As a combinatorist, I count interesting objects. These objects include basis elements of cohomology rings, subwords of elements of Weyl groups, plane trees an non-crossing matchings that are labeled "correctly," and RNA secondary structures.
My dissertation, called "Combinatorics of Equivariant Cohomology: Flags and Regular Nilpotent Hessenberg Varieties," can be found here.
Papers and preprints
With A. Gainer-Dewar, H. Harrington, Q. He, C. Heitsch, and S. Poznanovic: Geometric combinatorics and computational molecular biology: Branching polytopes for RNA sequences.
With F. Black and J. Tymoczko Valid plane trees: Combinatorial models for RNA secondary structures with Watson-Crick base pairs.
With J. Tymoczko A module isomorphism between $H^*_T(G/P)\otimes H^*_T(P/B)$ and $H^*_T(G/B)$.
Accepted to Communications in Algebra
Monk's Rule and Giambelli's Formula for Peterson Varieties of All Lie Types.
Journal of Algebraic Combinatorics, 41 (2015), no. 2, 539-575.
You can email me at elizabeth.drellich (at) unt.edu.