Research

My research interests lie in analytic, enumerative, and probabilistic combinatorics. More specifically, I have done research in asymptotics of permutation statistics and Sperner problems.

My Erdos number is 2.

Publications

9. Enumerative theory for the Tsetlin library [with Sourav Chatterjee and Persi Diaconis], Accepted to Journal of Algebra (2023)

8. Ultrasound lesion detectability as a distance between probability measures [with Dongwoon Hyun, Nick Bottenus, and Jeremy Dahl], IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 69(2) (2021), 732-743.

7. On the joint distribution of descents and signs of permutations [with Jason Fulman, Sangchul Lee, and T. Kyle Petersen], The Electronic Journal of Combinatorics, 28(3) (2021), 30 pp.

6. The absolute orders on the Coxeter groups A_n and B_n are Sperner [with Lawrence H. Harper and Neal Livesay], The Electornic Journal of Combinatorics, 27(3) (2020), 10 pp.

5. Central limit theorem for peaks of a random permutation in a fixed conjugacy class of S_n [with Jason Fulman and Sangchul Lee], Annals of Combinatorics, 26 (2022), 97-123.

4. The symmetric group, ordered by refinement of cycles, is strongly Sperner [with Lawrence H. Harper], Proceedings of the AMS, 149(7) (2021), 2753-2761.

3. A central limit theorem for descents and major indices in fixed conjugacy classes of S_n [with Sangchul Lee], Advances in Applied Mathematics, 124 (2021), 24 pp.

2. Central limit theorem for descents in conjugacy classes of S_n [with Sangchul Lee], Journal of Combinatorial Theory Series A, 169 (2020), 13 pp.

1. Distribution of descents in matchings, Annals of Combinatorics, 23 (2019), 73-87.

Ph.D. Thesis

Distribution of descents in matchings, Defended in December 2017, 63 pp.