I completed a 4 year BSc in Mathematics and Philosophy with Specialism in Foundations and Logic at the University of Warwick, and then the MASt in Mathematical Sciences programme, undertaking a project on Scaling Limits for Random Gaussian Fields supervised by Dr Stefan Adams.

Currently, I am a 1st Year PhD student under the supervision of Prof James Robison, working on L^p convergence of eigenfunction expansions for second-order linear differential operators in the plane.

In one dimension, there is only one way to truncate a partial sum: count up to a certain N. For eigenfunctions labelled by pairs of indices, as is the case of the Fourier series on Z², we may truncate in several ways. For example, do we count pairs of indices (n, m) with |n|,|m| ≤ N, or instead count them with |n|²+|m|² ≤ N? It is a curious fact that L^p convergence can be obtained in the former case (for all p) but "never" the latter: it fails for all p ≠ 2!