University of Arizona Mathematics

About Me

Research overview

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



  • 2021-2023, NSF-DMS-2137305 "LEAPS-MPS: Hybridizable discontinuous Galerkin methods for non-linear integro-differential boundary value problems in magnetic plasma confinement". Single PI, USD $250,000.

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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In mathematics, refereed journal articles are considered the main vehicle of dissemination of original research. Because of the nature of mathematical research authors are considered on equal footing and are always listed in alphabetical order. In other words, as opposed to other disciplines, there is no "first author".

Articles and pre-prints

Conference proceedings and other publications

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Doctoral Students

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Fall 2024

MATH 425A/525A (Real analysis of one variable)

  • Meeting time: Monday, Wednesday and Friday 10:00 A.M. --- 10:50 A.M.
  • Meeting place: Room 307 of the Psychology building.
  • Office hours: Monday 11:00AM -12:00PM @ENR2 459S, Wednesday 1:00PM-2:00PM @ENR2 459S, Thursday 2:00PM-3:00PM @ENR2 459S.

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