• tonatiuh
  • 1010 Warren Weaver Hall.
    Courant Institute of Mathematical Sciences.
    New York University.
    251 Mercer Street, New York, NY. 10012-1185.

I'm a Postdoctoral Associate at the Courant Institute of Mathematical Sciences. As of August, 2020 I will be moving to The University of Arizona where I will take a position as Assistant Professor of Mathematics.

My main research interests lie in the areas of numerical analysis, scientific computing and computational physics. Currently I work with Antoine Cerfon developing numerical methods for problems arising in the computational simulation of plasmas. I have also interest in the application of integral equation techniques for the numerical simulation of time domain wave propagation.

Some of the frequent techniques appearing on my current work are the use of high order hybridizable discontinuous Galerkin methods and spectral collocation techniques. For time-domain wave propagation problems I specialize in boundary integral equation formulations and their corresponding discretization by the Boundary Element Method in combination with Convolution Quadrature for time evolution. I'm particularly interested in the coupling of Boundary Elements with Finite Elements and discontinuous Galerkin for the treatment of problems involving homogeneous unbounded domains interacting with bounded regions with non-homogeneous physical properties.

I got a Ph.D. in Applied Mathematics at the University of Delaware under the supervision of the late Francisco-Javier Sayas. My doctoral research focused on the mathematics arising from the study of wave scattering with a strong emphasis on the design and rigorous analysis of methods for numerical simulation of wave propagation in the time domain.

I was born and raised in Mexico City, I got a B.Sc. in Physics (under the supervision of Iouri N. Skiba ) and a M.Sc. in Mathematics (under the supervision of Antonio Capella) from the National Autonomous University of Mexico (UNAM). In 2018 I was featured by as part of the Hispanic Heritage Month celebration of the contributions of Latinx and Hispanic mathematicians. I am humbled and thankful for the honor.

You can find more details about me and my research interests through the website or you can take a quick look at my CV for a brief summary. Feel free to contact me.

Last update: June 26, 2020.