• My given name is Kwan (관, 寬).

• My research focuses on mathematical fluid dynamics and elliptic regularity theory.

Employment and Education

• 09.2025 - present, Postdoctoral Researcher, University of Basel, (Mentor: Prof. Gianluca Crippa)

• 09.2024 - 08.2025, Postdoctoral Researcher, Seoul National University (Mentor: Prof. In-Jee Jeong)

• 09.2023 - 08.2024, Postdoctoral Researcher, UNIST (Mentor: Prof. Kyudong Choi)

• PhD in Mathematics, Korea University, Aug. 2023 (Advisor: Prof. Doyoon Kim)

• BS in Mathematics, Korea University, Feb. 2017 (Military leave of absence: 2011-2013)

Papers

• (with K. Choi and Y.-J. Sim) Existence and stability of Sadovskii vortices: from vortex patches to regular vorticity, arXiv

• (with P. Jung) Fabes-Stroock approach to higher integrability of Green's functions and ABP estimates with Ld drift, arXiv

• (with J.-H. Choi, J. B. Lee, J. Seo) Characterizations of weighted Besov and Triebel-Lizorkin spaces with variable smoothness, arXiv

• (with J.-H. Choi, J. B. Lee, J. Seo) On the trace theorem to Volterra-type equations with local or non-local derivatives, arXiv

• (with D. Kim) Sobolev spaces and trace theorems for time-fractional evolution equations, Potential Anal. (2025), journal, arXiv

• (with J. Bae, S.-H. Moon) Emergence of peaked singularities in the Euler-Poisson system, J. Nonlinear Sci., 35, 25 (2025), journal,  arXiv

• (with D. Kim and K.-H. Kim) Trace theorem and non-zero boundary value problem for parabolic equations in weighted Sobolev spaces, Stoch. PDE: Anal. Comput., 12, 1 (2024), journal, arXiv

• (with D. Kim and S. Ryu) Parabolic equations with unbounded lower-order coefficients in Sobolev spaces with mixed norms, J. Evol. Equ., 22 (1), 9 (2022), journal, arXiv

Talks

• PDE Seminar, KAIST, August 18, 2025

• Analysis, PDE & Probability Seminar, KIAS, July 11, 2025

• Recent Advances in Nonlinear PDEs KSIAM, Konkuk University, May 17, 2025

• NCTS Webinar on Nonlinear Evolutionary Dynamics (online), May 7, 2025

• Seminar Analysis and Mathematical Physics, University of Basel, January 22, 2025

• Department Seminar, University of Seoul, January 16, 2025

• Department Colloquium, Gangneung-Wonju National University, December 12, 2024

• SNU Rookies Workshop, Konjiam resort, November 7-9, 2024

• The 11th East Asian Conference in Harmonic Analysis and Applications, Kyoto, August 18, 2024

• Classical Analysis, PDEs, Probability & Applications (CAPPA) seminar (online), May 24, 2024

• Two day Workshop for Emerging Mathematicians: PDE, Harmonic Analysis, and Applied Math, Jeonju, May 9-10, 2024

• 2024 KMS annual meeting: Special Session - Recent Trend in Fluid Equations, KAIST, April 20, 2024

• Classical Analysis, PDEs, Probability & Applications (CAPPA) seminar (online), April 10, 2024

• 2024 Winter Workshop on Elliptic and Parabolic Problems and Related Topics, Jeongseon High 1, January 11, 2024

• 2023 Workshop on Harmonic Analysis, PDE, and Probability, KAIST, December 18, 2023

• PDE in Seoul 2023: Conference in honor of Professor Mikhail Safonov’s 70th birthday (Short Talk), Yonsei Univ., June 21, 2023

• 2023 KMS annual meeting: Special Session - Elliptic and Parabolic PDE with Applications, DCC Daejeon, April 28, 2023

• "Harmonic Analysis, Stochastic and PDEs" in Honor of the 80th Birthday of Nicolai Krylov: Poster Session, ICMS, Edinburgh, UK, June 24, 2022