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 Tucker | Uppsala University, Sweden |
| 2005 | PhD. in Computer Science. Title: ”Choreographies in the N-body problem”. Advisor: Piotr Zgliczyński | Jagiellonian University, Kraków |
| 2001 | MSc in Mathematics | Pedagogical University, Kraków |
| 1999 | BSc in Mathematics and Computer Science | Pedagogical University, Kraków |
Awards and scholarships:
| 2006 | Prime Minister's Award for outstanding PhD Thesis | |
| 2003 | Stanisław Pigoń Scholarschip for outstanding Ph.D. students | Jagiellonian 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 problem | Polish Scientific Research Committee |
| 2004 - 2005 | Marie 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:
- Donald Woukeng Feudjio, Damian Sadowski, Michał Lipiński, Tomasz Kapela, Jakub Leśkiewicz,Rigorous computation in dynamics based on topological methods for multivector fieldsJournal of Applied and Computational Topology, vol. 8, 875–908 (2024)
- Tomasz Kapela, Daniel Wilczak, Piotr Zgliczyński,Recent advances in a rigorous computation of Poincaré mapsCommunications in Nonlinear Science and Numerical Simulation, vol. 110, 106366 (2022)
- Tomasz Kapela, Marian Mrozek, Daniel Wilczak, Piotr Zgliczyński,CAPD::DynSys: a flexible C++ toolbox for rigorous numerical analysis of dynamical systemsCommunications in Nonlinear Science and Numerical Simulation, vol. 101, 105578 (2021)
- Tamal Dey, Mateusz Juda, Tomasz Kapela, Jacek Kubica, Michał Lipiński, Marian Mrozek,Persistent Homology of Morse Decompositions in Combinatorial DynamicsSIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, vol. 18-1, 510-530 (2019)
- Tomasz Kapela, Carles Simo,Rigorous KAM results around arbitrary periodic orbits for Hamiltonian systemsNONLINEARITY, vol. 30(3), 965-986 (2017)
- Tomasz Kapela, Piotr Zgliczyński,A Lohner-type algorithm for control systems and ordinary differential inclusionsDISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, vol. 11, 365-385 (2009)
- F. Colonius, T. Kapela,A rigorous numerical algorithm for controllabilityTaming Heterogeneity and Complexity of Embedded Control CTS-HYCON Workshop on Nonlinear and Hybrid Control, International Scientific & Technical Encyclopedia (ISTE) , 157-170 (2007)
- Tomasz Kapela, Carles Simo,Computer assisted proofs for nonsymmetric planar choreographies and for stability of the EightNONLINEARITY, vol. 20(5), 1241-1255 (2007)
- Tomasz Kapela,N-BODY choreographies with a reflectional symmetry - computer assisted existence proofsEQUADIFF 2003, Proceedings of the International Conference on Differential Equations, Hasselt, Belgium 22 - 26 July 2003, 999-1005 (2003)
- Tomasz Kapela, Piotr Zgliczyński,The existence of simple choreographies for the N-body problem - a computer assisted proofNONLINEARITY, vol. 16(2), 1899-1918 (2003)
- T. Kapela,Hazardowa wersja gry Penney'aAnnales Academiae Paedagogicae Cracoviensis, Studia Ad Calculum Probabilitatis Eiusque Didacticam Perinentia I, folia 5 (2002)