Deutsch Intern
Complex Analysis


Research: Geometric function theory and conformal geometry

Geometric function theory is a branch of complex analysis that seeks to relate analytic properties of conformal maps to geometric properties of their images. The subject has deep connections with other areas of mathematics such as differential geometry, harmonic analysis, operator theory and mathematical physics.

We are working in the following research area:

Loewner theory

Banach and Hilbert spaces of holomorphic functions

Geometric partial differential equations

Conformal metrics

Riemann surfaces

Normal families

Nevanlinna theory

Complex geometry