Complex Analysis

The complex analysis group's research activities are primarily focused on

• reproducing kernel Hilbert spaces in one and several complex variables;
• potential theory on Ahlfors-regular metric spaces in one and several variables;
• holomorphic singular integrals for planar and higher dimensional domains with minimal regularity;
• applications of one-dimensional complex analysis to fluid dynamics.

External Collaborators:

Alessandro Monguzzi, Pavel Mozolyako, Marco Peloso, Stefanie Petermichl, Maura Salvatori, Giulia Sarfatti, Alessandro Socionovo, Alexander Volberg, Matteo Levi, Brett Wick, Ji Li, Stefan Llewellyn Smith, Elena Louca.