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
Bogdan Batko, PhD
room:2151
address:Łojasiewicza 6, PL-30-348 Kraków, Poland
phone:
e-mail:bogdan.batko@uj.edu.pl
Research interests:
  • computational topology
  • homology algorithms
  • dynamical systems
  • functional equations and stability
CV light:
1996M.S. in mathematicsPedagogical University of Cracow
1997M.S. in computer scienceAGH University of Science and Technology, Cracow
2000PhD in mathematicsPedagogical University of Cracow
2004-2007Vice dean for educationFaculty of Computer Science, Graduate School of Business - National-Lous University, Nowy Sącz
2014-2015Vice director for student affairsInstitute of Mathematics, Pedagogical University of Cracow
2024Habilitation in MathematicsJagiellonian University
Awards and scholarships:
1993annual scholarschipPolish Ministry of Higher Education
1994annual scholarschipPolish Ministry of Higher Education
1995annual scholarschipPolish Ministry of Higher Education
Research grants:
2003-2006Computational topology and dynamics; head Marian MrozekKBN (Polish Scientific Research Commitee)
2006-2009Algorithmic methods in topology and dynamics; head Marian MrozekMNSzW (Polish Ministry of Science and Higher Education)
2015TOPOSYS - Topological Complex Systems; head Marian MrozekEU 7th Framework Programme FET proactive
Publications:
  1. Bogdan Batko, Marcio Gameiro, Ying Hung, William Kalies, K. Mischaikow, Ewerton Vieira,
    Identifying Nonlinear Dynamics with High Confidence from Sparse Data
    SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, vol. 23(1), 383-409 (2024)
  2. Bogdan Batko,
    The Morse Equation in the Conley Index Theory for Discrete Multivalued Dynamical Systems
    Journal of Dynamics and Differential Equations, vol. 35, 2725-2742 (2023)
  3. Bogdan Batko, Tomasz Kaczynski, Marian Mrozek, Thomas Wanner,
    Linking combinatorial and classical dynamics: Conley index and Morse decompositions
    FOUNDATIONS OF COMPUTATIONAL MATHEMATICS, vol. 20, 967— 1012 (2020)
  4. Bogdan Batko, K. Mischaikow, Marian Mrozek, Mateusz Przybylski,
    Conley Index Approach to Sampled Dynamics
    SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, vol. 19-1, 665-704 (2020)
  5. Bogdan Batko,
    Weak Index Pairs and the Conley Index for Discrete Multivalued Dynamical Systems. Part II: Properties of the Index
    SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, vol. Vol. 16, No. 3, 1587-1617 (2017)
  6. Bogdan Batko, Marian Mrozek,
    Weak index pairs and the Conley index for discrete multivalued dynamical systems
    SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, vol. 15.2, 1143-1162 (2016)
  7. Bogdan Batko,
    Spectral representation theory and stability of the multiplicative Dhombres functional equation in f-algebras
    Aequationes Mathematicae, vol. 89.3, 543-554 (2015)
  8. Bogdan Batko,
    Superstability of the Cauchy equation with squares in finite-dimensional normed algebras
    Aequationes Mathematicae, vol. vol. 89.3, 785-789 (2015)
  9. Bogdan Batko,
    On Approximate Solutions of Functional Equations in Vector Lattices
    Abstract and Applied Analysis, vol. 547673, 10 (2014)
  10. Bogdan Batko,
    Stability of the Exponential Functional Equation in Riesz Algebras
    Abstract and Applied Analysis, vol. 848540, 4 (2014)
  11. Bogdan Batko, Janusz Brzdęk,
    A remark on some simultaneous functional inequalities
    Springer, vol. 94, 111-117 (2014)
  12. Bogdan Batko, Janusz Brzdęk,
    A fixed point theorem and the Hyers-Ulam stability in Riesz spaces
    Advances in Difference Equations, vol. 2013:138, 12 (2013)
  13. B. Batko, J. Brzdęk,
    A fixed point theorem and the stability of functional equations in Riesz spaces
    Advances in Difference Equations, 2013:138 (2013)
  14. Bogdan Batko,
    The stability of Dhombres' equation in Riesz spaces
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol. 406.1, 261-265 (2013)
  15. Bogdan Batko,
    Note on superstability of Mikusinski’s functional equation
    Springer, vol. 52, 15-17 (2012)
  16. Bogdan Batko, Marian Mrozek,
    Homology of representable sets
    Annales Polonici Mathematici, vol. 97,3, 243-252 (2010)
  17. Bogdan Batko, Marian Mrozek,
    Coreduction homology algorithm
    DISCRETE & COMPUTATIONAL GEOMETRY, vol. 41, 96-118 (2009)
  18. Bogdan Batko,
    Stability of an alternative functional equation
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol. 339.1, 303-311 (2008)
  19. Bogdan Batko,
    On approximation of approximate solutions of Dhombres' equation
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol. 340.1, 424-432 (2008)
  20. Bogdan Batko, Marian Mrozek,
    The Euler-Poincare characteristic of index maps
    TOPOLOGY AND ITS APPLICATIONS, vol. 154.4, 859-866 (2007)
  21. Bogdan Batko,
    On the stability of Mikusinski's equation
    PUBLICATIONES MATHEMATICAE-DEBRECEN, vol. 66.1-2, 17-24 (2005)
  22. Bogdan Batko,
    On the stability of an alternative functional equation
    MATHEMATICAL INEQUALITIES & APPLICATIONS, vol. 8.4, 685-691 (2005)
  23. Bogdan Batko,
    Stability of Dhombres' equation
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, vol. 70.3, 499-505 (2004)
  24. Bogdan Batko, Zygfryd Kominek, Jacek Tabor,
    Generalized norms and convexity
    PUBLICATIONES MATHEMATICAE-DEBRECEN, vol. 60.1-2, 63-73 (2002)
  25. Bogdan Batko,
    An alternative Cauchy equation almost everywhere
    Roczniki Naukowo-Dydaktyczne AP. w Krakowie, vol. 204, 41-48 (2000)
  26. Bogdan Batko, Jacek Tabor,
    Stability of the generalized alternative Cauchy equation
    ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, vol. 69, 67-73 (1999)
  27. Bogdan Batko, Jacek Tabor,
    Stability of an alternative Cauchy equation on a restricted
    Aequationes Mathematicae, vol. 57, 221-232 (1999)
  28. B. Batko, J. Tabor,
    Stability of an alternative Cauchy equation on a restricted domain
    Aequationes Mathematicae 57, 1-12 (1998)
Division of Computational Mathematics, Institute of Computer Science, Łojasiewicza 6, 30-348 Kraków, Poland