About Me
I am a Ph.D. candidate in the Department of Mathematics at Purdue University, advised by Prof. Oleksandr Tsymbaliuk. Prior to joining Purdue in 2022, I received my B.S. in Mathematical Sciences and Physics and completed Master’s coursework in Mathematical Sciences at Seoul National University.
- Curriculum Vitae: Download PDF
Research Interests
My primary research areas are representation theory and mathematical physics, with connections to quantum integrable systems and low-dimensional topology. In particular:
- Quantum (super)groups and their representations: Explicit Hopf superalgebra isomorphisms among Drinfeld–Jimbo, new Drinfeld, and RLL realizations; universal and evaluated R-matrices uniform across arbitrary parity sequences.
- Categorical and structural quantization paradigms: Nichols algebras, tensor categories, Etingof–Kazhdan quantization, and categorification via quiver Hecke (KLR) (super)algebras.
Contact
- Email: hong420@purdue.edu
- Address: Department of Mathematics, Purdue University, 150 N. University Street, West Lafayette, IN 47907, USA
Chalkboard portrait drawn by Estepan Ashkarian.
Top: Alex Hsu.
Bottom: Estepan, me, Carlos Agrinsoni.
Last updated: November 11, 2026