Jae-Hwan Choi(최재환)
(Updated 12th, September, 2025)
(Updated 12th, September, 2025)
I am a Research Fellow at the Korea Institute for Advanced Study (KIAS) and an affiliated member of the SNU Probability Group.
Affiliation: School of Mathematics, Korea Institute for Advanced Study
Address: Korea Institute for Advanced Study, 85 Hoegi-ro, Dongdaemun-gu, Seoul, Republic of Korea
Email: jhchoi (at) kias (dot) re (dot) kr
Other Information : [ORCID] [Google Scholar] [MathSciNet] [Mathematics Genealogy]
Resume
Employment
Research Fellow, School of Mathematics, Korea Institute for Advanced Study, 2025.05 - (Mentor: Prof. Joonhyun La)
Postdoctoral Researcher, Research Institute of Mathematics (Probability group), Seoul National University, 2024.09 - 2025.04 (Mentor: Prof. Sung-Soo Byun)
BK Postdoctoral Researcher, Department of Mathematical Sciences, KAIST, 2022. 09 - 2024.08 (Mentor: Prof. Jaeyoung Byeon)
Education
Ph.D. in Mathematics, Korea University, 2016.9 ~ 2022.8 (Advisor: Prof. Kyeong-Hun Kim)
(Military service: Republic of Korea Marine Corps (Officer), 2014.3 ~ 2016.2)
B.S. in Mathematics, Korea University, 2010.3 ~ 2014.2
Research Interests: Probability and Analysis
Deterministic and Stochastic Partial Differential Equations; Well-posedness and optimal regularity of the solution in Sobolev (type) spaces
Differential Operators; Pseudo-differential operators with restricted smoothness, Non-local operators related to stochastic processes
Ordinary and Stochastic Differential Equations; DiPerna-Lions theory
Large Deviation Principle; Freidlin-Wentzell LDP
Harmonic Analysis; Application to PDEs and SPDEs, e.g., Calderon-Zygmund theory, Littlewood-Paley theory, Multiplier theory, and Generalized stochastic process theory
Selected Publications
J.-H. Choi, B.-S. Han, D. Park, Sobolev regularity theory for stochastic reaction-diffusion-advection equations with spatially homogeneous colored noises and infinitesimal generators of subordinate Brownian motions. Journal of Differential Equations, Volume 451, 113761, 2026 [arXiv link 55 pages, Journal link 79 pages]
J.-H. Choi, A regularity theory for evolution equations with time-measurable pseudo-differential operators in weighted mixed-norm Sobolev-Lipschitz spaces. Potential Analysis, Volume 63, Issue 2, pages 557-577, 2025. [arXiv link 19 pages, Journal link 21 pages]
J.-H. Choi, I.Kim, A maximal Lp-regularity theory to initial value problems with time measurable nonlocal operators generated additive processes. Stochastics and Partial Differential Equations: Analysis and Computations, Volume 12, Issue 1, pages 352-415, 2024. [arXiv link 47 pages, Journal link 64 pages]
J.-H. Choi, J. Kang, D. Park, A regularity theory for parabolic equations with anisotropic non-local operators in Lq(Lp) spaces. SIAM Journal on Mathematical Analysis, Volume 56, No. 1, pages 1264-1299, 2024. [arXiv link 31 pages, Journal link 36 pages]
J.-H. Choi, K.-H. Kim, J. Ryu, Sobolev regularity theory for the non-local elliptic and parabolic equations on C^{1,1} open sets. Discrete and Continuous Dynamical Systems, Volume 43, Issue 9, pages 3338-3377, 2023. [arXiv link 42 pages, Journal link 40 pages]
Teaching
2017 spring semester - 2022 spring semester, Teaching Fellow at Korea University (Certification)
Course : Analysis (1,2,3), ODE, Probability and Statistics, Set theory, Linear Algebra 1.
Awards, Honors, Fellowships, and Grants
New generation research program grant (Principal Investigator), May 2025 ~ April 2027
Korea Institute for Advanced Study
Basic Research Grant (RS-2023-00252516, Participating Researcher), March 2025 ~ February 2026
National Research Foundation of Korea (NRF) funded by the Ministry of Science and ICT
Stochastic Analysis & Application Research Center (2019R1A5A1028324, Participating Researcher), September 2024 ~ February 2026
National Research Foundation of Korea (NRF) funded by the Ministry of Science and ICT
Creative Challenge Research Grant (RS-2023-00237315, Principal Investigator), June 2023 ~ April 2025
National Research Foundation of Korea (NRF) funded by the Ministry of Education
Miwon Du-Myeong Fellowship, May 2023
Miwon Commercial Co., Ltd. & Department of Mathematical Sciences, KAIST
Graduated with Honors (Great Honor; Magna Cum Laude), February 2014
Korea University
National Science and Engineering Scholarship, March 2010 ~ February 2014
Korea Student Aid Foundation (KOSAF)