Kompleksna analiza (Slovene)

The group is working in complex analysis, in particular in the area of holomorphic functions of several complex variables. Particular areas of research are: (a) analytic discs attached to various submanifolds (b) holomorphic embeddings and proper holomorphic maps (c) characterization of the Cauchy-Riemann functions on boundaries of domains in terms of their restrictions to lower dimensional submanifolds (d) holomorphic automorphisms of complex n-space and Fatou-Bieberbach domains (e) complete holomorphic vector fields in complex spaces (f) analytic sets with boundaries in maximally real submanifolds (g) homotopy principle of Gromov. The members of the group use methods from analysis, geometry and topology. The members of the group have been collaborating with mathematicians from the USA (University of Wisconsin-Madison, University of Michigan, University of Washington, Indiana University), France (Université Paul Sabatier, Toulouse), Norway (University of Oslo) and Israel (Bar Ilan University).