Bio

I obtained my bachelor's degree in Pure Mathematics at the Universidad Autónoma de Zacatecas (Mexico). In my undergraduate thesis, I explained the basics of the deformation process of the Ricci flow over rotational symmetric Riemannian manifolds. This was done under the external supervision of Prof. Ricardo Vila Freyer from CIMAT. During the undergraduate period, I was also involved in olympiad math competitions, as a trainer of the regional team for national competitions. 

I obtained my Master's degree in Pure Math from CIMAT, through qualification exams in the areas: Linear Algebra, Real and Complex Analysis, ODE, and Lebesgue Measure Theory.

I stayed in CIMAT for my Ph. D., to work under the supervision of Profs. Pablo Suárez-Serrato and Jimmy Petean Humen. The main results of my Ph.D. thesis were the uniqueness of solutions of the U(2)-Yamabe equation of the Koiso-Cao soliton and the existence of singular Poisson structures on wrinkled fibrations. 

The Center for Mathematical Sciences (UNAM) in Morelia was the host of my first postdoctoral experience. I was studying Algebraic Topology topics with Prof. Noé Bárcenas Torres. Currently, we have a work in progress about the construction of Ricci solitons using equivariant fibrations.

From 2019 to 2021, I was a postdoctoral assistant professor in the Department of Mathematics of the Universidad de Los Andes (Bogotá, Colombia), where I collaborated with Prof. Jean Carlos Cortissoz Iriarte in the study of Yamabe equation as well as prescribed curvature problems. During my stay, I additionally had teaching duties. I lectured Group Theory and Differential Geometry of smooth manifolds, for math students; and Linear Algebra for engineering and physics students. I also lectured on advanced topics in Geometric Analysis: geometric flows and the Yamabe Problem, for math graduate students. I was the supervisor of the undergrad thesis of Sergio Medrano on conformal geometry and its applications to image recognition. 

I have visited internationally renowned research centers such as the Mathematical Sciences Research Institute, the  Oberwolfach Research Institute for Mathematics, and the Centre International de Rencontres Mathématiques

Currently, I am a postdoctoral fellow at the Faculty of Sciences at UNAM. My project is about the existence of solutions of nodal solutions to the Yamabe equation and the Q-curvature equation.

Since 2022, I hold the distinction of National Researcher, Level I  in the Mexican National System of Researchers. 

This is an updated version of my  CV.