Degree(s)

PhD (St John's College, University of Cambridge), MMath (St John's College, University of Cambridge), MA (St John's College, University of Cambridge)

Research interests

My research is in number theory, an area of pure mathematics in which the fundamental goal is to understand integer (whole-number) solutions to equations.In particular, my research is centred on the Langlands program. It predicts a deep correspondence between two very different kinds of mathematical objects: automorphic forms (analytic) and Galois representations (number-theoretic and algebro-geometric). I am interested in establishing instances of the Langlands correspondence and understanding various related phenomena.

Teaching Interests

I have previously taught as a supervisor in Cambridge, teaching various undergraduate pure mathematics courses. Additionally, I've helped secondary school students prepare for STEP (the Cambridge undergraduate mathematics entrance exam) and gave short lectures and classes to help students from outside universities with preparing for the Cambridge master’s course in mathematics. I have also helped mentor undergraduate students with a reading project. I am interested in teaching others interested in learning pure mathematics, particularly in areas of number theory, algebra and geometry.

Awards and prizes

Smith--Knight/Rayleigh--Knight Essay Prize, 2022

Larmor Award, 2020

Horne Scholarship, Adams Memorial (Wright) Prize, Johnstone Prize, 2020

Horne Scholarship, Adams Memorial (Wright) Prize, Ian Hall Year Prize, 2019

Horne Scholarship, Lapwood‐Towle (Wright) Prize, Quass (shared) Year Prize, 2018

Horne Scholarship, Leathen (Wright) Prize, Johnstone (shared) Year Prize, 2017

Pythagoras Prize, 2016

Publications

Automorphy of some Ĝ-local systems with Ĝ-adequate image, 2023 (Available on my personal website)

The Taylor-Wiles method for reductive groups, 2022, submitted for publication

Other interests

Bouldering