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.
Published work:
A comparison between SL_n spider categories
Canadian J. of Math (2025)
Enriched string-net models and their excitations
with D. Green*, P. Huston, K. Kawagoe, D. Penneys and S. Sanford
Quantum 8, 1301 (2024)
A determinant formula of the Jones polynomial for a family of braids
with D. Asaner**, S. Kumar, M. Molander* and A. Pease**
Topology and Its Applications (2026)
Lie superalgebra invariants and almost classical knots
with M. Chrisman
New York J. Math 32(2026) 1350-1403
Preprints:
A diagrammatic presentation for every pivotal pointed fusion category
with C. Di
Preprint 2026
U_q(gl(m|n) bounds on the minimal genus of virtual links
with M. Chrisman and K. Davis
Preprint 2026
Skein-theoretic methods for unitary fusion categories
with S. J. Valera
Preprint (2020).