What's a pirate's favorite probability measure on a compact topological group? Haarrrrr measure!
I am currently a Lecturer in the School of Mathematical Sciences at Queen Mary University of London, where I am a part of the Geometry and Analysis Group.
Previously, I was a Research Associate at Imperial College London and Postdoctoral Fellow at the University of Toronto.
I received my Ph.D. in mathematics from Princeton University, under the supervision of Professor Sergiu Klainerman.
General research interests
- Partial differential equations:
- Hyperbolic and wave equations
- Dispersive equations
- Geometric PDE
- Tools for studying PDE (aspects of differential geometry, harmonic analysis, functional analysis, etc.)
- Mathematical physics:
- Mathematical general relativity (e.g., Einstein equations, Lorentzian geometry)
- Schrödinger equations
In general, I am interested in almost anything pertaining to analysis and differential geometry.