Research

Currently, I'm thinking about the Morse boundary and constructing Coxeter groups whose Morse boundaries satisfy certain properties as topological spaces. I also worked on a quantitative version of guessing geodesics, a set of conditions ensuring that a given metric space is hyperbolic, and obtained an explicit hyperbolicity constant. I'm always keen to discuss this and whether there are any applications of this result. I'm hoping to broaden my research to small-cancellation theory and random groups.

1. Coming soon!
2. Pre-print: A Quantitative Guessing Geodesics Theorem (Summer project supervised by Harry Petyt and Davide Spriano)