I am interested in studying combinatorial objects through algebraic methods and in understanding algebraic, topological, or geometric structures using combinatorial models. Specific objects of my interest include:
Symmetric function theory
Orthogonal polynomial sequences
(n-colored) Jones polynomials and Alexander polynomials
Graphs on surfaces
Schubert Calculus
AI for Math
Papers
An explicit formula for Koornwinder moments and Rains' positivity conjecture (arXiv:2606.14241)
(with Younggwang Cho, Donghyun Kim, Jang Soo Kim, Jing Liu, and Minho Song), preprint.
Generating naturally labeled posets through matrix extensions, order ideals, and automorphism groups (arXiv:2512.17749v2)
(with Gi-Sang Cheon, Samuele Giraudo, and Gukwon Kwon), submitted.
A sign-reversing involution for the antipode of Schur functions (arXiv:2603.03886)
(with Younggwang Cho and Byung-Hak Hwang), submitted.
A matrix approach to the structure, enumeration, and applications of partially ordered sets (arXiv:2602.04533)
(with Gi-Sang Cheon, Hong Joon Choi, Gukwon Kwon, and Yaling Wang), submitted.
Collaborators
Gi-Sang Cheon
Hong Joon Choi
Gukwon Kwon
Jing Liu
Yaling Wang