Math MSc student at the University of Toronto
I'm currently doing my Master's degree at the University of Toronto, where I did my undergrad. I'm interested in probability, metric geometry, and dynamical systems. More recently, I've been interested in random walks on groups with hyperbolic properties.
The Poisson Boundary of Hyperbolic Groups Without Moment Conditions (with Behrang Forghani, Joshua Frisch, and Giulio Tiozzo)
Effective Drift Estimates for Random Walks on Graph Products, Submitted
Projects I've worked on during my undergrad, usually for classes or for invited talks.
"Probability on (Mostly) Cayley Graphs", written for a reading course on random matrix theory (which quickly branched out).
Notes on Hyperbolicity of the Curve Complex, written for a reading course in Teichmuller Theory.
Notes on Fursternberg's "A Poisson Formula for Semi-Simple Lie Groups", written for a graduate course in the Ergodic Theory of Random Walks on Groups
Hao Huang's Proof of the Sensitivity Conjecture, for an invited talk at the UofT Combinatorics Seminar.
A Topological proof of Van Der Waerden's Theorem, for a seminar in ergodic theory.
An introduction to random walks on hyperbolic spaces, written for a course in geometric group theory.