Research
My PhD research was on conformally invariant two-dimensional statistical physics models and their continuum scaling limits. My papers address problems related to percolation, conformal loop ensembles, and the Gaussian free field.
If you’re interested in learning about this field of research and you aren’t a mathematician, please read this non-technical overview of the key idea which drives much of the current research in conformally invariant probability. It discusses why this idea is so compelling and how it has been mathematically fruitful (accounting for two recent Fields medals).
Articles
- Rate of convergence for Cardy’s formula. Communications in Mathematical Physics 329.1: 29-56. Joint work with Asaf Nachmias and Dana Mendelson, 2012
- Extreme nesting in the conformal loop ensemble. The Annals of Probability 44.2 (2016): 1013-1052. Joint work with Jason Miller and David Wilson, 2013
- The conformal loop ensemble nesting field. Probability Theory and Related Fields 163.3-4 (2015): 769-801. Joint work with Jason Miller and David Wilson, 2013
- Fractional Gaussian fields: a survey. Probability Surveys 13 (2016): 1-56. Joint work with Asad Lodhia, Scott Sheffield and Xin Sun, 2014
- Simple CLE in doubly connected domains. Annales de l’Institut Henri Poincaré, Probabilités et Statistiques Vol. 53. No. 2. Institut Henri Poincaré, 2017. Joint work with Scott Sheffield and Hao Wu, 2014
- Schnyder woods, SLE(16), and Liouville quantum gravity. Joint work with Yiting Li and Xin Sun, 2017
Presentations
- MIT Probability Seminar, April 2018
- University of Chicago probability seminar, February 2018
- University of Connecticut analysis and probability seminar, May 2015
- Columbia probability seminar, November 2014
- Cornell probability seminar, September 2014
- MIT probability seminar, September 2014
- Les Diablerets, February 2014
- Les Diablerets, February 2013
- MIT probability seminar, March 2012