Sarai Hernandez-Torres

I recently finished my PhD 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. Prior to this, I completed my M.Sc. in Mathematics at UBC under the supervision of Martin Barlow. I got my B.Sc. in Mathematics at University of Guanajuato / CIMAT in Mexico.

I will start in October a postdoctoral position at the Technion – Israel Institute of Technology. My hosts are Eviatar Procaccia and Ron Rosenthal.

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

Research interests

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.

Recent and upcoming talks

Publications and e-prints

  1. 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 ]
  2. 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 ]
  3. Chase-escape with death on trees, with Erin Beckman, Keisha Cook, Nicole Eikmeier and Matthew Junge. Preprint.
    [ arXiv | pdf | abstract | BibTeX ]

Theses

Profile picture during the lockdown

  • Email: "saraiht" "at" math "." ubc "." ca
  • Pronouns: she / her / hers
  • CV: English - Español