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

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,
    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)
  2. 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)
  3. Bogdan Batko,
    Superstability of the Cauchy equation with squares in finite-dimensional normed algebras
    Aequationes Mathematicae, vol. vol. 89.3, 785-789 (2015)
  4. Bogdan Batko,
    Spectral representation theory and stability of the multiplicative Dhombres functional equation in f-algebras
    Aequationes Mathematicae, vol. 89.3, 543-554 (2015)
  5. Bogdan Batko,
    On Approximate Solutions of Functional Equations in Vector Lattices
    Abstract and Applied Analysis, vol. 547673, 10 (2014)
  6. Bogdan Batko, Janusz Brzdęk,
    A remark on some simultaneous functional inequalities
    Springer, vol. 94, 111-117 (2014)
  7. Bogdan Batko,
    Stability of the Exponential Functional Equation in Riesz Algebras
    Abstract and Applied Analysis, vol. 848540, 4 (2014)
  8. 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)
  9. B. Batko, J. Brzdęk,
    A fixed point theorem and the stability of functional equations in Riesz spaces
    Advances in Difference Equations, 2013:138 (2013)
  10. Bogdan Batko,
    The stability of Dhombres' equation in Riesz spaces
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol. 406.1, 261-265 (2013)
  11. Bogdan Batko,
    Note on superstability of Mikusinski’s functional equation
    Springer, vol. 52, 15-17 (2012)
  12. Bogdan Batko, Marian Mrozek,
    Homology of representable sets
    Annales Polonici Mathematici, vol. 97,3, 243-252 (2010)
  13. Bogdan Batko, Marian Mrozek,
    Coreduction homology algorithm
    DISCRETE & COMPUTATIONAL GEOMETRY, vol. 41, 96-118 (2009)
  14. Bogdan Batko,
    On approximation of approximate solutions of Dhombres' equation
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol. 340.1, 424-432 (2008)
  15. Bogdan Batko,
    Stability of an alternative functional equation
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol. 339.1, 303-311 (2008)
  16. Bogdan Batko, Marian Mrozek,
    The Euler-Poincare characteristic of index maps
    TOPOLOGY AND ITS APPLICATIONS, vol. 154.4, 859-866 (2007)
  17. Bogdan Batko,
    On the stability of an alternative functional equation
    MATHEMATICAL INEQUALITIES & APPLICATIONS, vol. 8.4, 685-691 (2005)
  18. Bogdan Batko,
    On the stability of Mikusinski's equation
    PUBLICATIONES MATHEMATICAE-DEBRECEN, vol. 66.1-2, 17-24 (2005)
  19. Bogdan Batko,
    Stability of Dhombres' equation
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, vol. 70.3, 499-505 (2004)
  20. Bogdan Batko, Zygfryd Kominek, Jacek Tabor,
    Generalized norms and convexity
    PUBLICATIONES MATHEMATICAE-DEBRECEN, vol. 60.1-2, 63-73 (2002)
  21. Bogdan Batko,
    An alternative Cauchy equation almost everywhere
    Roczniki Naukowo-Dydaktyczne AP. w Krakowie, vol. 204, 41-48 (2000)
  22. Bogdan Batko, Jacek Tabor,
    Stability of the generalized alternative Cauchy equation
    ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, vol. 69, 67-73 (1999)
  23. Bogdan Batko, Jacek Tabor,
    Stability of an alternative Cauchy equation on a restricted
    Aequationes Mathematicae, vol. 57, 221-232 (1999)
  24. 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