Research

Broadly speaking, my research interests include knot theory, categorification, representation theory, and low-dimensional topology. Lately, I have spent most of my time thinking about (colored) sl(N) and HOMFLY-PT homology of rational tangles and links, as well as the Links-Quivers Correspondence. However, I am always interested in finding new problems to work on and people to collaborate with!

My previous research was in graph theory, where I studied algebraic and combinatorial properties of prime graphs as part of an REU with Texas State University. I also participated in a project for my undergraduate complex analysis course, which resulted in a publication.

Here is a list of my undergrad publications:

1. Minimal Prime Graphs of Finite Solvable Groups (with Chris Florez, Kyle

Huang, Thomas M. Keller, Dawei Shen), preprint, accepted pending revisions by Rocky

Mountain Journal of Mathematics, https://arxiv.org/pdf/2011.10403

2. The Adjacency Spectra of Some Families of Minimally Connected Prime Graphs (with Chris Florez, Kyle Huang, Thomas M. Keller, Dawei Shen), Involve, Vol. 17

(2024), No. 1, 107–120, https://arxiv.org/pdf/2011.08938

3. **The Prime Graphs of Some Classes of Finite Groups (with Chris Florez, Kyle Huang, Thomas M. Keller, Dawei Shen, Yong Yang), Journal of Pure and Applied Algebra, 226 (2022), 106990, 19 pp., https://arxiv.org/pdf/2101.00363

4. A Groundwater Contaminant Extraction Model Using Complex Potentials (with Paul Isihara, Lucy Henneker, Andrew Luhmann, Nathaniel Bowden, Daws Bremner, Stephen McKay, Julio Reyes), UMAP Journal 43.1, 2022, 39-76

**I am listed as an author of this paper as part of the REU group, but I did not work on this paper in particular.