Tayyab Nawaz (UIUC Math) Application of Stein's method in Spin Glass Systems Abstract: In 1960’s, Stein introduced a method to bound the distance between two probability distributions using a specific probability metric. For a large complex stochastic system, mean field theory is considered as a starting point to study its physical properties. In mean field theory we assume that each particle interacts with the rest of the system in a homogeneous 'average' way. In this talk, I will discuss how Stein’s method and mean field theory are used to study the energy minimization problem for spin-glass models in statistical mechanics. I will also discuss the idea of optimal Monte Carlo algorithms for solving energy minimization problem and related open problems.