I am a postdoctoral fellow at the Technion – Israel Institute of Technology. My hosts are Eviatar Procaccia and Ron Rosenthal.

I recently finished my Ph.D. with the probability group in the Department of Mathematics at the University of British Columbia. I worked under the supervision of Omer Angel and Martin Barlow. Before that, I completed my M.Sc. in Mathematics at UBC under the supervision of Martin Barlow. I got my B.Sc. in Mathematics at the University of Guanajuato / CIMAT in Mexico.

More details on my academic background and activities are available on my CV.

My research is on discrete probability. I study stochastic models defined over combinatorial structures, such as random walks, random trees, and competitive growth processes. My work describes the large-scale behavior of discrete random processes and their rigorous connections to continuous models through the scaling limit.

The Continuum Random Tree (aka CRT or Brownian CRT) is my favourite random object.

- December 14-18: Fest 2020 (evento en español)
- January 19, 2021: Joint Israeli Probability Seminar (online)

- Scaling limits of uniform spanning trees in three dimensions. UBC Probability Seminar, September 2020.
- La geometría de los fenómenos críticos. Coloquio Oaxaqueño de Matemáticas, October 2020.

- David Croydon: Scaling limits of the two- and three-dimensional USTs. Oxford Discrete Mathematics and Probability Seminar, October 2020.

*The number of spanning clusters of the uniform spanning tree in three dimensions*, with Omer Angel, David Croydon and Daisuke Shiraishi. To appear in Adv. Stud. Pure Math. Proceedings of “The 12th Mathematical Society of Japan, Seasonal Institute (MSJ-SI) Stochastic Analysis, Random Fields and Integrable Probability.”

[ arXiv | pdf | abstract | BibTeX ]*Scaling limit of the three-dimensional uniform spanning tree and the associated random walk*, with Omer Angel, David Croydon and Daisuke Shiraishi. Preprint.

[ arXiv | pdf | abstract | BibTeX ]*Chase-escape with death on trees*, with Erin Beckman, Keisha Cook, Nicole Eikmeier and Matthew Junge. Preprint.

[ arXiv | pdf | abstract | BibTeX ]

*A macroscopic view of two discrete random models*,

PhD Thesis. Supervisors: Omer Angel and Martin Barlow.

[ UBC library | abstract | | slides for the oral defence | ]*Introduccion a los espacios de Bergman (Introduction to Bergman spaces)*,

Tesis de Licenciatura (Undergraduate thesis, in Spanish). Director de tesis (thesis advisor): Fernando Galaz Fontes.

[ pdf | resumen (abstract) | ]