Joe Thomas
I am currently a Postdoctoral Research Associate in the Department of Mathematics at Durham University working with Professor Michael Magee.
From October 2024, I will be a Leverhulme Early Career Fellow at Durham University.
I completed my PhD in mathematics at the University of Manchester, working in the Analysis, Geometry and Dynamics Group. I was jointly supervised by Dr. Tuomas Sahlsten (Manchester, now Aalto) and Dr. Etienne Le Masson (Cergy).Â
Research Interests
I am interested in the Laplacian operator on manifolds and graphs, motivated by delocalisation phenomena of eigenfunctions observed in quantum mechanics. My research draws on aspects from spectral theory, geometry and probability theory to understand the typical behaviour of eigenfunctions and eigenvalues in a variety of settings.
The diagram depicts the process of constructing a hyperbolic surface using hyperbolic pairs of pants.