Ewain Gwynne

I am a postdoc in mathematics at University of Cambridge, supported by both a Clay research fellowship and a junior research fellowship at Trinity college.

I got my Ph.D from MIT in 2018, advised by Scott Sheffield. Previously, I was an undergraduate student at Northwestern University. During the summer of 2015, I was an intern in the Microsoft Research theory group in Redmond, WA.

I am interested in probability theory, particularly random curves and surfaces which arise in statistical mechanics. Topics I have worked on include Schramm-Loewner evolution, Liouville quantum gravity, random planar maps, first passage percolation, and Brownian surfaces.

Here is a non-technical summary of my research aimed at an audience with some scientific background, not necessarily in math.

Contact Information

Office: D2.04

Email: eg558 at cam.ac.uk

Here is a link to my CV: CV


Expository works

The Liouville quantum gravity metric

Liouville quantum gravity with matter central charge greater than 1

Distances in random planar maps and Liouville quantum gravity

Random walk/conformal embeddings of random planar maps

Percolation on random planar maps

Self-avoiding walk on random planar maps

Fractal properties of SLE/LQG

Peanosphere convergence/mating-of-trees bijections

First passage percolation

Undergraduate papers