My core research areas are in Analysis (Complex Analysis, PDE, potential theory, asymptotics), but what I really love are well-motivated problems that are simple to state.
- Random Manifolds
- Complex Zeros of Harmonic Functions
- Univalent Harmonic Mappings
- Free Boundaries
- Operator Theory
- Analytic Combinatorics
Coauthors: Saugata Basu, Steven R. Bell, Daoud Bshouty, Joshua N. Cooper, Alexandre Eremenko, Timothy Ferguson, Matthew Fleeman, Yan V. Fyodorov, Jonathan Hauenstein, Charles R. Keeton, Dmitry Khavinson, Seung-Yeop Lee, Antonio Lerario, Dhagash Mehta, Brendan Nagle, Chris Peterson, Koushik Ramachandran, Hermann Render, Razvan Teodorescu, Vilmos Totik, Allen Weitsman. (my Erdos number is 2)