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Profile
I studied in Cambridge as an undergraduate, and completed my PhD at Harvard in 2012, with a thesis focusing on questions in the Langlands programme and the new field of “arithmetic statistics”, inspired by the work of Manjul Bhargava. I returned to Cambridge in 2014, and joined Trinity as a Teaching Fellow in 2021.
Teaching
I have lectured and supervised a number of courses across the undergraduate Tripos — and I have often found that the new perspective this gives on well-trodden material is useful in my own research. Most recently, I have lectured Part II Number Theory, and given a one-off graduate level course on Quadratic Forms.
Research
My research is currently focused on questions in the Langlands programme, especially the modularity of Galois representations — a theme that has been of great importance for the field ever since the 1994 proof, by Andrew Wiles, of Fermat’s Last Theorem (via the modularity of elliptic curves). My most well-known work is on the topic of Langlands functoriality for the holomorphic modular forms much studied by Ramanujan during his time at Trinity.