I like working in the intersection of low dimensional topology and category theory (especially categories coming from representation of quantum groups). In short, I work in the field of quantum topology and quantum algebra.
A comparison between SL_n spider categories. Canadian J. of Math.(2025) https://doi.org/10.4153/S0008414X25000240.
A determinant formula of the Jones polynomial for a family of braids (with D. Asaner**, S. Kumar, M. Molander* and A. Pease**). Submitted (2024). [arxiv]
Lie Superalgebra generalizations of the Jaeger-Kauffman-Saleur Invariant (with M. Chrisman). Submitted (2024). [arxiv]
Enriched string-net models and their excitations (with D. Green*, P. Huston, K. Kawagoe, D. Penneys and S. Sanford). Quantum 8, 1301 (2024) https://doi.org/10.22331/q-2024-03-28-1301.
Skein-theoretic methods for unitary fusion categories (with S. J. Valera). Preprint (2020). [arxiv]