Staff profile
Overview
| Affiliation | Telephone |
|---|---|
| 2P in the Department of Mathematical Sciences |
Biography
I am currently a third-year PhD student. My research interests include differential geometry and optimal transport theory, as well as the points at which these fields intersect. Most recently, this has involved a formulation and proof of Brenier's famous theorem for existence and uniqueness for the optimal transport problem in the setting of the sub-Lorentzian Heisenberg group - an indefinite analogue of the classic sub-Riemannian space.
Before my PhD, I also completed an MMath at Durham, with my project concerning critical points of the exponential map on Lorentzian manifolds.
Research Interests
- Differential Geometry
- Optimal Transport
- Lorentzian Geometry
- sub-Riemannian Geometry
Supervisors
Wilhelm Klingenberg (1st) & Martin Kerin (2nd)