Geometry & Topology
Geometry & topology research in the department includes geometric group theory and symplectic topology.
Research interests: Akhmedov's research focuses on geometric aspects of groups and the dynamics of group actions. He mainly studies subgroups of Lie groups and the diffeomorphism groups of manifolds of small dimension.
Research interests: Dorfmeister studies symplectic 4-manifolds and low-dimensional topology. His research uses pseudoholomorphic curve techniques, symplectic genus, inflation and other tools from symplectic topology.