Resume

Thesis: Deciding Discreteness in SL(2) over Local Fields

• Designed and implemented algorithms to decide discreteness of matrix groups, proving correctness and optimising run-time against non-trivial performance constraints.
• Built the supporting tooling in Python, Julia, TypeScript and Magma, including an open-source Magma package (SL2RDiscrete).
• Research ranged from geometric group theory to cryptography.
• Second place, Best Pure Mathematics Talk — NZMASP 2022.

Project: applications of machine learning to problems in combinatorics and graph theory.

• Built and trained models in PyTorch end to end—data generation, training loop, evaluation—on graph-theoretic search problems.
• Surveyed current literature on ML-guided conjecture search and neural approaches to combinatorial optimisation.
• Presented findings to the mathematics faculty.

Ran small-group tutorials across undergraduate mathematics courses.

• Taught over 300 students, explaining technical material to mixed-ability audiences.
• Marked assignments to a consistent standard and gave written feedback under deadline.

Built a front-end web application for exploring DNA sequences and associated genetic data.

• Rendered and navigated datasets of up to billions of data points, designing for responsive interaction at scale.
• Worked in TypeScript and Scala against REST APIs, in an Agile team of 2–3 delivering to client specifications.

Ran an independent tutoring practice for 20+ secondary and university students, handling lesson planning, scheduling and client relationships alongside the teaching itself.

• Bruhat–Tits tree visualiser and hyperbolic 3-space visualiser: TypeScript tools for exploring isometry group actions, built on custom-written mathematical libraries.
• Real-time 2D and 3D rendering, optimised so animation and interaction stay smooth on live-computed data. Used by other researchers in the field.

• Quick Sets: a browser implementation of the card game SET, written in Svelte.
• Interactive maths explainers on my blog.
• Generative and interactive art pieces, collected on my home page.