Seminars:
Computational mathematics Thu 16:15-17:45
room 1016
Image and Data Processing Tue 11:30-13:00
room 1146
Differential equations and related issues Fri 12:15-13:45
room 1016
Partial differential equations Tue 12:15-13:45
room 1016
Tomasz Kapela, PhD
room:2060
address:Łojasiewicza 6, PL-30-348 Kraków, Poland
e-mail:kapela@ii.uj.edu.pl
www:http://www.ii.uj.edu.pl/~kapela/

Research interests:
  • dynamical systems
  • hamiltonian systems, N-body problem
  • computer assisted proofs
  • rigorous numerical methods
  • computational topology

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

Awards and scholarships:
2006Prime Minister's Award for outstanding PhD Thesis
2003Stanisław Pigoń Scholarschip for outstanding Ph.D. studentsJagiellonian University

Research grants:
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.

Publications:
  1. 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)
  2. Tomasz Kapela, Carles Simo,
    Rigorous KAM results around arbitrary periodic orbits for Hamiltonian systems
    NONLINEARITY, vol. 30(3), 965-986 (2017)
  3. 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)
  4. Tomasz Kapela, Carles Simo,
    Computer assisted proofs for nonsymmetric planar choreographies and for stability of the Eight
    NONLINEARITY, vol. 20(5), 1241-1255 (2007)
  5. 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)
  6. 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)
  7. 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)
  8. T. Kapela,
    Hazardowa wersja gry Penney'a
    Annales Academiae Paedagogicae Cracoviensis, Studia Ad Calculum Probabilitatis Eiusque Didacticam Perinentia I, folia 5 (2002)
Division of Computational Mathematics, Institute of Computer Science, Łojasiewicza 6, 30-348 Kraków, Poland