My research interests can be broadly defined as the investigation of topological, geometric, and combinatorial objects. The main topic I study is Geometric Group Theory especially through the lens of embedded combinatorial structures. My current research has close connections to the combinatorics of Non-Crossing Partitions and the topological properties for classifying spaces of the Braid Group.
A few of my papers are being prepared currently, including:
- Unit-Interval Parking Functions and the Permutohedron (joint with L. Chaves Meyles; R. Jordaan; E. Spingarn)
- Parking functions of Fixed Displacement (joint with L. Chaves Meyles; R. Jordaan; E. Spingarn)
- Symmetric Non-Crossing Partitions
- Real Polynomials and Non-Crossing Partitions (joint with J. McCammond)
My Master's Thesis from San Francisco State University:
Geometric Extensions and the 1/3--2/3 Conjecture
Geometric Extensions and the 1/3--2/3 Conjecture
