Jonathan Hermon

I moved to the department of mathematics at the University of British Columbia. This webpage will no longer be updated. 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, under the mentorship of Yuval Peres.




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 - minor revisions

    • 22. The interchange process on high-dimensional products.
      With Justin Salez. Annals of Applied Probab. (2019). Preprint at arXiv.
    • 23. A comparison principle for random walk on dynamical percolation.
      With Perla Sousi. Annals of Probab. (2019). Preprint at arXiv.
    • 24. The exclusion process mixes (almost) faster than independent particles.
      With Richard Pymar. Annals of Probab. (2019) Preprint at arXiv.

    Preprints

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

    Teaching


  • Lent 2019: Mixing times of Markov chains (Part III)
  • I have served as a GSI (Graduate Student Instructor) for the following courses at Berkeley.
  • Fall 2016: Stat 150, Stochastic Processes.
  • Spring 2015: Stat 150, Stochastic Processes.
  • Spring 2014: Stat 150, Stochastic Processes.
  • Spring 2013: Stat 134, Introduction to Probability.
  • Spring 2012: Stat 134, Introduction to Probability.
  • Contact


    Centre for Mathematical Sciences
    Wilberforce Road
    Cambridge
    CB3 0WB
    Office: D2.01
    Email: jh2129(at)statslab.cam.ac.uk