2023; Zbl 1522.14068) Full Text: DOI arXiv
Czapliński, Adam; Michałek, Mateusz; Seynnaeve, Tim Uniform matrix product states from an algebraic geometer’s point of view. (English) Zbl 1500.15021 Adv. Appl. Math. 142, Article ID 102417, 25 p. (2023). MSC: 15A69 81P40 14J81 PDFBibTeX XMLCite \textit{A. Czapliński} et al., Adv. Appl. Math. 142, Article ID 102417, 25 p. (2023; Zbl 1500.15021) Full Text: DOI arXiv
Conner, Austin; Han, Kangjin; Michałek, Mateusz Sullivant-Talaska ideal of the cyclic Gaussian Graphical Model. arXiv:2308.05561 Preprint, arXiv:2308.05561 [math.AG] (2023). MSC: 62R01 13P10 13P25 05A10 05C30 14M12 14M20 14N10 BibTeX Cite \textit{A. Conner} et al., ``Sullivant-Talaska ideal of the cyclic Gaussian Graphical Model'', Preprint, arXiv:2308.05561 [math.AG] (2023) Full Text: arXiv OA License
Conner, Austin; Michalek, Mateusz; Schindler, Michael; Szendroi, Balazs Polynomial systems admitting a simultaneous solution. arXiv:2306.02085 Preprint, arXiv:2306.02085 [math.AC] (2023). MSC: 14A25 13P10 BibTeX Cite \textit{A. Conner} et al., ``Polynomial systems admitting a simultaneous solution'', Preprint, arXiv:2306.02085 [math.AC] (2023) Full Text: arXiv OA License
Cameron, Amanda; Dinu, Rodica; Michałek, Mateusz; Seynnaeve, Tim Flag matroids: algebra and geometry. (English) Zbl 1515.05041 Kasprzyk, Alexander M. (ed.) et al., Interactions with lattice polytopes. Selected papers based on the presentations at the workshop, Magdeburg, Germany, September 14–16, 2017. Cham: Springer. Springer Proc. Math. Stat. 386, 73-114 (2022). MSC: 05B35 14M15 19K35 14M25 13F55 13F65 52B40 PDFBibTeX XMLCite \textit{A. Cameron} et al., Springer Proc. Math. Stat. 386, 73--114 (2022; Zbl 1515.05041) Full Text: DOI arXiv
Homs, Roser; Jelisiejew, Joachim; Michałek, Mateusz; Seynnaeve, Tim Bounds on complexity of matrix multiplication away from Coppersmith-Winograd tensors. (English) Zbl 1523.15018 J. Pure Appl. Algebra 226, No. 12, Article ID 107142, 16 p. (2022). MSC: 15A69 15A75 14Q20 PDFBibTeX XMLCite \textit{R. Homs} et al., J. Pure Appl. Algebra 226, No. 12, Article ID 107142, 16 p. (2022; Zbl 1523.15018) Full Text: DOI arXiv
Kozhasov, Khazhgali; Michałek, Mateusz; Sturmfels, Bernd Positivity certificates via integral representations. (English) Zbl 1492.14107 Aluffi, Paolo (ed.) et al., Facets of algebraic geometry. A collection in honor of William Fulton’s 80th birthday. Volume 2. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 473, 84-114 (2022). MSC: 14Q30 14P99 PDFBibTeX XMLCite \textit{K. Kozhasov} et al., Lond. Math. Soc. Lect. Note Ser. 473, 84--114 (2022; Zbl 1492.14107) Full Text: DOI arXiv Link
Vill, Julian; Michałek, Mateusz; Taveira Blomenhofer, Alexander Ideals of spaces of degenerate matrices. (English) Zbl 1495.15038 Linear Algebra Appl. 648, 56-69 (2022). Reviewer: Alessandra Bernardi (Trento) MSC: 15A69 15A30 15A72 14Q20 14J45 13P10 65H14 PDFBibTeX XMLCite \textit{J. Vill} et al., Linear Algebra Appl. 648, 56--69 (2022; Zbl 1495.15038) Full Text: DOI arXiv
Breiding, Paul; Hodges, Reuven; Ikenmeyer, Christian; Michałek, Mateusz Equations for GL invariant families of polynomials. (English) Zbl 1485.14110 Vietnam J. Math. 50, No. 2, 545-556 (2022). MSC: 14Q15 14M20 20G05 PDFBibTeX XMLCite \textit{P. Breiding} et al., Vietnam J. Math. 50, No. 2, 545--556 (2022; Zbl 1485.14110) Full Text: DOI arXiv
Lasoń, Michał; Michałek, Mateusz A note on seminormality of cut polytopes. (English) Zbl 1487.13044 SIAM J. Discrete Math. 36, No. 1, 114-117 (2022). Reviewer: Mitra Koley (Kolkata) MSC: 13F65 05C70 05C83 05C15 52B10 13F45 05C10 14M25 PDFBibTeX XMLCite \textit{M. Lasoń} and \textit{M. Michałek}, SIAM J. Discrete Math. 36, No. 1, 114--117 (2022; Zbl 1487.13044) Full Text: DOI arXiv
Hibi, Takayuki; Lasoń, Michał; Matsuda, Kazunori; Michałek, Mateusz; Vodička, Martin Gorenstein graphic matroids. (English) Zbl 1471.05019 Isr. J. Math. 243, No. 1, 1-26 (2021). MSC: 05B35 52B40 14M05 PDFBibTeX XMLCite \textit{T. Hibi} et al., Isr. J. Math. 243, No. 1, 1--26 (2021; Zbl 1471.05019) Full Text: DOI arXiv
Michałek, Mateusz; Sturmfels, Bernd Invitation to nonlinear algebra. (English) Zbl 1477.14001 Graduate Studies in Mathematics 211. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6551-3/pbk; 978-1-4704-6308-3/ebook). xiii, 226 p. (2021). Reviewer: Jorge Neves (Coimbra) MSC: 14-01 05-XX 13-01 14Txx 20Cxx 52-XX 90C22 PDFBibTeX XMLCite \textit{M. Michałek} and \textit{B. Sturmfels}, Invitation to nonlinear algebra. Providence, RI: American Mathematical Society (AMS) (2021; Zbl 1477.14001)
Christandl, M.; Gesmundo, F.; Michałek, M.; Zuiddam, J. Border rank nonadditivity for higher order tensors. (English) Zbl 1464.14055 SIAM J. Matrix Anal. Appl. 42, No. 2, 503-527 (2021). Reviewer: Luca Chiantini (Siena) MSC: 14N07 15A69 PDFBibTeX XMLCite \textit{M. Christandl} et al., SIAM J. Matrix Anal. Appl. 42, No. 2, 503--527 (2021; Zbl 1464.14055) Full Text: DOI arXiv
Michałek, Mateusz; Monin, Leonid; Wiśniewski, Jarosław A. Maximum likelihood degree, complete quadrics, and \(\mathbb{C}^*\)-action. (English) Zbl 1461.62228 SIAM J. Appl. Algebra Geom. 5, No. 1, 60-85 (2021). MSC: 62R01 62F12 60G15 14M15 14M17 14N10 14E05 14C17 14Q15 PDFBibTeX XMLCite \textit{M. Michałek} et al., SIAM J. Appl. Algebra Geom. 5, No. 1, 60--85 (2021; Zbl 1461.62228) Full Text: DOI arXiv
Dinu, Rodica Andreea; Michałek, Mateusz; Seynnaeve, Tim Applications of intersection theory: from maximum likelihood to chromatic polynomials. arXiv:2111.02057 Preprint, arXiv:2111.02057 [math.AG] (2021). MSC: 14C17 14N10 14Q20 62R01 14M17 14E05 14M15 14Q15 BibTeX Cite \textit{R. A. Dinu} et al., ``Applications of intersection theory: from maximum likelihood to chromatic polynomials'', Preprint, arXiv:2111.02057 [math.AG] (2021) Full Text: arXiv OA License
Conner, Austin; Michałek, Mateusz Characteristic numbers and chromatic polynomial of a tensor. arXiv:2111.00809 Preprint, arXiv:2111.00809 [math.AG] (2021). MSC: 15A69 14Q20 14Q65 BibTeX Cite \textit{A. Conner} and \textit{M. Michałek}, ``Characteristic numbers and chromatic polynomial of a tensor'', Preprint, arXiv:2111.00809 [math.AG] (2021) Full Text: arXiv OA License
Colmenarejo, Laura; Galuppi, Francesco; Michałek, Mateusz Toric geometry of path signature varieties. (English) Zbl 1467.14149 Adv. Appl. Math. 121, Article ID 102102, 35 p. (2020). Reviewer: Felipe Zaldívar (Ciudad de México) MSC: 14Q15 14M25 60H99 PDFBibTeX XMLCite \textit{L. Colmenarejo} et al., Adv. Appl. Math. 121, Article ID 102102, 35 p. (2020; Zbl 1467.14149) Full Text: DOI arXiv
Huang, Hang; Michałek, Mateusz; Ventura, Emanuele Vanishing Hessian, wild forms and their border VSP. (English) Zbl 1448.14004 Math. Ann. 378, No. 3-4, 1505-1532 (2020). Reviewer: Scott Nollet (Fort Worth) MSC: 14C05 15A69 PDFBibTeX XMLCite \textit{H. Huang} et al., Math. Ann. 378, No. 3--4, 1505--1532 (2020; Zbl 1448.14004) Full Text: DOI arXiv
De Poi, Pietro; Mezzetti, Emilia; Michałek, Mateusz; Miró-Roig, Rosa Maria; Nevo, Eran Circulant matrices and Galois-Togliatti systems. (English) Zbl 1442.13050 J. Pure Appl. Algebra 224, No. 11, Article ID 106404, 13 p. (2020). Reviewer: Juan C. Migliore (Notre Dame) MSC: 13E10 14M25 15B05 PDFBibTeX XMLCite \textit{P. De Poi} et al., J. Pure Appl. Algebra 224, No. 11, Article ID 106404, 13 p. (2020; Zbl 1442.13050) Full Text: DOI arXiv
Khadam, M. Azeem; Michałek, Mateusz; Zwiernik, Piotr Secant varieties of toric varieties arising from simplicial complexes. (English) Zbl 1443.14055 Linear Algebra Appl. 588, 428-457 (2020). Reviewer: Luca Chiantini (Siena) MSC: 14N07 14M25 PDFBibTeX XMLCite \textit{M. A. Khadam} et al., Linear Algebra Appl. 588, 428--457 (2020; Zbl 1443.14055) Full Text: DOI arXiv
Michałek, Mateusz Book review of: J. M. Landsberg, Geometry and complexity theory. (English) Zbl 1432.00017 Bull. Am. Math. Soc., New Ser. 57, No. 2, 317-324 (2020). MSC: 00A17 68-01 14-02 14Q20 68Q17 68Q25 68W30 PDFBibTeX XMLCite \textit{M. Michałek}, Bull. Am. Math. Soc., New Ser. 57, No. 2, 317--324 (2020; Zbl 1432.00017) Full Text: DOI
Manivel, Laurent; Michałek, Mateusz; Monin, Leonid; Seynnaeve, Tim; Vodička, Martin Complete quadrics: Schubert calculus for Gaussian models and semidefinite programming. arXiv:2011.08791 Preprint, arXiv:2011.08791 [math.AG] (2020). MSC: 62R01 14M17 14N10 05E05 14C17 14E05 14M15 14Q15 60G15 BibTeX Cite \textit{L. Manivel} et al., ``Complete quadrics: Schubert calculus for Gaussian models and semidefinite programming'', Preprint, arXiv:2011.08791 [math.AG] (2020) Full Text: arXiv OA License
Lasoń, Michał; Michałek, Mateusz On algebraic properties of matroid polytopes. arXiv:2005.08359 Preprint, arXiv:2005.08359 [math.CO] (2020). MSC: 05B35 05E40 13H10 14M25 BibTeX Cite \textit{M. Lasoń} and \textit{M. Michałek}, ``On algebraic properties of matroid polytopes'', Preprint, arXiv:2005.08359 [math.CO] (2020) Full Text: arXiv OA License
Harris, Corey; Michałek, Mateusz; Sertöz, Emre Can Computing images of polynomial maps. (English) Zbl 1436.14099 Adv. Comput. Math. 45, No. 5-6, 2845-2865 (2019). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 14Q15 68U05 15A69 PDFBibTeX XMLCite \textit{C. Harris} et al., Adv. Comput. Math. 45, No. 5--6, 2845--2865 (2019; Zbl 1436.14099) Full Text: DOI arXiv
Katthän, Lukas; Michałek, Mateusz; Miller, Ezra When is a polynomial ideal binomial after an ambient automorphism? (English) Zbl 1429.13010 Found. Comput. Math. 19, No. 6, 1363-1385 (2019). Reviewer: Nil Şahin (Ankara) MSC: 13A50 13F20 13F65 14L30 14L40 14M25 14Q20 68W30 14D06 PDFBibTeX XMLCite \textit{L. Katthän} et al., Found. Comput. Math. 19, No. 6, 1363--1385 (2019; Zbl 1429.13010) Full Text: DOI arXiv
Buczyński, Jarosław; Januszkiewicz, Tadeusz; Jelisiejew, Joachim; Michałek, Mateusz Constructions of \(k\)-regular maps using finite local schemes. (English) Zbl 1418.53005 J. Eur. Math. Soc. (JEMS) 21, No. 6, 1775-1808 (2019). MSC: 53A07 57R42 14C05 13H10 PDFBibTeX XMLCite \textit{J. Buczyński} et al., J. Eur. Math. Soc. (JEMS) 21, No. 6, 1775--1808 (2019; Zbl 1418.53005) Full Text: DOI arXiv
Michałek, Mateusz; Ventura, Emanuele Phylogenetic complexity of the Kimura 3-parameter model. (English) Zbl 1412.14031 Adv. Math. 343, 640-680 (2019). Reviewer: Christos Tatakis (Mitilini) MSC: 14M25 13P25 52B20 05C90 92E10 92D15 PDFBibTeX XMLCite \textit{M. Michałek} and \textit{E. Ventura}, Adv. Math. 343, 640--680 (2019; Zbl 1412.14031) Full Text: DOI arXiv
Landsberg, J. M.; Michałek, Mateusz Towards finding hay in a haystack: explicit tensors of border rank greater than \(2.02m\) in \(C^m\otimes C^m\otimes C^m\). arXiv:1912.11927 Preprint, arXiv:1912.11927 [cs.CC] (2019). MSC: 15A69 14L35 68Q15 BibTeX Cite \textit{J. M. Landsberg} and \textit{M. Michałek}, ``Towards finding hay in a haystack: explicit tensors of border rank greater than $2.02m$ in $C^m\otimes C^m\otimes C^m$'', Preprint, arXiv:1912.11927 [cs.CC] (2019) Full Text: arXiv OA License
Michałek, Mateusz Selected topics on toric varieties. (English) Zbl 1411.14057 Hibi, Takayuki (ed.), The 50th anniversary of Gröbner bases. Proceedings of the 8th Mathematical Society of Japan-Seasonal Institute (MSJ-SI 2015), Osaka, Japan, July 1–10, 2015. Tokyo: Mathematical Society of Japan (MSJ). Adv. Stud. Pure Math. 77, 207-252 (2018). MSC: 14M25 13P25 13F55 05E40 PDFBibTeX XMLCite \textit{M. Michałek}, Adv. Stud. Pure Math. 77, 207--252 (2018; Zbl 1411.14057) Full Text: arXiv
Landsberg, Joseph M.; Michałek, Mateusz A \(2\mathbf{n}^2-\log_2(\mathbf{n})-1\) lower bound for the border rank of matrix multiplication. (English) Zbl 1431.15003 Int. Math. Res. Not. 2018, No. 15, 4722-4733 (2018). Reviewer: Maria Chiara Brambilla (Ancona) MSC: 15A03 15A69 14Q20 68Q17 68Q25 PDFBibTeX XMLCite \textit{J. M. Landsberg} and \textit{M. Michałek}, Int. Math. Res. Not. 2018, No. 15, 4722--4733 (2018; Zbl 1431.15003) Full Text: DOI arXiv
Michałek, Mateusz; Moon, Hyunsuk Spaces of sums of powers and real rank boundaries. (English) Zbl 1403.14090 Beitr. Algebra Geom. 59, No. 4, 645-663 (2018). Reviewer: Hans-Peter Schröcker (Innsbruck) MSC: 14P10 51N35 PDFBibTeX XMLCite \textit{M. Michałek} and \textit{H. Moon}, Beitr. Algebra Geom. 59, No. 4, 645--663 (2018; Zbl 1403.14090) Full Text: DOI arXiv
Michałek, Mateusz; Perepechko, Alexander; Süß, Hendrik Flexible affine cones and flexible coverings. (English) Zbl 1408.14199 Math. Z. 290, No. 3-4, 1457-1478 (2018). Reviewer: Roberto Munoz (Madrid) MSC: 14R20 14J50 PDFBibTeX XMLCite \textit{M. Michałek} et al., Math. Z. 290, No. 3--4, 1457--1478 (2018; Zbl 1408.14199) Full Text: DOI arXiv Link
Buczyński, Jarosław; Michałek, Mateusz; Postinghel, Elisa Introduction to “Schubert varieties, equivariant cohomology and characteristic classes, IMPANGA15 volume”. (English) Zbl 1387.14006 Buczyński, Jarosław (ed.) et al., Schubert varieties, equivariant cohomology and characteristic classes. Impanga 15. Selected papers of the Impanga seminar, Będlewo, Poland, April 12–18, 2015 and notes from the major lecture series of the seminar in the period 2010–2015. A tribute to Friedrich Hirzebruch. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-182-8/hbk; 978-3-03719-682-3/ebook). EMS Series of Congress Reports, 1-7 (2018). MSC: 14-03 01A61 PDFBibTeX XMLCite \textit{J. Buczyński} et al., in: Schubert varieties, equivariant cohomology and characteristic classes. Impanga 15. Selected papers of the Impanga seminar, Będlewo, Poland, April 12--18, 2015 and notes from the major lecture series of the seminar in the period 2010--2015. A tribute to Friedrich Hirzebruch. Zürich: European Mathematical Society (EMS). 1--7 (2018; Zbl 1387.14006)
Buczyński, Jarosław (ed.); Michałek, Mateusz (ed.); Postinghel, Elisa (ed.) Schubert varieties, equivariant cohomology and characteristic classes. Impanga 15. Selected papers of the Impanga seminar, Będlewo, Poland, April 12–18, 2015 and notes from the major lecture series of the seminar in the period 2010–2015. A tribute to Friedrich Hirzebruch. (English) Zbl 1382.14002 EMS Series of Congress Reports. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-182-8/hbk; 978-3-03719-682-3/ebook). vi, 348 p. (2018). MSC: 14-06 14L10 14M15 14J27 32M10 32M15 00B25 PDFBibTeX XMLCite \textit{J. Buczyński} (ed.) et al., Schubert varieties, equivariant cohomology and characteristic classes. Impanga 15. Selected papers of the Impanga seminar, Będlewo, Poland, April 12--18, 2015 and notes from the major lecture series of the seminar in the period 2010--2015. A tribute to Friedrich Hirzebruch. Zürich: European Mathematical Society (EMS) (2018; Zbl 1382.14002) Full Text: DOI
Landsberg, J. M.; Michałek, Mateusz Abelian tensors. (English. French summary) Zbl 1386.14191 J. Math. Pures Appl. (9) 108, No. 3, 333-371 (2017). Reviewer: Rick Rischter (Itajubá) MSC: 14N05 14L30 15A69 PDFBibTeX XMLCite \textit{J. M. Landsberg} and \textit{M. Michałek}, J. Math. Pures Appl. (9) 108, No. 3, 333--371 (2017; Zbl 1386.14191) Full Text: DOI arXiv
Michałek, Mateusz; Miller, Chris Examples of \(k\)-regular maps and interpolation spaces. (English) Zbl 1375.14203 Linear Algebra Appl. 530, 94-108 (2017). Reviewer: Tadeusz Krasiński (Łódź) MSC: 14R10 41A05 32E30 PDFBibTeX XMLCite \textit{M. Michałek} and \textit{C. Miller}, Linear Algebra Appl. 530, 94--108 (2017; Zbl 1375.14203) Full Text: DOI arXiv
Lasoń, Michał; Michałek, Mateusz Non-normal very ample polytopes – constructions and examples. (English) Zbl 1375.52013 Exp. Math. 26, No. 2, 130-137 (2017). Reviewer: Matthias Beck (San Francisco) MSC: 52B20 14M25 05E40 PDFBibTeX XMLCite \textit{M. Lasoń} and \textit{M. Michałek}, Exp. Math. 26, No. 2, 130--137 (2017; Zbl 1375.52013) Full Text: DOI arXiv
Michałek, Mateusz; Moon, Hyunsuk; Sturmfels, Bernd; Ventura, Emanuele Real rank geometry of ternary forms. (English) Zbl 1390.14179 Ann. Mat. Pura Appl. (4) 196, No. 3, 1025-1054 (2017). Reviewer: Piotr Pokora (Kraków) MSC: 14P10 51N35 PDFBibTeX XMLCite \textit{M. Michałek} et al., Ann. Mat. Pura Appl. (4) 196, No. 3, 1025--1054 (2017; Zbl 1390.14179) Full Text: DOI arXiv
Landsberg, J. M.; Michałek, Mateusz On the geometry of border rank decompositions for matrix multiplication and other tensors with symmetry. (English) Zbl 1365.15034 SIAM J. Appl. Algebra Geom. 1, No. 1, 2-19 (2017). MSC: 15A69 15A03 15A15 14Q20 14M17 PDFBibTeX XMLCite \textit{J. M. Landsberg} and \textit{M. Michałek}, SIAM J. Appl. Algebra Geom. 1, No. 1, 2--19 (2017; Zbl 1365.15034) Full Text: DOI arXiv
Michałek, Mateusz; Ventura, Emanuele Finite phylogenetic complexity and combinatorics of tables. (English) Zbl 1374.14041 Algebra Number Theory 11, No. 1, 235-252 (2017). Reviewer: Michael R. DiPasquale (Stillwater) MSC: 14M25 52B20 13P25 PDFBibTeX XMLCite \textit{M. Michałek} and \textit{E. Ventura}, Algebra Number Theory 11, No. 1, 235--252 (2017; Zbl 1374.14041) Full Text: DOI arXiv
Michałek, Mateusz Finite phylogenetic complexity of \(\mathbb{Z}_p\) and invariants for \(\mathbb{Z}_3\). (English) Zbl 1375.13049 Eur. J. Comb. 59, 169-186 (2017). Reviewer: Marcel Morales (Saint-Martin-d’Hères) MSC: 13P25 92D15 14M25 62M05 14Q20 PDFBibTeX XMLCite \textit{M. Michałek}, Eur. J. Comb. 59, 169--186 (2017; Zbl 1375.13049) Full Text: DOI arXiv
Michałek, Mateusz; Miró-Roig, Rosa M. Smooth monomial Togliatti systems of cubics. (English) Zbl 1369.13028 J. Comb. Theory, Ser. A 143, 66-87 (2016). Reviewer: Alessandro Gimigliano (Bologna) MSC: 13E10 14M25 PDFBibTeX XMLCite \textit{M. Michałek} and \textit{R. M. Miró-Roig}, J. Comb. Theory, Ser. A 143, 66--87 (2016; Zbl 1369.13028) Full Text: DOI arXiv
Michałek, Mateusz; Sturmfels, Bernd; Uhler, Caroline; Zwiernik, Piotr Exponential varieties. (English) Zbl 1345.14048 Proc. Lond. Math. Soc. (3) 112, No. 1, 27-56 (2016). Reviewer: Michael R. DiPasquale (Stillwater) MSC: 14M99 52A20 62E99 65C60 PDFBibTeX XMLCite \textit{M. Michałek} et al., Proc. Lond. Math. Soc. (3) 112, No. 1, 27--56 (2016; Zbl 1345.14048) Full Text: DOI arXiv
Beck, Matthias; Delgado, Jessica; Gubeladze, Joseph; Michałek, Mateusz Very ample and Koszul segmental fibrations. (English) Zbl 1331.52020 J. Algebr. Comb. 42, No. 1, 165-182 (2015). Reviewer: Oleg Karpenkov (Liverpool) MSC: 52B20 14M25 13P10 PDFBibTeX XMLCite \textit{M. Beck} et al., J. Algebr. Comb. 42, No. 1, 165--182 (2015; Zbl 1331.52020) Full Text: DOI arXiv
Michałek, Mateusz Toric varieties in phylogenetics. (English) Zbl 1375.14175 Diss. Math. 511, 86 p. (2015). MSC: 14M25 13P25 52B20 PDFBibTeX XMLCite \textit{M. Michałek}, Diss. Math. 511, 86 p. (2015; Zbl 1375.14175) Full Text: DOI
Michałek, Mateusz; Oeding, Luke; Zwiernik, Piotr Secant cumulants and toric geometry. (English) Zbl 1346.14127 Int. Math. Res. Not. 2015, No. 12, 4019-4063 (2015). MSC: 14N05 14M25 14M10 13P10 13P25 PDFBibTeX XMLCite \textit{M. Michałek} et al., Int. Math. Res. Not. 2015, No. 12, 4019--4063 (2015; Zbl 1346.14127) Full Text: DOI arXiv
Manivel, Laurent; Michałek, Mateusz Secants of minuscule and cominuscule minimal orbits. (English) Zbl 1329.14097 Linear Algebra Appl. 481, 288-312 (2015). Reviewer: Edoardo Ballico (Povo) MSC: 14M15 15A69 PDFBibTeX XMLCite \textit{L. Manivel} and \textit{M. Michałek}, Linear Algebra Appl. 481, 288--312 (2015; Zbl 1329.14097) Full Text: DOI arXiv
Casanellas, Marta; Fernández-Sánchez, Jesús; Michałek, Mateusz Low degree equations for phylogenetic group-based models. (English) Zbl 1332.92040 Collect. Math. 66, No. 2, 203-225 (2015). MSC: 92D15 05C90 20K99 14H99 PDFBibTeX XMLCite \textit{M. Casanellas} et al., Collect. Math. 66, No. 2, 203--225 (2015; Zbl 1332.92040) Full Text: DOI arXiv Link
Casanellas, M.; Fernández-Sánchez, J.; Michałek, M. Complete intersection for equivariant models. arXiv:1512.07174 Preprint, arXiv:1512.07174 [math.AG] (2015). MSC: 92D15 14H10 60J20 BibTeX Cite \textit{M. Casanellas} et al., ``Complete intersection for equivariant models'', Preprint, arXiv:1512.07174 [math.AG] (2015) Full Text: arXiv OA License
Lasoń, Michał; Michałek, Mateusz On the toric ideal of a matroid. (English) Zbl 1297.14055 Adv. Math. 259, 1-12 (2014). Reviewer: Thanh Vu (Lincoln) MSC: 14M25 13F55 PDFBibTeX XMLCite \textit{M. Lasoń} and \textit{M. Michałek}, Adv. Math. 259, 1--12 (2014; Zbl 1297.14055) Full Text: DOI arXiv
Michałek, Mateusz Toric geometry of the 3-Kimura model for any tree. (English) Zbl 1300.14051 Adv. Geom. 14, No. 1, 11-30 (2014). Reviewer: Kaie Kubjas (Aalto) MSC: 14M25 52B20 13P25 92D15 PDFBibTeX XMLCite \textit{M. Michałek}, Adv. Geom. 14, No. 1, 11--30 (2014; Zbl 1300.14051) Full Text: DOI arXiv
Michałek, Mateusz Constructive degree bounds for group-based models. (English) Zbl 1316.14098 J. Comb. Theory, Ser. A 120, No. 7, 1672-1694 (2013). MSC: 14M25 92B10 92D15 PDFBibTeX XMLCite \textit{M. Michałek}, J. Comb. Theory, Ser. A 120, No. 7, 1672--1694 (2013; Zbl 1316.14098) Full Text: DOI arXiv
Buczyńska, Weronika; Buczyński, Jarosław; Kubjas, Kaie; Michałek, Mateusz On the graph labellings arising from phylogenetics. (English) Zbl 1282.14087 Cent. Eur. J. Math. 11, No. 9, 1577-1592 (2013). Reviewer: Ignacio García Marco (Montpellier Cedex) MSC: 14M25 20M14 20M05 52B20 13P25 14D21 PDFBibTeX XMLCite \textit{W. Buczyńska} et al., Cent. Eur. J. Math. 11, No. 9, 1577--1592 (2013; Zbl 1282.14087) Full Text: DOI arXiv
Michałek, Mateusz Birational maps between Calabi-Yau manifolds associated to webs of quadrics. (English) Zbl 1276.14010 J. Algebra 370, 186-197 (2012). Reviewer: Valentino Tosatti (Evanston) MSC: 14C21 14E05 14J32 32Q25 PDFBibTeX XMLCite \textit{M. Michałek}, J. Algebra 370, 186--197 (2012; Zbl 1276.14010) Full Text: DOI arXiv
Michałek, Mateusz Notes on Kebekus’ lectures on differential forms on singular spaces. (English) Zbl 1260.14020 Pragacz, Piotr (ed.), Contributions to algebraic geometry. Impanga lecture notes. Based on the Impanga conference on algebraic geometry, Banach Center, Bȩdlewo, Poland, July 4–10, 2010. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-114-9/hbk). EMS Series of Congress Reports, 375-388 (2012). Reviewer: Andreas Höring (Mons-en-Baroeul) MSC: 14F10 14E30 PDFBibTeX XMLCite \textit{M. Michałek}, in: Contributions to algebraic geometry. Impanga lecture notes. Based on the Impanga conference on algebraic geometry, Banach Center, Bȩdlewo, Poland, July 4--10, 2010. Zürich: European Mathematical Society (EMS). 375--388 (2012; Zbl 1260.14020) Full Text: DOI
Michałek, Mateusz Geometry of phylogenetic group-based models. (English) Zbl 1251.14040 J. Algebra 339, No. 1, 339-356 (2011). Reviewer: Oskar Kedzierski (Warszawa) MSC: 14M25 92B10 92D15 62P10 PDFBibTeX XMLCite \textit{M. Michałek}, J. Algebra 339, No. 1, 339--356 (2011; Zbl 1251.14040) Full Text: DOI arXiv
Lasoń, Michał; Michałek, Mateusz On the full, strongly exceptional collections on toric varieties with Picard number three. (English) Zbl 1238.14039 Collect. Math. 62, No. 3, 275-296 (2011). Reviewer: Andreas Hochenegger (Köln) MSC: 14M25 14F05 14J45 PDFBibTeX XMLCite \textit{M. Lasoń} and \textit{M. Michałek}, Collect. Math. 62, No. 3, 275--296 (2011; Zbl 1238.14039) Full Text: DOI arXiv
Michałek, Mateusz Family of counterexamples to King’s conjecture. (Familie de contre-exemples à la conjecture de King.) (English) Zbl 1211.14056 C. R., Math., Acad. Sci. Paris 349, No. 1-2, 67-69 (2011). Reviewer: Oskar Kedzierski (Warszawa) MSC: 14M25 14F05 PDFBibTeX XMLCite \textit{M. Michałek}, C. R., Math., Acad. Sci. Paris 349, No. 1--2, 67--69 (2011; Zbl 1211.14056) Full Text: DOI arXiv
Dey, Arijit; Lasoń, Michał; Michałek, Mateusz Derived category of toric varieties with Picard number three. (English) Zbl 1207.14025 Matematiche 64, No. 2, 99-116 (2009). Reviewer: Maria Chiara Brambilla (Ancona) MSC: 14F05 14J60 PDFBibTeX XMLCite \textit{A. Dey} et al., Matematiche 64, No. 2, 99--116 (2009; Zbl 1207.14025) Full Text: arXiv Link