Research interests:

• Periodic point theory
• Topological invariants: Fixed point index, Lefschetz number, Nielsen number, Conley index
• Two-dimensional dynamics
• Nonlinear methods in cardiology

Recent publications:

• Entropy in cardiovascular diseases (in polish) (coauthors B. Graff, A. Kolesiak), Applied Mathematics (Matematyka Stosowana) 9, 2008, 46-56.
• Minimal number of periodic points for C1 self-maps of compact simply-connected manifolds, (coauthor J. Jezierski), Forum Mathematicum, (2008) in printing, (DOI 10.1515/FORUM.2008).
• Minimal number of periodic points for smooth self-maps of two-holed 3-dimensional closed ball, Topol. Methods in Nonlinear Analysis, in printing.
• General form of fixed point indices of an iterated C1 map and infiniteness of minimal periods, (coauthor P. Nowak-Przygodzki), Dynamical Systems, accepted.