Young Ho Kim

Visiting Assistant Professor, Texas A&M University

About

I am currently a Visiting Assistant Professor in the Department of Mathematics at Texas A&M University. Professor Minh-Binh Tran is my mentor.
I received my Ph.D. in Mathemematics in 2025 from Indiana University Bloomington under the supervison of Professor Nam Q. Le.
I received a B.S. in Mathematical Sciences from Seoul National University in Seoul, South Korea.
email: yhkim (at) tamu (dot) edu

Here is my CV (Updated Nov 2025).

I am interested in the study of Partial Differential Equations. Specifically, I have worked on the following equations.

Monge-Ampère type equations (including the linearized Monge-Ampère equations and singular Abreu equations)
Kinetic wave equations

(with Nam Le, Ling Wang, and Bin Zhou) Singular Abreu Equations and linearized Monge-Ampère equations with drifts, accepted to J. Eur. Math. Soc. (JEMS). file
On approximation of convex functionals with a convexity constraint and general Lagrangians, accepted to Proc. Roy. Soc. Edinburgh Sect. A. file
Interior Harnack inequality and Hölder estimates for linearized Monge-Ampère equations in divergence form with drift, Calc. Var. PDE. 64,123 (2025). file
On the One-dimensional Singular Abreu Equations, Appl. Math. Optim. 90,35 (2024). file
(with Yuri V. Lvov, Leslie M. Smith, and Minh-Binh Tran) On a wave kinetic equation with resonance broadening in oceanography and atmospheric sciences, arXiv:2510.25031, preprint. file

PDE/Applied Math Seminar, Indiana University Bloomington, Apr 2023
Graduate Student Seminar, Indiana University Bloomington, Apr 2024
KI-SAARC Summer School in Optimal Transport, KAIST, Jun 2024
PDE/Applied Math Seminar, Indiana University Bloomington, Oct 2024
Graduate Student Seminar, Indiana University Bloomington, Nov 2024
PDE/Applied Math Seminar, Indiana University Bloomington, Mar 2025
14th Ohio River Analysis Meeting, University of Cincinnati, Mar 2025
Mitake-Tran PDE Reading seminar, online, Apr 2025.
Workshop on PDEs, Math Physics and Numerics 2025, Texas A&M University, Aug 2025
SIAM Texas-Lousiana Sectional Meeting, University of Texas at Austin, Sep 2025
AMS Fall Southeastern Sectional Meeting, Tulane University, Oct 2025
Postdoc lunch talks, Texas A&M University, Oct 2025