My research interests lie primarily in geometric group theory, combinatorics, and topology, with a particular interest in the braid group and its relatives. Some of my recent work has focused on the geometric and combinatorial connections between braids, complex polynomials, and noncrossing partitions. My other interests include Coxeter groups, Artin groups, mapping class groups, and configuration spaces.
Publications and Preprints

The Polyhedral Tree Complex
Combinatorial Theory, accepted 
Geometric Combinatorics of Polynomials I: The Case of a Single Polynomial
Journal of Algebra, 2022 
Critical Points, Critical Values, and a Determinant Identity for Complex Polynomials
Proceedings of the American Mathematical Society, 2020 
Boundary Braids
Algebraic & Geometric Topology, 2020 
Undesired Parking Spaces and Contractible Pieces of the Noncrossing Partition Link
Electronic Journal of Combinatorics, 2018 
A Decomposition of Parking Functions by Undesired Spaces
Electronic Journal of Combinatorics, 2016 
Hankel Transforms of Linear Combinations of Catalan Numbers
Journal of Integer Sequences, 2011
In Preparation

Geometric Combinatorics of Polynomials II: The Branched Annulus Complex

Noncrossing Partition Lattices from Planar Configurations