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:
Mgr Adam Nawrocki delivered a lecture entitled On the asymptotic behaviour of certain functions almost periodic in the Lebesgue measure.
Dr Piotr Kasprzak delivered a lecture entitled On functions of bounded variation.
On 16.05.2014 prof. UAM dr hab. Dariusz Bugajewski took part in the conference Mini Corsi di Analisi Variazionale organized by Mediterranea University of Reggio Calabria.
On the same day, dr Piotr Kasprzak visited Institute of Mathematics Polish Academy of Sciences, where he delivered a lecture entitled On functions of bounded variation.
From 10.05.2014 to 17.05.2014, prof. UAM dr hab. Dariusz Bugajewski visited University of Calabria, Cosenza, Italy, where he delivered a mini-course for students entitled On a certain method of solving systems of linear differential equations with constant coefficients, conducted research and gave a lecture entitled Nonlinear operators in the spaces of functions of bounded variation in the sense of Jordan. The visit was financed under the Erasmus programme.