I obtained my Ph.D. in 1995 at the University of Minnesota on Partial Differential Equations and Control Theory. I am a full professor at the Center for Research in Mathematics (CIMAT). I have been visiting professor at the Applied Geophysics Department, CICESE (2003-2004), the Department of Chemical and Petroleum Engineering-Centre Simulation and Visualization University of Calgary (2013- 2014), and Universidad de Guadalajara, CUCEI, Mathematics Department (2018-2019).
My research interests are multidisciplinary, Mathematical Modeling, Numerical Analysis, Partial Differential Equations, and Functional Analysis. Some recent publications are on Mathematical modeling and simulation of geophysical phenomena.
I have mentored 9 Ph.D. and more than 30 master's students. The degrees conferred are in Applied Mathematics, Computer Science, and Engineering.
I have edited the book Mathematical and Computational Models of Flows and Waves in Geophysics in the CIMAT Lecture in Mathematical Sciences, published in collaboration with Birkhäuser. Also, I have edited several Lecture Notes in the Notes on Modeling and Numerical Methods series, edited by CIMAT – CIMNE, as well as Numerical Methods Conference Proceedings.
I was the Mexican leader of the project Partial Differential Equations related to waves and inverse problems: applications to Physics, Biology, and Clean Energy. CONACYT - ECOS NORD. 2016 – 2019. During the project, I was a regular visitor at INSA-Rouen. In R&D, I have participated in Computational Modeling Projects for PEMEX, the Mexican Oil Company: Air injection as an enhanced oil recovery process, and Alternating water and gas injection as an enhanced oil recovery process (2010 - 2013).