Research

Research interests

I work in the field of probability theory and analytic combinatorics. In particular, I am interested in studying various lattice models and combinatoric statistics, with a point of emphasis on scaling limit.

Publications

Journal Publications & Preprints

• Exceptional points of discrete-time random walks in planar domains [with Y. Abe and M. Biskup], submitted (2019).

• On the joint distribution of descents and signs of permutations [with J. Fulman, G. Kim, and T. Kyle Petersen], submitted (2019).

• Central limit theorem for peaks of a random permutation in a fixed conjugacy class of S_n [with J. Fulman and G. Kim], submitted (2019).

• A central limit theorem for descents and major indices in fixed conjugacy classes of S_n [with G. Kim], accepted to Adv. in Appl. Math. (2018).

• Central limit theorems for descents in conjugacy classes of S_n [with G. Kim], J. Combin. Theory Ser. A (2020).

PhD Thesis

• Limit theorems for random walk local time, bootstrap percolation and permutation statistics, Defended in December 2019.