Complex Analysis

Areas: 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.

Faculty:

Nicola Arcozzi

Full Professor

Loredana Lanzani

Full Professor

Research Fellows and Ph.D. Students

Nikolaos Chalmoukis

Teaching tutor

Gianluca Giacchi

PhD Student

Teaching tutor

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.