Research

Research Interests

• Statistical Physics and Probability Theory

• Spin Glass Theory: Universality of energy landscape and dynamics. (including heavy-tails)

• Random Matrix Theory

• Universality of statistical physics models(e.g., KPZ universality class)

Publications & Preprints

1. Fluctuations of the free energy of the spherical Sherrington–Kirkpatrick model with heavy-tailed interaction
   T. Kim and J. O. Lee, Journal of Statistical Physics 191, 144 (2024).
   DOI: 10.1007/s10955-024-03358-w
   
   

2. Heavy-Tailed Mixed p-Spin Spherical Model: Breakdown of Ultrametricity and Failure of the Parisi Formula
   T. Kim, arXiv:2506.23987.
   
   

3. A Sharp Universality Dichotomy for the Free Energy of Spherical Spin Glasses
   T. Kim, arXiv:2601.08599 .

4. Regularized Bulk Universality versus Bounded-Disorder Nonuniversality for Annealed Complexity of Spherical p-Spin Landscapes
   T. Kim, arXiv:2607.27613. 

5. Non-Shattering at and Above the Dynamical Temperature in the Spherical Pure p-Spin Model

T. Kim, arXiv:2608.14369