Roozbeh Gharakhloo

Roozbeh Gharakhloo is an Assistant Professor in the Department of Mathematics at UC Santa Cruz. His research focuses on analytical methods in mathematical physics, particularly Riemann-Hilbert problems and their applications to orthogonal polynomials, random matrix theory, and integrable systems.

Primary research areas include asymptotic analysis of structured determinants, spectral theory of random matrices, and combinatorial aspects of mathematical physics. His work develops novel frameworks for solving complex problems in statistical mechanics and probability theory through rigorous mathematical approaches.

Recent publications demonstrate advances in topological expansions of matrix models, bordered Toeplitz determinants, and combinatorial graph theory. His research bridges pure mathematics with theoretical physics applications.