I am a DPhil (i.e. PhD) student in the number theory group at the University of Oxford under the supervision of Jan Vonk and James Newton. I am supported by an Aker scholarship. Before coming to Oxford, I did a BSc (Hons) at the University of Edinburgh with my third year spent at Caltech.
My research area is broadly speaking algebraic number theory or arithmetic geometry, and I am particularly interested in explicit class field theory, modular forms, and analogies between the archimedean and p-adic worlds.
- Modular algorithms for Gross-Stark units and
Stark-Heegner points:
arxiv:2301.08977
Algorithms for computing Gross-Stark units and Stark-Heegner points using overconvergent modular forms, with implementations in magma and sage. - WCLvsSCL
Some code for computing the probabilistic zeta function of a finite poset lattice. Includes code which disproves a conjecture in (a previous version of) arxiv:2112.13766.
- 2022-2023: Michael and I are running the Oxford Junior Number Theory seminar
- Hilary term 2022: Zach and I are running a study group on automorphic representations
- Hilary term 2022: Tutor in Prelims: Linear algebra II
- Michaelmas term 2022: Tutor in Prelims: Linear algebra and Geometry
- Summer 2022: Instructor for TOPS summer school in Oxford
- Trinity term 2022: Tutor in Part A: Number theory
- Michaelmas term 2021: Tutor and TA in Part B: Galois theory
- Trinity term 2021: Andrés and I ran a seminar on étale cohomology.
- Hilary term 2021: Teaching assistant in Part C: Elliptic curves
- Hilary term 2021: Teaching assistant in Part B: Commutative Algebra
- Michaelmas term 2020: Teaching assistant in Part B: Galois theory
There is a wide variety of errors hidden in these notes; reader beware!
- The Manin-Drinfeld theorem: an essay for a Hodge theory course taught by Nils Matthes and Tiago Jardim da Fonseca during Trinity term 2021.
- Ideal lattices in cryptography: a final report from a summer research project on post-quantum cryptography.
- Kac-Moody algebras: notes from a topics course on the representation theory of Kac-Moody algebras at the University of Edinburgh, spring 2020.
- Galois theory of Schemes: my senior thesis at the University of Edinburgh, supervised by Dr. Clark Barwick.
- Theta functions: an essay I wrote for a reading course on modular forms, supervised by Prof. Chris Smyth.
- Singular Minimisers in the Calculus of Variations: the result of a summer project I did with Dr. Richard Gratwick in 2018.
- PCMI summer school: Number theory informed by computation
Park City, Utah, US, 17/07-06/08/22 - Bryan Birch birthday conference
University of Bristol, 22/04/22 (attended virtually) - Arizona Winter School 2022: Automorphic forms beyond GL2
Tucson, Arizona, 5-9/03/22 - Arithmetic and Geometry of Varieties with Trivial Canonical Bundle
Oslo, Norway, 14-16/12/21 - Young
Researchers in Algebraic Number Theory (Y-RANT) III
University of Bristol, 18-20/08/2021 (online) - PCMI summer school: Number
theory informed by computation
Park City Mathematical Institute, 26-30/07/2021 (online) - Theta
Series: Representation Theory, Geometry, and Arithmetic
Fields Institute, 05-09/07/21 (online) - New
connections in number theory and physics
Isaac Newton Institute, 24-28/05/21 (online) - Unlikely Intersections, Diophantine geometry, and related fields
University of Reading 12-16/04/21 (online)