Jack Westbrook

MSc Pure Mathematics programme and dissertation completed, Imperial College London; final results and award pending

Quantitative résumé — October 2026

Historical academic CV — November 2025

I have completed the MSc Pure Mathematics programme and dissertation at Imperial College London; final results and the award are pending. My dissertation is on ℓ-adic Galois representations and Serre’s Open Image Theorem. I hold a BA in Mathematics from the University of Wisconsin–Madison.

I am pursuing quantitative research, quantitative trading, and mathematically oriented software engineering roles, with a preference for opportunities in the United States. I’m interested in bringing rigorous mathematical reasoning and algorithmic problem-solving to quantitative work.

My programming projects include number-theoretic algorithms and educational cryptography in C++ and Rust, exploratory computation in Python, formalization in Lean, and Macaulay2 packages for computational algebra. See my projects, GitHub, and LinkedIn.

My research interests lie largely in number theory, especially arithmetic geometry and the Langlands program. I’m particularly drawn to p-adic and global Galois representations and to arithmetic local-to-global principles, where number theory, algebraic geometry, representation theory, and analysis intersect in beautiful ways.

Outside of mathematics, I enjoy writing fiction and philosophy, over-sharing elliptic curves, finite fields, p-adic numbers, and number theory with unsuspecting family and friends, playing 1|0 chess (or possibly 3|2), and pursuing independent cryptographic projects.