Research

My research involves, broadly, the study of random systems at criticality. I am particularly interested in critical phenomena, scaling limits and more generally, random geometry. This is the study of the random curves and surfaces which arise as scaling limits of critical statistical physics models. These models are motivated by a range of physical applications, particularly stemming from materials science. I also like working with branching structures, especially when they appear in connection with the above models.

This simulation, made by Henry Jackson, is a binary branching Brownian motion in the disc with killing at the boundary. This is (a particular version of) the main object of interest in the first paper listed above. In the simulation different coloured paths represent different particles.