Research

Research Interests

My research lies at the intersection of group theory and topology. I am particularly interested in the geometric and asymptotic features of groups. I study residual properties, representation growth, and subgroup structure, and how these interact with geometric and topological models of groups. More broadly, I am interested in questions that connect group theory with geometry and number-theoretic phenomena. These include understanding how groups encode geometric information, how algebraic constraints influence large-scale structure, and how representation theory can be used to probe the complexity of infinite groups. Alongside these theoretical interests, I am increasingly interested in the computational and algorithmic aspects of mathematics, including the use of programming and modern computational tools to explore mathematical structures, visualize geometric phenomena, and support mathematical discovery. My work is motivated by the belief that many of the most interesting mathematical questions arise where algebra, geometry, and computation meet, and I aim to contribute to that interface through both research and teaching.

Recent Publications