Research Areas
Number Theory, Langlands Program: Beyond Endoscopy
Education
2022.07-2025.09 Postdoctoral Fellow, Department of Mathematics, University of Toronto.
2016.08-2022.06 PhD. in Mathematics, Department of Mathematics, University of Toronto.
2015.09-2016.08 Masters in Mathematics, Department of Mathematics, University of Toronto.
2014.08-2014.12, Research Assistant, Centro de Investigación en Matemáticas (CIMAT), Guanajuato, México.
2008.08-2014-03, Bachelor in Mathematics, Centro de Investigación en Matemáticas (CIMAT), Guanajuato, México.
Awards
F. V. Atkinson Teaching Award, Awarded by the Department of Mathematics, University of Toronto.
2019 International Graduate Student Scholarship, Awarded by the Department of Mathematics, University of Toronto
2019 Blyth Fellowship, Awarded by the Department of Mathematics, University of Toronto
2014 Sotero Prieto Award for the best Mexican undergraduate thesis in mathematics, First Place, Awarded by the Mexican Mathematical Society.
2008 Honourable Mention, 49th International Mathematical Olympiad, Madrid, Spain, July 2008
Publications
Beyond Endoscopy via Poisson Summation for GL(2, K), with Melissa Emory, Debanjana Kundu, Tian An Wong, Submitted
Zeta Functions of Certain Quadratic Orders, Journal of Number Theory, Volume 252, November 2023, p. 379 – 404
The Multiplicative Formula of Langlands for Orbital Integrals in GL(2), Annales Mathématiques du Québec, September 2025
Impacted Buildings for GL(2), with Zander Karaganis. Submitted. Available in ArXiV.
Knots inside Fractals, with Joshua Broden, Noah Nazareth, Niko Voth, Experimental Mathematics, Accepted for Publication.
Knots and Coxeter Groups, with Dylan Burke, Geoffrey Cuff-Chartrand, Mateusz Kazimierczak and Mohammadamin Mobedi. Submitted. Available in ArXiV.
Ph.D. Thesis: Explorations on Beyond Endoscopy
Spinorially Twisted Spin Structures, I: Curvature Identities and Eigenvalue Estimates, with Rafael Herrera, Differential Geometry and its Applications , Volume 46, June 2016, Pages 79-107
