Assistant professor

Nicolaus Copernicus University Faculty of Mathematics & Computer Science

ul. Chopina 12/18,  87-100 TORUŃ, POLAND

E-mail address: robo@mat.umk.pl

Office: room F 304

Scientific interests

  • Topological methods in nonlinear analysis (topological degree, fixed point index)
  • Qualitative theory of (nonautonomous) dynamical systems
  • Numerical discretization theory
  • Differential inclusions and nonsmooth analysis

Publications

  1. R. Skiba, On the Lefschetz fixed point theorem for multivalued weighted mappings, Acta Univ. Palack. Olomuc. Fac. Rerum Natur. Math. 40, 2001, 201-214.
  2. R. Skiba, Topological essentiality for multivalued weighted mappings, Acta Univ. Palack. Olomuc. Fac. Rerum Natur. Math. 41, 2002, 131-145.
  3. J. Pejsachowicz, R. Skiba, Fixed point theory of multivalued weighted maps, Handbook of Topological Fixed Point Theory, Springer, Dordrecht, 2005, 217-263.
  4. R. Skiba, Graph-approximation of multivalued weighted maps, Topol. Methods Nonlinear Anal., 29, 2007, 119-161.
  5. R. Skiba, Fixed points of multivalued weighted maps, Lecture Notes in Nonlinear Analysis, vol. 9, Juliusz Schauder Center for Nonlinear Studies,Nicolaus Copernicus University, Toruń 2007, 1-148.
  6. R. Skiba, M. Ślosarski, On a generalization of absolute neighborhood retratcs, Topology and its Applications, 156 (2009) 697-709.
  7. W. Kryszewski, R. Skiba, A cohomological index of Fuller type for set-valued dynamical systems, Nonlinear Analysis, Theory, Methods & Applications, 75 (2012), 684-716.
  8. J. Pejsachowicz, R. Skiba, Global bifurcation of homoclinic trajectories of discrete dynamical systems, Central European Journal of Mathematics, 10(6) 2012, 2088-2109.
  9. J. Pejsachowicz, R. Skiba, Topology and homoclinic trajectories of discrete dynamical systems, Discrete Contin. Dyn. Syst. S, 6(4), 2013, 1077-1094.
  10. R. Skiba, Applications of weighted maps to periodic problems of autonomous differential equations, Topol. Methods Nonlinear Anal., 42(1) 2013, 9-49.
  11. R. Skiba, A cohomological index of Fuller type for parameterized set-valued maps in normed spaces, Central European Journal of Mathematics, 12(8) 2014, 1164-1197.
  12. N. Waterstraat, R. Skiba, The Index Bundle and Multiparameter Bifurcation for Discrete Dynamical Systems, DCDS-A, 37(11), 2017, 5603-5629 (arXiv:1612.05837).
  13. C. Potzsche, R. Skiba, Global Continuation of Homoclinic Solutions, submitted (arXiv:1706.04139).
  14. C. Potzsche, R. Skiba, A Continuation Principle for Fredholm maps (in preperation).

Curriculum vitae

employment

  •     October 2006 - present: assistant professor in the Department of Nonlinear Analysis and Topology, Faculty of Mathematics & Computer Science, NCU
  •     October 2005 - September 2006: assistant in the Department of Nonlinear Analysis and Topology, Faculty of Mathematics and Computer Science, NCU

scientific degrees

  •     PhD in Mathematics, Nicolaus Copernicus University, February 2006, adviser: prof. dr hab. L. Górniewicz
  •     MSc in Mathematics, Nicolaus Copernicus University, June 2001, adviser: prof. dr hab. L. Górniewicz