My current research interests are homotopy theory, algebraic geometry, and number theory.

Triangulations of simplices with vanishing local h-polynomial

With André de Moura, Elijah Gunther, Sam Payne, and Alan Stapledon. Accepted for publication in Algebraic Combinatorics. From an undergraduate summer research project. We studied triangulations of simplices for which Richard Stanley’s local $h$-polynomial vanishes, and gave a recursive enumeration of all such subdivisions of the 3-simplex, $\Delta^3.$