Research

Preprints

1. Confinement transitions in half-space constrained Riesz gases (with Sung-Soo Byun and Yong-Woo Lee), submitted, arXiv:2608.11813

2. Free energy expansion of the determinantal Coulomb gases in the quadratic fields with a point charge (with Sung-Soo Byun and Meng Yang), submitted, arXiv:2605.29594

Publications

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

• 2025 Matrix Annals Part II (online). cf. Peer-reviewed summary of an upcoming result.

2. Three topological phases of the elliptic Ginibre ensembles with a point charge (with Sung-Soo Byun)

• Constr. Approx. (online), 2026. arXiv:2502.02948

Ongoing Projects

• Free energy expansion for planar determinantal Coulomb gases with general external potentials

• Bergman polynomials on a half lemniscate

• Moments of characteristic polynomial of weakly non-Hermitian random matrices

• Quadrature domains with multi-critical cusps and double points

• Large deviations for the shape of random partitions

Talks

1. [2026/12/1?] (Scheduled) Probability Workshop in Korea Winter: 2026/2027, Paradise Hotel Busan, Korea.

2. [2026/10/29] 2026 KMS Annual Meeting, Proability and Statistics Session, GIST, Gwangju, Korea.

3. [2026/09/23] Bielefeld–Melbourne–Seoul Random Matrix Seminar, virtual.

4. [2026/09/21] SNU Probability Group Research Seminar, SNU, Seoul, Korea.

5. [2026/08/21] 18th Orthogonal Polynomials, Special Functions, and Applications (OPSFA-18), Doshisha University, Kyoto, Japan.

6. [2026/06/10] Classical Analysis Seminar, KU Leuven, Belgium.

7. [2026/01/07] The 3rd Workshop on Integrable Systems and Random Matrix Theory, Great Bay University, Dongguan, China.

8. [2025/08/15] Log-gases in Caeli Australi, MATRIX, Creswick, Australia. 

9. [2025/06/24] Probability Summer School in Korea 2025, Ramada Sokcho, Korea. 

10. [2025/05/21] Bielefeld–Melbourne–Seoul Random Matrix Seminar, virtual.

11. [2025/04/25] 2025 KMS Spring Meeting, Focus Session: Statistical Mechanics and Probability, KAIST, Daejeon, Korea.

12. [2025/03/21] HCMC Analysis & Probability Seminar, KIAS, Seoul, Korea.

13. [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 from RMT summer school in Kyoto, 2025.

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.

Poster Presentations & Short Talks (<15 min):

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.

1. [2025/09/11] (Poster) Random Matrix Theory Summer School in Japan 2025, Kyoto University, Japan.

2. [2025/09/03] Fifth ZiF Summer School Randomness in Physics and Mathematics, ZiF, Bielefeld, Germany.