About

Mariana Olvera-Cravioto is a Professor and Director of M.S. Studies at the University of North Carolina at Chapel Hill, affiliated with the Department of Statistics & Operations Research. She earned her Bachelor's degree in Applied Mathematics from the Instituto Tecnológico Autónomo de México (ITAM), a Master's degree in Statistics from Stanford University, and completed her Ph.D. at Stanford University in the Department of Management Science and Engineering, where she worked on problems related to the single-server queue with heavy-tailed processing times. Her research interests include applied probability, random graphs, heavy-tailed large deviations, weighted branching processes, and stochastic simulation. Her research focuses on the stability of directed networks modeled by random graphs, analyzing how properties such as the size of strongly connected components and distances between vertices are affected by perturbations like addition or removal of arcs. She also investigates inversion methods for computing solutions to distributional equations, particularly fixed-point equations on weighted trees, aiming to develop efficient numerical approaches for complex problems in operations research, computer science, and mathematical physics. Mariana Olvera-Cravioto has held academic positions at Columbia University and UC Berkeley before joining UNC Chapel Hill in 2018.

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