Research

My research lies at the intersection of probability, statistical physics, and random discrete structures, with a focus on spin systems, Gibbs measures, phase transitions, and Markov-chain sampling.

I have also worked on additional projects in topological data analysis, graph curvature, and geometric machine learning. 

Publications and Preprints

1. The (q<1) Random-Cluster Model on Wired Trees
   arXiv

2. Uniqueness and Mixing in the Low-Temperature Random-Cluster Model on Trees and Random Graphs
   with Antonio Blanca, Reza Gheissari, and Xusheng Zhang
   arXiv
   Accepted at SODA 2027.

3. Accelerated Evaluation of Ollivier-Ricci Curvature Lower Bounds: Bridging Theory and Computation
   with Wonwoo Kang
   arXiv
   Conference version: Transport-Free Lower Bounds for Ollivier–Ricci Curvature in Higher-Order Networks, accepted at Complex Networks 2026.

4. Persistent Laplacian Diagrams
   with Inkee Jung and Wonwoo Kang
   arXiv

5. Bridging the Know-Act Gap via Task-Level Autoregressive Reasoning
   with Jihyun Janice Ahn et al.
   arXiv