Kasra Rafi

Kasra Rafi is a Professor at the Department of Mathematics, University of Toronto, based at the Bahen Centre (Room 6236). His research focuses on Geometry and Dynamical Properties of Teichmuller Space, with significant contributions to graph theory, hyperbolic geometry, and the connectivity of trivalent graphs. His work involves collaborations with Roi Docampo, Jing Tao, and Ci Zhang, utilizing computational tools like Sage to study graph stratification by girth and properties such as 3-covered cycles. He also explores eigenvalues and bottlenecks in graph structures, addressing questions related to expander families and graph connectivity.

His teaching includes specialized graduate courses such as Randomness in Groups (Winter 2025) and projects like Graph of Graphs, which visualizes the geometry of trivalent graphs through Whitehead moves. He has mentored students in programs like the Math Mentorship Program at the University of Toronto and Work Study initiatives. Rafi’s research intersects mathematical theory with computational analysis, emphasizing geometric stratification and automorphism properties in distance-transitive graphs.