Current keywords of interest:
Combinatorics of Bruhat intervals, Kazhdan-Lusztig R-polynomials, Braid varieties (especially, open Richardson varieties) and its cluster algebra structure (using 3D plabic graphs and Demazure weaves), Cluster automorphism groups, Khovanov-Rozansky homology (HHH), Positive Geometry and Amplituhedron!
Publications and Preprints:
(with Eugene Gorsky, Tonie Scroggin and José Simental) Splicing skew shaped positroids (arXiv:2503.04923) Submitted
Extended abstract accepted at FPSAC 2025 Talk
(with Eugene Gorsky, Tonie Scroggin and José Simental) Splicing Braid varieties (arXiv:2505.08211) Submitted
CMSA Summer school on Total positivity and Quantum field theory lightning talk slide
Cluster automorphism group of braid varieties , Submitted
Undergraduate research experience
During my undergrad, I participated in undergraduate research internship program at Seoul National University during Dec 2020-Feb 2022. Especially, I found my passion in algebraic combinatorics thanks to Prof. Seung Jin Lee. I mainly studied Schubert calculus with an emphasis in symmetric function theory, bumpless pipedream model and some equivariant cohomologies in back stable Schubert calculus. I have a conjectural formula for triple Edelman-Greene coefficient appearing in triple Stanley Symmetric function.