Research

Publications

1. (with Sung-Soo Byun) Three topological phases of the elliptic Ginibre ensembles with a point charge, submitted, arxiv:2502.02948

Ongoing Projects

1. (in prep.) (with Sung-Soo Byun and Meng Yang) Free energy expansion of the elliptic Ginibre ensembles with a point charge.

2. (in prep.) (with Arno B. J. Kuijlaars, Erwin Miña-Díaz, and Aron Wennman) Bergman polynomials on a half lemniscate. 

3. (with Sung-Soo Byun, Seung-Yeop Lee, and Meng Yang) Riemann–Hilbert analysis on weakly non-Hermitian random matrices 

   • Moments of characteristic polynomials 

   • Local correlation kernel at root-type Fisher–Hartwig singularity

4. (with Sung-Soo Byun, Sabya Mukherjee, and Rashmita) Quadrature domains with multi-critical singularities.

5. (with Sung-Soo Byun and Yong-Woo Lee) Half-space constrained Riesz gas problem.

Talks

1. [2026/02/11] (Poster) The 18th Mathematical Society of Japan, Seasonal Institute (MSJ-SI): Analysis, Geometry and Probability on Metric Measure Spaces, Kyushu University Nishijin Plaza, Fukuoka, Japan.

2. [2026/01/07] The 3rd Workshop on Integrable Systems and Random Matrix Theory, Great Bay University, Dongguan, China.

3. [2025/09/11] (Poster) Random Matrix Theory Summer School in Japan 2025, Kyoto University, Japan.

4. [2025/09/03] (Contributed) Fifth ZiF Summer School Randomness in Physics and Mathematics, ZiF, Bielefeld, Germany. 

5. [2025/08/15] Log-gases in Caeli Australi, MATRIX, Creswick, Australia. 

   • cf. slides can be found at the conference website.

6. [2025/06/24] (Contributed) Probability Summer School in Korea 2025, Ramada Sokcho, Korea. 

7. [2025/05/21] Bielefeld–Melbourne–Seoul Random Matrix Seminar, virtual.

8. [2025/04/25] 2025 KMS Spring Meeting, Focus Session: Statistical Mechanics and Probability, KAIST, Daejeon, Korea.

9. [2025/03/21] HCMC Analysis & Probability Seminar, KIAS, Seoul, Korea.

10. [2025/03/17] SNU Probability Group Research Seminar, SNU, Seoul, Korea.

Miscellaneous

Reading Seminars:

1. [2025/10/14] SNU Probability Group Reading Seminar, SNU, Seoul, Korea.

1. • Randomness in Dispersive PDEs: based on Andrea Nahmod's lectures in RMT summer school in Japan.

2. [2025/06/13, 07/01] SNU Probability Group Reading Seminar, SNU, Seoul, Korea.

1. • Characteristic polynomial dualities for non-Hermitian random matrices & Dualities for moments.

   • sections 5 and 6 from "Dualities in Random Matrix Theory" by Peter Forrester, arxiv:2501.07144.