"You start out in life doing mathematics, you end up doing combinatorics"
- Ian G. Macdonald
My research is in algebraic combinatorics and combinatorial representation theory. I am interested in and work with supercharacter theories and Hopf algebras.
My thesis focused on supercharacter theories on the unipotent group of uppertriangular matrices over a finite field and more generally on supercharacter theories generated by distributive normal subgroup lattices.
In the past, I have worked on projects related to enumerative combinatorics, inverse semigroup theory, and statistics.
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.