Sarai Hernandez-Torres

University of British Columbia

About

I am a PhD candidate working with the probability group in the Department of Mathematics at the University of British Columbia. My supervisors are Omer Angel and Martin Barlow. I am supported by the Mexican National Council for Science and Technology (Consejo Nacional de Ciencia y Tecnología, CONACYT ).

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.

Here is 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.

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 ]

Upcoming events

Other writing

Sarai in her natural habitat

  • University of British Columbia
    Department of Mathematics
    1984 Mathematics Road
    Vancouver, BC, V6T 1Z2, Canada
  • Email: "saraiht" "at" math "." ubc "." ca
  • Office: Math 126
  • CV: English - Español