University of Arizona Mathematics

About Me

My main research interests lie in the areas of numerical analysis, scientific computing and computational physics. Currently I work developing numerical methods for problems arising in the computational simulation of magnetically confined plasmas. I have also interest in the application of integral equation techniques for the study of time domain wave propagation, in the applications and theoretical development of the Boundary Element Method (BEM) and the Hybridizable Discontinuous Galerkin Method (HDG), and in formulations that involve the coupling of integral and partial differential equations.

My detailed resume can be downloaded below


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Short Bio

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) both from the National Autonomous University of Mexico (UNAM). I graduated with a Ph. D. in Applied Mathematics from the University of Delaware, where I studied under the supervision of the late Francisco-Javier Sayas. Between 2016 and 2020 I was a Postdoctoral Associate at the Courant Institute of Mathematical Sciences, where my mentor was Antoine Cerfon.

Diversifying STEM

I am commited to increasing the diversity in Science Technology Engineering or Mathematics (STEM). If you have an interest in the mathematical sciences in particular (or in science and engineering in general) but you somehow feel that "you don't belong" please reach out to me. I will be happy to talk about the possibilities available for you and my own personal experiences.

I am currently a faculty mentor for the MΔth Alliance, a nationwide effort to make sure that every student from an under represented or underserved community with an interest in mathematics has the opportunity and the necessary tools to earn a doctoral degree. You can check my mentor profile and learn more about the MΔth Alliance here.

In 2018, as part of the Hispanic Heritage Month celebration of the contributions of Latinx and Hispanic mathematicians, I was featured by as a prominent early-career Hispanic mathematician. I am humbled and thankful for the honor.

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Articles and pre-prints

Conference proceedings and other publications

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Spring 2021: MATH 263 (Introduction to statistics and biostatistics) Section 003

IMPORTANT: The class is scheduled in the synchronous LIVE ONLINE modality. Lectures and office hours will take place over zoom at fixed dates and times.