Jonathan Hermon

I am an assistant professor at the mathematics department at the University of British Columbia. From 2017 until 2020 I was a research associate in the Statistical Laboratory, part of the DPMMS at the University of Cambridge.

I received my PhD from UC Berkeley, where I was mentored by Allan Sly. Before coming to Cambridge I was a postdoc at the Faculty of Mathematics at the Weizmann institute of science.

I was an intern in the Microsoft Research Theory Group in the summers of 2014 and 2015.




Research interests


  • My research is in discrete probability theory with a special emphasis on problems related to the theory of mixing times of Markov chains and the cutoff phenomenon. I am also working on particle systems and percolation. Research Statement, C.V.
  • Papers


    Selected works

    Full list of publications [arXiv]

    Preprints

    • 25. Universality of cutoff for graphs with an added random matching.
      With Allan Sly and Perla Sousi. (2020). Preprint at arXiv.
    • 26. Sensitivity of mixing times of Cayley graphs.
      With Gady Kozma. (2020). Preprint at arXiv.
    • 27. Supercritical percolation on nonamenable graphs: Isoperimetry, analyticity, and exponential decay of the cluster size distribution.
      With Tom Hutchcroft. (2019). Preprint at arXiv.
    • 28. Entropy dissipation estimates for inhomogeneous zero-range processes.
      With Justin Salez. (2019). Preprint at arXiv.
    • 29. Modified log-Sobolev inequalities for strong-Rayleigh measures.
      With Justin Salez. (2019). Preprint at arXiv.
    • 30. Intersection times for critical branching random walks.
      Preprint at arXiv.
    • 31. Random Cayley Graphs I: Cutoff and Geometry for Heisenberg Groups.
      With Sam Thomas. (2019). Preprint at arXiv.
    • 32. Random Cayley Graphs II: Cutoff and Geometry for Abelian Groups.
      With Sam Thomas. (2019). Preprint at arXiv.

    Teaching


  • Term 2, 2020: Mixing times of Markov chains (Math 608E). Slides of the first lecture.
  • Talks


    Contact


    Department of Mathematics
    The University of British Columbia
    1984 Mathematics Road
    Vancouver, BC, Canada V6T 1Z2
    Office: Math Annex 1224
    Email: jonathan.hermon(at)gmail.com