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.

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