Research

Current keywords of interest: 

• Torus action on Richardson varieties (and braid varieties)

• Cohomology of open positroid varieties and braid varieties

• Exact Lagrangian embedding from 3D plabic graphs and Demazure weaves

• Combinatorics of Bruhat interval 

• Positive Geometry and Amplituhedron

*The order of the list has nothing to do with my preference!

Preprints: 

1. Cluster automorphism group of braid varieties , Submitted

Publications :

1. (with Eugene Gorsky, Tonie Scroggin and José Simental) Splicing Braid varieties, accepted to Canadian Mathematical Communications,  arXiv

2. (with Eugene Gorsky, Tonie Scroggin and José Simental) Splicing skew shaped positroids, accepted to Combinatorial theory, (arXiv)

• Related Extended abstract appeared in Sem. Loth. de Comb. 93B (2025), Article #128

• FPSAC talk slide 

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.