"You start out in life doing mathematics, you end up doing combinatorics" - Ian G. Macdonald
I work in algebraic combinatorics and combinatorial representation theory. I am interested in and work with supercharacter theories and Hopf algebras. My current research focuses on supercharacter theories on the unipotent group of uppertriangular matrices over a finite field. In the past, I have worked on projects related to enumerative combinatorics, inverse semigroup theory, and statistics.
I regularly attend the Algebraic Lie Theory seminar at CU Boulder and the Rocky Mountain Algebraic Combinatorics seminar at Colorado State University.
Director's Summer Program Project Report, 2019. Published internally at the NSA. With three co-authors.
On zigzag maps and the path category of an inverse semigroup, 2018. Published in Semigroup Forum. With Allan Donsig, Hannah King, David Milan, and Ronen Wdowinski.