Seminaria:
Matematyka Obliczeniowa czw 16:15-17:45
sala 1016
Przetwarzanie obrazów i danych wt 11:30-13:00
sala 1146
Równania różniczkowe i zagadnienia pokrewne pt 12:15-13:45
sala 1016
Równania różniczkowe cząstkowe wt 12:15-13:45
sala 1016
dr Tomasz Kapela
pokój:2060
adres:Łojasiewicza 6, PL-30-348 Kraków, Poland
e-mail:kapela@ii.uj.edu.pl
www:http://www.ii.uj.edu.pl/~kapela/

Zainteresowania naukowe:
  • układy dynamiczne
  • układy hamiltonowskie, problem N-ciał
  • komputerowo wspierane dowody
  • topologia obliczeniowa
  • ścisłe metody numeryczne

CV light:
2009-2011 PostDoc position, team leader: Warwick TuckerUppsala University, Sweden
2005 PhD. in Computer Science. Title: ”Choreographies in the N-body problem”. Advisor: Piotr ZgliczyńskiJagiellonian University, Kraków
2001 MSc in MathematicsPedagogical University, Kraków
1999 BSc in Mathematics and Computer SciencePedagogical University, Kraków

Nagrody i stypendia:
2006Prime Minister's Award for outstanding PhD Thesis
2003Stanisław Pigoń Scholarschip for outstanding Ph.D. studentsJagiellonian University

Granty badawcze:
2012 - 2015 TOPOSYS - Topological Complex Systems,
Manager : Marian Mrozek
EU 7th Framework Programme FET proactive
2010 - 2012 Topological methods for invariant manifolds
Manager : Piotr Zgliczyński
Polish Ministry of Science and Higher Education
2006 - 2009 Computer assisted proofs in dynamics of ODEs and dissipative PDEs
Manager : Piotr Zgliczyński
Polish Ministry of Science and Higher Education
2003 - 2006 Computational topology and dynamics.
Manager : Marian Mrozek
Polish Scientific Research Commitee
2004 - 2005 Choreographies in the N-body problemPolish Scientific Research Committee
2004 - 2005Marie Curie Fellowship, 3 months scientific stay in the University of Augsburg, Germany
2003 - 2003 Marie Curie Fellowship, Trimester on Dynamical and Control Systems, Triest, Italy.

Publikacje:
  1. Tomasz Kapela, Daniel Wilczak, Piotr Zgliczyński,
    Recent advances in a rigorous computation of Poincaré maps
    Communications in Nonlinear Science and Numerical Simulation, vol. 110, 106366 (2022)
  2. Tomasz Kapela, Marian Mrozek, Daniel Wilczak, Piotr Zgliczyński,
    CAPD::DynSys: a flexible C++ toolbox for rigorous numerical analysis of dynamical systems
    Communications in Nonlinear Science and Numerical Simulation, vol. 101, 105578 (2021)
  3. Tamal Dey, Mateusz Juda, Tomasz Kapela, Jacek Kubica, Michał Lipiński, Marian Mrozek,
    Persistent Homology of Morse Decompositions in Combinatorial Dynamics
    SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, vol. 18-1, 510-530 (2019)
  4. Tomasz Kapela, Carles Simo,
    Rigorous KAM results around arbitrary periodic orbits for Hamiltonian systems
    NONLINEARITY, vol. 30(3), 965-986 (2017)
  5. Tomasz Kapela, Piotr Zgliczyński,
    A Lohner-type algorithm for control systems and ordinary differential inclusions
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, vol. 11, 365-385 (2009)
  6. F. Colonius, T. Kapela,
    A rigorous numerical algorithm for controllability
    Taming Heterogeneity and Complexity of Embedded Control CTS-HYCON Workshop on Nonlinear and Hybrid Control, International Scientific & Technical Encyclopedia (ISTE) , 157-170 (2007)
  7. Tomasz Kapela, Carles Simo,
    Computer assisted proofs for nonsymmetric planar choreographies and for stability of the Eight
    NONLINEARITY, vol. 20(5), 1241-1255 (2007)
  8. Tomasz Kapela,
    N-BODY choreographies with a reflectional symmetry - computer assisted existence proofs
    EQUADIFF 2003, Proceedings of the International Conference on Differential Equations, Hasselt, Belgium 22 - 26 July 2003, 999-1005 (2003)
  9. Tomasz Kapela, Piotr Zgliczyński,
    The existence of simple choreographies for the N-body problem - a computer assisted proof
    NONLINEARITY, vol. 16(2), 1899-1918 (2003)
  10. T. Kapela,
    Hazardowa wersja gry Penney'a
    Annales Academiae Paedagogicae Cracoviensis, Studia Ad Calculum Probabilitatis Eiusque Didacticam Perinentia I, folia 5 (2002)