Projects funded by the NCN


Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Combinatorial methods in algebraic geometry and commutative algebra

2012/05/D/ST1/01063

Keywords:

Toric varieties Polytopes Derived categories Phylogenetics Matroids

Descriptors:

  • ST1_4:
  • ST1_14:
  • ST1_2:

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 Mateusz Józef Michałek 

Number of co-investigators in the project: 3

Call: SONATA 3 - announced on 2012-03-15

Amount awarded: 280 800 PLN

Project start date (Y-m-d): 2013-02-20

Project end date (Y-m-d): 2016-02-19

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

Project status: Project settled

Information in the final report

  • Publication in academic press/journals (9)
  1. Plethysm and Lattice Point Counting
    Authors:
    Thomas Kahle, Mateusz Michałek
    Academic press:
    Foundations of Computational Mathematics (rok: 2016, tom: 16, strony: 1241–1261), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10208-015-9275-7 - link to the publication
  2. Obstacles for splitting multidimensional necklaces
    Authors:
    Michał Lasoń
    Academic press:
    Proceedings of the American Mathematical Society (rok: 2015, tom: 143, strony: 4655-4668), Wydawca: AMS
    Status:
    Published
    DOI:
    10.1090/S0002-9939-2015-12611-1 - link to the publication
  3. Obstacles for splitting multidimensional necklaces
    Authors:
    Michał Lasoń
    Academic press:
    Proceedings of the American Mathematical Society (rok: 2015, tom: 143, strony: 4655-4668), Wydawca: AMS
    Status:
    Published
    DOI:
    10.1090/S0002-9939-2015-12611-1 - link to the publication
  4. Low degree equations for phylogenetic group-based models
    Authors:
    Marta Casanellas, Jesús Fernández-Sánchez, Mateusz Michałek
    Academic press:
    Collectanea Mathematica (rok: 2015, tom: 66, strony: 203-225), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s13348-014-0120-0 - link to the publication
  5. On the toric ideal of a matroid
    Authors:
    Michał Lasoń, Mateusz Michałek
    Academic press:
    Advances in Mathematics (rok: 2014, tom: 259, strony: 45669), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2014.03.004 - link to the publication
  6. Quantum jumps of normal polytopes
    Authors:
    Joseph Gubeladze, Winfried Bruns, Mateusz Michałek
    Academic press:
    Discrete and Computational Geometry (rok: 2016, tom: 56 (1), strony: 181-215), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00454-016-9773-7 - link to the publication
  7. Very ample and Koszul segmental fibrations
    Authors:
    Matthias Beck, Jessica Delgado, Joseph Gubeladze, Mateusz Michałek
    Academic press:
    Journal of algebraic combinatorics (rok: 2015, tom: 42, strony: 165-182), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10801-014-0577-7 - link to the publication
  8. Low degree equations for phylogenetic group-based models
    Authors:
    Marta Casanellas, Jesús Fernández-Sánchez, Mateusz Michałek
    Academic press:
    Collectanea Mathematica (rok: 2015, tom: 66, strony: 203-225), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s13348-014-0120-0 - link to the publication
  9. Non-normal very ample polytopes – constructions and examples
    Authors:
    Michał Lasoń, Mateusz Michałek
    Status:
    Accepted for publication