# 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, 2012Extreme nesting in the conformal loop ensemble.

*The Annals of Probability*44.2 (2016): 1013-1052. Joint work with Jason Miller and David Wilson, 2013The conformal loop ensemble nesting field.

*Probability Theory and Related Fields*163.3-4 (2015): 769-801. Joint work with Jason Miller and David Wilson, 2013Fractional Gaussian fields: a survey.

*Probability Surveys*13 (2016): 1-56. Joint work with Asad Lodhia, Scott Sheffield and Xin Sun, 2014Simple 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, 2014Schnyder 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