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


CV



Funding


  • 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 lathisms.org as a prominent early-career Hispanic mathematician. I am humbled and thankful for the honor.




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Publications

Articles and pre-prints




Conference proceedings and other publications





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Doctoral Students




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Teaching

Fall 2021: DATA/MATH 363 (Introduction to Statistical Methods) Section 002


IMPORTANT: The class is scheduled in the IN PERSON modality. Lectures will take place on campus at the prescribed times and students are expected to attend lectures presencially. Office hours will take place over zoom at fixed dates and times to be determined in the first weeks of class.


  • Meeting time: Mondays and Wednesdays 4:00 P.M. --- 5:15 P.M.
  • Meeting place: Room 210 of the Richard A. Harvill Building.
  • Office hours: Will take place over zoom. Monday 2:00 PM - 3:00 PM, Wednesday 5:30 PM - 6:30 PM, Friday 1:00 PM - 2:00 PM. The link to the zoom meeting room and instructions on how to authenticate can be found on the course's D2L site.
  • The class SYLLABUS can be found here.
  • The lecture SCHEDULE with links to the corresponding VIDEOS and NOTES can be found here.
  • You can find many resources for the class including the textbok and crash-courses for R in this page.
  • Guidelines for homework assignements and checkpoints can be found here.


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