My research lies in probability, statistical physics, and random discrete structures, with a particular interest in spin systems, Gibbs measures, phase transitions, and sampling algorithms.
I have also worked on additional projects in topological data analysis, graph curvature, and geometric machine learning.
Publications and Preprints
Uniqueness and Mixing in the Low-Temperature Random-Cluster Model on Trees and Random Graphs (with Antonio Blanca, Reza Gheissari, Xusheng Zhang) (pdf)
Accelerated Evaluation of Ollivier-Ricci Curvature Lower Bounds: Bridging Theory and Computation (with Wonwoo Kang) (pdf)
Persistent Laplacian Diagrams (with Inkee Jung, Wonwoo Kang) (pdf)
Bridging the Know-Act Gap via Task-Level Autoregressive Reasoning (with Jihyun Janice Ahn et al.) (pdf)