Yuan Zhou

Yuan Zhou is an Associate Professor at the University of Kentucky specializing in Mathematics. His research focuses on optimization, integer programming, and real algebraic geometry. He actively contributes to the Gomory-Johnson infinite group problem, exploring inverse semigroup theory, equivariant perturbations, and computational methods for cut-generating functions.

His scholarly work spans theoretical advancements in polyhedral combinatorics and practical implementations in mathematical software. Recent publications highlight automated proofs, decomposition theorems, and novel approaches to mixed-integer optimization. Earlier work includes applications in stochastic bandit problems and health insurance policy analysis.

Dr. Zhou’s research bridges abstract algebraic geometry with computational optimization, addressing both foundational and algorithmic challenges. He has developed tools for analyzing infinite-dimensional relaxations and extreme functions in integer programming.