Project archive
Academic work completed through school and university sits alongside independent software projects. Each entry focuses on the problem, implementation, and technical ideas involved.
Coursework and structured studies in computation, physics, and formal reasoning.
An individual Computational Mathematics report simulating fluid invasion on lattices with a priority queue, measuring fractal dimension and self-organised criticality.
Durham University · 2025-2026
A summer research project using Lean to derive mathematical structures from basic axioms and formally verify proofs.
University of Liverpool · June-September 2023
A report introducing automata theory and showing how finite-state models support technologies such as spell checking and secure bank transfers.
Durham University · January-February 2025
An individual sixth-form research paper deriving a projective-geometry method for detecting degenerate conics and locating their singular points.
University of Liverpool Maths School · September-November 2023
A non-required group sixth-form project investigating energy exchange between pendulum-like and spring-mass motion in a spring pendulum.
University of Liverpool Maths School · January-March 2023
Self-directed software experiments built to understand systems from first principles.
An early Java terminal game that generates perfect mazes by randomized recursive backtracking, expanded into a browser laboratory for comparing spanning-tree algorithms.
A Python predictive-text model using Markov chains to generate text from an author’s corpus.
A Python pool simulation implementing rigid-body motion, collision detection, and impulse-based collision response.