Main areas of interest include holomorphic dynamical systems, whose analysis requires tools from the theory of univalent functions and Riemann surface theory including conformal and quasi-conformal mapping. Focus is on meromorphic vector fields , the classification of their global structure, and stratification of parameter space. This involves characterizing the global structure for a particular vector field by defining a set of combinatorial and analytic invariants, decomposing the parameter space of families of such vector fields, and describing the possible bifurcations.
Publication: Research - peer-review › Journal article – Annual report year: 2010
Publication: Research › Ph.D. thesis – Annual report year: 2009
Publication: Research › Poster – Annual report year: 2008