Samuel G. G. Johnston

About me:

I am a Senior Lecturer in Probability Theory at King's College London.

My research is in probability and related areas, including statistical physics, random matrix theory, free probability, convex geometry, optimal transport, and branching and coalescing stochastic processes. 

What I'm currently working on:

Much of my recent work concerns the relationship between high-dimensional geometry, random matrix theory, optimal transport and statistical physics. A recurring theme in this work is the correspondence associating a vector in Euclidean space with its empirical coordinate measure. This correspondence provides a bridge between high-dimensional geometry and probability, allowing geometric and eigenvalue problems to be reformulated in terms of probability measures.