The staff of the Department conduct research in selected problems of two domains: convex and nonlinear analysis. In particular, algebraic, analytic, geometrical and topological properties of pairs of closed convex sets are investigated, among others:
are recurrent topics.
Another direction of research is nonlinear analysis. Among the topics discussed are:
Dr Piotr Kasprzak was chosen to be Managing Editor at the Journal of Nonlinear Evolution Equations and Applications.
From September 17 to September 20 2014 prof. Ryszard Urbański, prof. Dariusz Bugajewski, dr hab. Jerzy Grzybowski, dr Marcin Borkowski dr Daria Bugajewska, dr Piotr Kasprzak, dr Hubert Przybycień, mgr. Adam Nawrocki and mgr. Jędrzej Sadowski participated in the DMV-PTM joint meeting, UAM, Poznań.
From August 25 to August 30 2014, prof. Dariusz Bugajewski, dr. Daria Bugajewska and dr. Piotr Kasprzak participated in the Między teorią a zastosowaniami – matematyka w działaniu conference, Będlewo, Poland.
Prof. Dariusz Bugajewski delivered a talk entitled Functions of bounded variation and their applications.
Dr. Daria Bugajewska delivered a talk entitled On some generalizations of variation in the sense of Jordan.
Dr. Piotr Kasprzak delivered a talk entitled Some physical applications of functions of bounded variation.