About me

I am currently a postdoctoral researcher at SLMath, Berkeley since Aug. 2025. Previously, I worked in the group of Martin Hairer at the École Polytechnique Fédérale de Lausanne (EPFL) (Sep. 2023 - Jul. 2025), and at the Korea Institute for Advanced Study (KIAS) (Sep. 2022 - Aug. 2023).

I received my Ph.D. in Aug. 2022 from the Pohang University of Science and Technology (POSTECH) under the guidance of Kunwoo Kim.

Research Interest

My research interest lies in Probability and Stochastic Analysis. In particular, I study Stochastic Partial Differential Equations (SPDEs) and the qualitative properties of their solutions.

Publications and Preprints

Ergodicity of infinite volume Phi4_3 at high temperature. (with P. Duch, M. Hairer, and W. Zhao), https://arxiv.org/abs/2508.07776, (2025), preprint, submitted.
Lower bounds on the top Lyapunov exponent for linear PDEs driven by the 2D stochastic Navier-Stokes equations (with M. Hairer, T. Rosati and S. Punshon-Smith), https://arxiv.org/abs/2411.10419, (2024), preprint, submitted.
On the support of solutions to nonlinear stochastic heat equations (with B.-S. Han and K. Kim), Electronic Journal of Probability, vol. 29 (2024), 1-29.
L_p regularity theory for the stochastic reaction-diffusion equation with super-linear multiplicative noise and strong dissipativity (with B.-S. Han), Journal of Differential Equations, vol. 379, no. 15, (2024), 569-599.
Fractal geometry of the PAM in 2D and 3D with white noise potential (with P. Ghosal), https://arxiv.org/abs/2303.16063, (2023), preprint, to appear in Annals of Probability.
The compact support property for solutions to the stochastic partial differential equations with colored noise (with B.-S. Han and K. Kim), SIAM Journal on Mathematical Analysis, vol. 55, no 6, (2023), 7665-7703.
Fractal Geometry of the Valleys of the Parabolic Anderson Equation (with P. Ghosal), (2022), preprint, to appear in Annales de l'Institut Henri Poincaré, Probabilités et Statistiques.
Macroscopic multi-fractality of Gaussian random fields and linear SPDEs with colored noise, Journal of Theoretical Probability, 36, (2022), 926-947.
Limit theorems for time-dependent averages of nonlinear stochastic heat equations (with K. Kim), Bernoulli, 28, (2022), no.1, 214-238.

Honors and Awards

(2023) Excellent Ph.D. Thesis Award (Department of Mathematics at POSTECH).
(2021) POSTECHIAN Fellowship.
(2018) Excellent Teaching Assistant Award.
(2013-2016) National Excellence Scholarship (Science and Engineering).

Activities

Referee for Annals of Probability, Electronic Journal of Probability, Journal of Differential Equations, Stochastic Models, Transactions of the American Mathematical Society, Nonlinear Differential Equations and Applications (NoDEA).
Reporter for Arbeitsgemeinschaft: QFT and Stochastic PDEs at Oberwolfach (2024).

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