Applied Mathematics

I'm broadly interested in applying highly theoretical tools from probability, analysis, and PDE to real-world problems. More specifically, I am drawn to abstract problems arising from physics, the calculus of variations, and probability (such as optimal transport, random matrix theory, and interacting particle systems), and how the solution to these problems may find suitable applications across multiple fields. A suitable example could be how treating tokens within an LLM as an interacting particle system may help explain its behavior by detecting token clustering and metastability, or how optimal transport may be used to reconstruct the paths stem cells take when mutating within RNA space.

Prior to joining Brown, I graduated with a BSc from Imperial College London, where my BSc thesis was supervised by Dr Deniz Akyildiz. I also completed an MSc in Mathematical Sciences at the University of Oxford, where my thesis was supervised by Prof James Martin.