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About me
About me
My name is Kyunghoo Mun (IPA: /' kjʌŋ. huː mun / ). I am a Ph.D. candidate in the Department of Mathematical Sciences at Carnegie Mellon University, advised by Professor Matthew Rosenzweig. Before I started my doctoral studies, I worked as a Deep Learning researcher at Krafton (a Korean game company, known for PUBG) under the supervision of Professor Kangwook Lee. I earned my B.S. in Mathematics from Seoul National University, where I was advised by Professor Insuk Seo. I graduated from Seoul Science High School.
Research Interest
Research Interest
I am interested in interacting particle systems analyzed through nonlinear partial differential equations (PDE) and probability theory. My goal is to deepen our understanding of the interplay between nonlinear interactions and stochastic noise. This interplay gives rise to rich mathematical phenomena such as, phase transition, propagation of chaos, the log-Sobolev inequality, and the stability of stationary solutions. I also explore statistics, optimization, and deep learning, seeking analytical problems.
Papers and Preprints
Papers and Preprints
KM, Matthew Rosenzweig, The Phase Transition of the 2D Doi-Onsager and Other Models, In Preparation.
KM, Matthew Rosenzweig, Critical Fluctuations of Gibbs Ensembles with Multimodal Energy Interactions, In Preparation.
KM, Matthew Rosenzweig, Phase Transitions and Linear Stability for the Mean-Field Kuramoto-Daido model, 2026, arxiv.org/abs/2602.14954
Jaewoong Cho, Kartik Sreenivasan, Keon Lee, KM, Soheun Yi, Jeong-gwan Lee, Anna Lee, Jy-yong Sohn, Dimitris Papailiopoulosw, Kangwook Lee, Mini-Batch Optimization of Constrastive Learning, Transactions on Machine Learning Research, 2024, https://openreview.net/pdf?id=Nux7OVXpJ9
KM, Dynamical phase transition for the homogeneous multi-component Curie-Weiss-Potts model, 2026, https://doi.org/10.1007/s10955-026-03571-9 , Journal of Statistical Physics.
Talks and Conferences
Talks and Conferences
2026 SIAM Annual Meeting, Cleveland, USA. (Invited Talk, Upcoming Jul. 2026)
SIAM Conference on Analysis of PDE, Pittsburgh, USA. (Invited Talk, Nov. 2025)
Eastern Conference in Mathematical Finance, Carnegie Mellon University, Pittsburgh, USA. (Poster, Oct. 2025)
Summer School in Optimal Transport and Applications, University of California, Santa Barbara, USA. (Lightning Talk, Jul. 2025)
Frontiers in Applied Analysis, Carnegie Mellon University, Pittsburgh, USA. (Poster, Jun. 2025)
Global Basic Research Lab - Kinetic Dynamics and Continuum Mechanics, Yonsei University, South Korea (Invited Talk, May 2025)
Workshop on Probability and Mathematical Physics in Gimhae, Gimhae, South Korea (Dec. 2024)
Stochastic PDEs in Seoul 2024, KIAS, Seoul, South Korea (Aug. 2024)
The 2024 Summer School on Random Matrices, University of Michigan, Ann Arbor, USA (Jun. 2024)
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