I completed a 10 week summer project in Topological Data Analysis, supervised by Anthea Monod, at Imperial College London in 2025. The project investigated the homology of hypergraphs and their duals. I used Gudhi and Hypernet X to run computational experiments to examine differences in the Betti numbers of randomly generated hypergraphs compared to their duals.
Link to my poster (presented at ICL Poster Symposium).
I wrote an undergraduate thesis titled 'The Classification of Triangle Groups', under the supervision of Dawid Kielak. The essay used group theoretic and topological results to explore which triangles could tessellate the Euclidean plane, sphere and hyperbolic plane.
Image created using KaleidoTile, a Topology and Geometry Software.
In July 2024, I was one of 35 undergraduates selected internationally to attend PCMI's Undergraduate Summer School in Park City, Utah. The topic was Motivic Homotopy Theory. In addition to the lecture series and problem sessions on Homotopy Theory, I also participated in the Experimental Math Lab, presenting a group project on Homological Algebra to the conference.