Biography

I recently finished my role as a Postdoctoral Researcher at the School of Mathematics at the University of Edinburgh working on the project Numerical and analytical study of undular bores governed by the full water wave equations and bi-directional Whitham-Boussinesq equations in collaboration with Prof. Noel Smyth and Prof. Timothy Marchant. My research primarily consists of developing and using analytical, asymptotic, and numerical tools to investigate the quantitative and qualitative features of nonlinear dispersive wave phenomena particularly in water waves systems. The problems I studied so far, beyond the mathematical challenges they pose are of an applied nature with concrete implications in oceanography, earth sciences, and engineering. Before joining University Edinburgh, I was a Craig Huneke postdoctoral fellow at the Mathematical Sciences Research Institute in Berkeley, California, attending the research program Hamiltonian systems, from topology to applications through analysis program during the Fall 2018 semester.

I obtained my Ph.D. from the Mathematics and Mechanics Department at the Applied Mathematics Institute (IIMAS) at the Universidad Nacional Autónoma de México, in 2017, working on non-local shallow water wave models over variable topography under the supervision of Dr.Panayotis Panayotaros In my doctoral dissertation, I proposed a Hamiltonian non-local shallow water wave model for flow over variable topography using the Hamiltonian formulation of the free surface potential flow introduced by Zakharov-Craig-Sulem.