Research & Prints

I am interested in studying asymptotic properties of stochastic processes and dynamical systems on negatively curved backgrounds.

I also enjoy thinking about counting problems in geometry and questions related to the parameter dependence of natural measures (such as hitting measures and Patterson-Sullivan measures) on the boundaries of negatively curved spaces.

Some of my ongoing projects involve studying Gibbs measures for the Ising model at low temperatures on hyperbolic groups, and counting conjugacy classes of a given genus in hyperbolic groups. 

Here's a link to my Master's Thesis: Random Walks on Hyperbolic Groups

Pre-prints

1. Counting Products of Commutators and Products of Squares in Hyperbolic Groups, (in preparation), with Biswajit Nag, Inhyeok Choi. A preliminary version is available at request.

2. Contact Domination, with Balarka Sen, Sekh Kiran Ajij, available at arXiv:2502.13927