My research interests are primarily in the areas of algebraic topology. More specifically, I study spaces with group actions, which exhibit a rich connection to algebraic/combinatorial objects such as graphs and polynomials. I am interested in this correspondence between topology and algebra/combinatorics, and I study topological problems through algebro-combinatorial techniques and vice versa. I am also working on applications of topology to various fields such as computer graphics.
|Keywords||Topology, Homotopy Theory, Computer Graphics|
|Division||Division of Intelligent Societal Implementation of Mathematical Computation, Division of Strategic Liaison (Concurrent)|