My research interests lie in the areas of enumerative combinatorics and algebraic combinatorics. Most of my work so far has been in permutation enumeration and its connections to symmetric function theory and combinatorial Hopf algebras. In other words, I enjoy solving counting problems involving permutations and developing general frameworks for studying these kinds of problems, often drawing upon the rich interplay between combinatorics and abstract algebra.

Papers in Enumerative and Algebraic Combinatorics:

As an undergraduate student, I did some work in extremal combinatorics. In addition to the two papers below, I wrote a (mostly expository) senior thesis on the model theory of random graphs. These are no longer research interests!

Papers in Extremal Combinatorics: