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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Differential equations, geometry and physics

2012/05/B/ST1/03195

Keywords:

holomorphic foliations center problem normal forms of vector fields spectrum of a singularity knot invariants hypergeometric equations multiple zeta values Lotka-Volterra system Euler-Poisson system Painleve equations quantum physics

Descriptors:

  • ST1_10: Ordinary differential equations and dynamical systems
  • ST1_5: Geometry
  • ST1_12: Mathematical methods of physics

Panel:

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

Host institution :

Uniwersytet Warszawski, Wydział Matematyki Informatyki i Mechaniki

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Henryk Żołądek 

Number of co-investigators in the project: 9

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

Amount awarded: 307 000 PLN

Project start date (Y-m-d): 2013-02-06

Project end date (Y-m-d): 2016-02-05

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

Project status: Project settled

Equipment purchased [PL]

  1. komputery osobiste (2 szt.) (8 000 PLN)

Information in the final report

  • Publication in academic press/journals (19)
  • Book publications / chapters in book publications (2)
  1. A note on a topological approach to the \mu=constant conjecture in dimension 2
    Authors:
    Maciej Borodzik, Stefan Friedl
    Academic press:
    Revista Matematica Compultense (rok: 2014, tom: 27, strony: 345--350), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s13163-013-0122-6 - link to the publication
  2. Embedded Morse theory and relative splitting of cobordisms of manifolds
    Authors:
    Maciej Borodzik and Mark Powell
    Academic press:
    Journal of Geometric Analysis (rok: 2016, tom: 26, strony: 57-87), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s12220-014-9638-6 - link to the publication
  3. Lattice tilings of Z^d by translated integer sublatticces
    Authors:
    Maciej Borodzik, Danny Nguyen and Sinai Robins
    Academic press:
    Moscow Journal of Combinatorial Number Theory (rok: 2016, tom: 6, strony: 3--26), Wydawca: Moscow Mathematical Society
    Status:
    Published
    DOI:
    brak - link to the publication
  4. Temporal condensation and dynamic lambda-transition within the complex network: an application to real-life market evolution
    Authors:
    Mateusz Wiliński, Bartłomiej Szewczak, Tomasz Gubiec, Ryszard Kutner, Zbigniew R. Struzik
    Academic press:
    The European Physical Journal B (rok: 2015, tom: 3,69027777777778, strony: 45306), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1140/epjb/e2014-50167-4 - link to the publication
  5. The normal forms for germs of vector fields with quadratic leading part. The polynomial first integral case
    Authors:
    Ewa Stróżyna
    Academic press:
    Journal of Differential Equations (rok: 2015, tom: 259, strony: 6718-6748), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2015.08.006 - link to the publication
  6. Birkhoff normalization, bifurcations of Hamiltonian vector fields and the Deprits formula
    Authors:
    Weronika Barwicz, Mateusz Wiliński, Henryk Żołądek
    Academic press:
    Journal of Fixed Point Theory and Applications (rok: 2013, tom: 13, strony: 587-610), Wydawca: Birkhauser
    Status:
    Published
    DOI:
    10.1007/s11784-013-0136-1 - link to the publication
  7. Melnikov functions in quadratic perturbations of generalized Lotka-Volterra systems
    Authors:
    Henryk Żołądek
    Academic press:
    Journal of Dynamical and Control Systems (rok: 2015, tom: 21, strony: 573-603), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10883-015-9282-7 - link to the publication
  8. Plane algebraic curves of arbitrary genus via Heegard Floer homology
    Authors:
    Maciej Borodzik, Matthew Hedden and Charles Livingston
    Academic press:
    Commentari Mathematici Helvetici (rok: 2017, tom: 92, strony: 215--256), Wydawca: Swiss Mathematical Society
    Status:
    Published
    DOI:
    10.4171/CMH/411 - link to the publication
  9. The average signature of graph links
    Authors:
    Maciej Borodzik, Jadwiga Sosnowska
    Academic press:
    Forum Mathematicum (rok: 2015, tom: 27, strony: 1132--1156), Wydawca: Walter de Gruyter
    Status:
    Published
    DOI:
    10.1515/forum-2013-0075 - link to the publication
  10. Twierdzenia Ponceleta w interpretacji Rafała Kołodzieja
    Authors:
    Henryk Żołądek
    Academic press:
    Wiadomości Matematyczne (rok: 2013, tom: 49, strony: 29-45), Wydawca: Polskie Towarzystwo Matematyczne
    Status:
    Published
    DOI:
    brak - link to the publication
  11. On the algebraic unknotting number
    Authors:
    Maciej Borodzik, Stefan Friedl
    Academic press:
    Transactions of the London Mathematical Society (rok: 2014, tom: 1, strony: 57 - 84), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/tlms/tlu004 - link to the publication
  12. On the semicontinuity of the mod 2 spectrum of hypersurface singularities
    Authors:
    Maciej Borodzik, Andras Nemethi and Andrew Ranicki
    Academic press:
    Journal of Algebraic Geometry (rok: 2015, tom: 24, strony: 379-398), Wydawca: University Press, Inc.
    Status:
    Published
    DOI:
    S - link to the publication
  13. Painleve equations, elliptic integrals and elementary functions
    Authors:
    Galina Filipuk, Henryk Żołądek
    Academic press:
    Journal of Differential Equations (rok: 2015, tom: 258, strony: 1303 - 1355), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.018 - link to the publication
  14. Solutions to some singular nonlinear boundary value problems
    Authors:
    Beata Medak, Alexey Treat'yakov, Henryk Żołądek
    Academic press:
    Topological Methods in Nonlinear Analysis (rok: 2013, tom: 41, strony: 255-265), Wydawca: Centrum Badań Nieliniowych im. Schaudera przy UMK w Toruniu
    Status:
    Published
    DOI:
    brak - link to the publication
  15. The Hodge spectrum of analytic germs on isolated surface singularities
    Authors:
    Maciej Borodzik, Andras Nemethi
    Academic press:
    Journal de Mathematiques Pures et Appliques (rok: 2015, tom: 103, strony: 1132-1156), Wydawca: Gauthier-Villars/Elsevier
    Status:
    Published
    DOI:
    10.007 - link to the publication
  16. The normal forms for germs of vector fields with quadratic leading part. The remaining cases
    Authors:
    Ewa Stróżyna
    Academic press:
    Studia Mathematica (rok: 2017, tom: 239, strony: 133--173), Wydawca: Institute of Mathematics, Polish Academy of Sciences
    Status:
    Published
    DOI:
    10.4064/sm8627-2-2017 - link to the publication
  17. Heegard Floer homology and rational cuspidal curves
    Authors:
    Maciej Borodzik, Charles Livingston
    Academic press:
    Forum of Mathematics, Sigma (rok: 2014, tom: 2, strony: brak), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/fms.2014.28 - link to the publication
  18. The Poncelet theorems in intepretation of Rafał Kołodziej
    Authors:
    Henryk Żołądek
    Academic press:
    Geometric Methods in Physics XXXV. Workshop and Summer School, Białowieża, Poland, June 26 --July 2, 2016 (rok: 2018, tom: brak, strony: 129--144), Wydawca: Birkhauser
    Status:
    Published
    DOI:
    10.1007/978-3-319-63594-1 - link to the publication
  19. Remark on localization of zeroes of the Bessel functions with half integer index
    Authors:
    Henryk Żołądek
    Academic press:
    Computational Mathematics and Mathematical Physics (rok: 2014, tom: brak, strony: brak), Wydawca: Springer/Russian Academy of Sciences
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  1. The CD45 case revisited
    Authors:
    Henryk Żołądek
    Book:
    Interdisciplinary Mathematical Research and Applications. In Honor of Professor Rousseau (rok: 2016, tom: brak, strony: 595--625), Wydawca: Springer
    Status:
    Published
  2. Multiple Zeta Values and the WKB method
    Authors:
    Michał Zakrzewski, Henryk Żołądek
    Book:
    Analytic nad Algebraic Geometry (rok: 2013, tom: brak, strony: 155-201), Wydawca: Wydawnictwo Uniwersytetu Łódzkiego
    Status:
    Published

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