Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Toric ideals associated to matroids, groups, trees, and other combinatorial problems

2015/19/D/ST1/01180

Keywords:

toric ideal matroid group phylogenetic tree

Descriptors:

  • ST1_14: Discrete mathematics and combinatorics
  • ST1_2: Algebra
  • ST1_4: Algebraic and complex geometry

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Instytut Matematyczny Polskiej Akademii Nauk

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Michał Lasoń 

Number of co-investigators in the project: 4

Call: SONATA 10 - announced on 2015-09-15

Amount awarded: 257 000 PLN

Project start date (Y-m-d): 2016-07-07

Project end date (Y-m-d): 2019-07-06

Project duration:: 36 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Equipment purchased [PL]

  1. Przenośny komputer typu laptop wraz z oprogramowaniem (5 000 PLN)

Information in the final report

  • Publication in academic press/journals (8)
  • Articles in post-conference publications (1)
  1. Arithmetic aspects of symmetric edge polytopes
    Authors:
    Akihiro Higashitani, Katharina Jochemko, Mateusz Michałek
    Academic press:
    Mathematika (rok: 2019, tom: 65, strony: 763-784), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1112/S0025579319000147 - link to the publication
  2. Gorenstein graphic matroids
    Authors:
    Takayuki Hibi, Michał Lasoń, Kazunori Matsuda, Mateusz Michałek, Martin Vodicka
    Academic press:
    Israel Journal of Mathematics (rok: 2020, tom: -, strony: ), Wydawca: Springer
    Status:
    Accepted for publication
    DOI:
    - - link to the publication
  3. Circulant matrices and Galois-Togliatti systems
    Authors:
    Pietro De Poi, Emilia Mezzetti, Mateusz Michałek, Rosa Maria Miró-Roig, Eran Nevo
    Academic press:
    Journal of Pure and Applied Algebra (rok: 2020, tom: 224, strony: 106404), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2020.106404 - link to the publication
  4. Finite phylogenetic complexity and combinatorics of tables
    Authors:
    Mateusz Michałek, Emanuele Ventura
    Academic press:
    Algebra & Number Theory (rok: 2017, tom: 11, strony: 235-252), Wydawca: Mathematical Sciences Publishers
    Status:
    Published
    DOI:
    10.2140/ant.2017.11.235 - link to the publication
  5. Phylogenetic complexity of the Kimura 3-parameter model
    Authors:
    Mateusz Michałek, Emanuele Ventura
    Academic press:
    Advances in Mathematics (rok: 2019, tom: 343, strony: 640-680), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2018.11.021 - link to the publication
  6. On algebraic properties of matroid polytopes
    Authors:
    Michał Lasoń, Mateusz Michałek
    Academic press:
    - (rok: 2020, ), Wydawca: -
    Status:
    Submitted
    DOI:
    - - link to the publication
  7. On the toric ideals of matroids of a fixed rank
    Authors:
    Michał Lasoń
    Academic press:
    - (rok: 2019, ), Wydawca: -
    Status:
    Submitted
    DOI:
    - - link to the publication
  8. Smooth centrally symmetric polytopes in dimension 3 are IDP
    Authors:
    Matthias Beck, Christian Haase, Akihiro Higashitani, Johannes Hofscheier, Katharina Jochemko, Lukas Katthän, Mateusz Michałek
    Academic press:
    Annals of Combinatorics (rok: 2019, tom: 23, strony: 255-262), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00026-019-00418-x - link to the publication
  1. Flag matroids: algebra and geometry
    Authors:
    Amanda Cameron, Rodica Dinu, Mateusz Michałek, Tim Seynnaeve
    Conference:
    Interactions with Lattice Polytopes (rok: 2019, ), Wydawca: Springer
    Data:
    konferencja 14-16.09.2017
    Status:
    Accepted for publication

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