The research interests of the Complex Analysis Group
lie in the broad area of
Geometric Complex Analysis. The emphasis
is on
- Nonlinear Elliptic PDEs in Conformal Geometry
- Geometric Function Theory
- Distribution of Critical Points
- Boundary Value Problems for holomorphic maps
- Loewner Evolution
The overall goal is to understand conformally invariant phenomena in Analysis
and Geometry and their applications. Rigidity and deformation properties
of holomorphic maps and conformal metrics play a central role in our
investigations.