Omar Hurtado

I am a mathematician interested in questions at the intersection of mathematical physics, spectral theory and probability, principally those which arise from the study of disordered materials in condensed matter physics. My work thus far has focused principally on 1) the Anderson tight binding model and questions of localization for this model, and specifically on showing the robustness of this phenomenon 2) random matrix products in more generality, with applications to the study of the Anderson model but also statistical questions in hyperbolic geometry (e.g. length of ``typical'' geodesics w.r.t. natural probability measures on space of geodesics).

I completed my Ph.D. at UC Irvine under the supervision of Professor Svetlana Jitomirskaya in Spring 2025. I am currently a Hale Visiting Assistant Professor at Georgia Tech, working with Professor Federico Bonetto.