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Former Research Group

Combinatorial Algebraic Geometry

The main topics examined by the group were:

  1. toric geometry and its relations to phylogenetics and tensors
  2. secant varieties with a view towards tensor decompositions and tensor rank
  3. geometric approach to fast matrix multiplication
  4. combinatorial aspects of polytopes and relations to algebra
  5. application of local algebraic methods in topological problems
Research Group Leader
01.01.17 30.09.20

Mateusz Michałek

Universität Konstanz
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Publications

inJournal
2024
Laurent Manivel et al.

Complete quadrics : Schubert calculus for Gaussian models and semidefinite programming

In: Journal of the European Mathematical Society

BibTex

 DOI: 10.4171/JEMS/1330 ArXiv: 2011.08791

MiS Preprint

 Code: mathrepo.mis.mpg.de
inJournal
2023
Alessio Borzì et al.

The leading coefficient of Lascoux polynomials

In: Discrete mathematics

BibTex

 DOI: 10.1016/j.disc.2022.113217 ArXiv: 2106.13104
inJournal
2023
Adam Czapliński et al.

Uniform matrix product states from an algebraic geometer's point of view

In: Advances in applied mathematics

BibTex

 DOI: 10.1016/j.aam.2022.102417 ArXiv: 1904.07563

MiS Preprint
inBook
2022
Amanda Cameron et al.

Flag matroids : algebra and geometry

In: Interactions with lattice polytopes : Magdeburg, Germany, September 2017

BibTex

 DOI: 10.1007/978-3-030-98327-7_4 ArXiv: 1811.00272

MiS Preprint
inJournal
2022
Laura Colmenarejo et al.

A quadratic identity in the shuffle algebra and an alternative proof for de Bruijn's formula

In: European journal of combinatorics

BibTex

 DOI: 10.1016/j.ejc.2021.103406 ArXiv: 2003.01574
inJournal
2022
Austin Conner et al.

Rank and border rank of Kronecker powers of tensors and Strassen's laser method

In: Computational complexity

BibTex

 DOI: 10.1007/s00037-021-00217-y ArXiv: 1909.04785
inJournal
2022
Paul Görlach et al.

Computing zero-dimensional tropical varieties via projections

In: Computational complexity

BibTex

 DOI: 10.1007/s00037-022-00222-9 ArXiv: 1908.03486

MiS Preprint

 Code: mathrepo.mis.mpg.de
inJournal
2022
Kathryn Heal et al.

Deep learning Gauss-Manin connections

In: Advances in applied Clifford algebras

BibTex

 DOI: 10.1007/s00006-022-01207-1 ArXiv: 2007.13786
inJournal
2022
Muhammad Azeem Khadam et al.

Cohen-Macaulay and Gorenstein tangential varieties of the Segre-Veronese varieties

In: The bulletin of the London Mathematical Society

BibTex

 DOI: 10.1112/blms.12652 ArXiv: 2012.14476
Academic
2022
Martin Vodička

Combinatorial methods in algebraic geometry

Dissertation, Universität Konstanz

BibTex

 Link: nbn-resolving.de
inJournal
2021
Tobias Boege et al.

Reciprocal maximum likelihood degrees of Brownian motion tree models

In: Le Matematiche

BibTex

 DOI: 10.4418/2021.76.2.6 ArXiv: 2009.11849
inBook
2021
Edgar Costa et al.

Effective obstruction to lifting Tate classes from positive characteristic

In: Arithmetic geometry, number theory, and computation

BibTex

 DOI: 10.1007/978-3-030-80914-0_9 ArXiv: 2003.11037

MiS Preprint
Preprint
2021
Rodica Dinu et al.

Geometry of the Gaussian graphical model of the cycle

BibTex

 ArXiv: 2111.02937
inJournal
2021
Rodica Dinu et al.

Gorenstein property for phylogenetic trivalent trees

In: Journal of algebra

BibTex

 DOI: 10.1016/j.jalgebra.2021.02.012 ArXiv: 2003.04751
inJournal
2021
Rodica Dinu et al.

K-theoretic Tutte polynomials of morphisms of matroids

In: Journal of combinatorial theory / A

BibTex

 DOI: 10.1016/j.jcta.2021.105414 ArXiv: 2004.00112
inJournal
2021
Christopher Eur et al.

Reciprocal maximum likelihood degrees of diagonal linear concentration models

In: Le Matematiche

BibTex

 DOI: 10.4418/2021.76.2.10 ArXiv: 2011.14182

MiS Preprint
inJournal
2021
Paul Görlach et al.

Algebraic analysis of the hypergeometric function \(\,{_1F_{\!\!\;1}}\,\) of a matrix argument

In: Beiträge zur Algebra und Geometrie

BibTex

 DOI: 10.1007/s13366-020-00546-z ArXiv: 2005.06162
inJournal
2021
Paul Görlach et al.

Detecting tropical defects of polynomial equations

In: Journal of algebraic combinatorics

BibTex

 DOI: 10.1007/s10801-019-00916-4 ArXiv: 1809.03350 Code: mathrepo.mis.mpg.de
inJournal
2021
Takayuki Hibi et al.

Gorenstein graphic matroids

In: Israel journal of mathematics

BibTex

 DOI: 10.1007/s11856-021-2136-y ArXiv: 1905.05418

MiS Preprint
inJournal
2021
Mateusz Michałek et al.

Maximum likelihood degree, complete quadrics and \({\mathbb C}^*\)-action

In: SIAM journal on applied algebra and geometry

BibTex

 DOI: 10.1137/20M1335960 ArXiv: 2004.07735 Code: mathrepo.mis.mpg.de
All Group Publications
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