Young Ho Kim

Ph.D. Student in Mathematics, Indiana University Bloomington

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About

• I am a fifth year Ph.D. student in Mathematics, Indiana University Bloomington.
• My advisor is Professor Nam Q. Le.
• I received a B.S. in Mathematical Sciences from Seoul National University, Seoul, South Korea.
• email: yk89 (at) iu (dot) edu

Here is my CV (Updated Mar 2025).

Research Interests

I am interested in the study of Partial Differential Equations. So far, I have worked on equations of Monge-Ampère type that include the following:

• Linearized Monge-Ampère equations

• Singular Abreu equations

Publications/Preprints

• (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
• 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

Talks/Presentations

• 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
• Workshop on PDEs, Math Physics and Numerics 2025, Texas A&M University, Aug 2025

Teaching

Indiana University Bloomington

• Spring 2025: Transition to Calculus 2
• Fall 2024: Introduction to College Mathematics I
• Spring 2024: Introduction to Calculus with Applications
• Fall 2023: Basic Algebra for Finite Mathematics
• Spring 2023: The Mathematics of Decision and Beauty
• Spring 2022: The Mathematics of Decision and Beauty