I am a DPhil student in Mathematics at the University of Oxford, supervised by Martin Bridson and Panos Papasoglu. My research interests include geometric group theory, the conjugacy problem, and conjugacy length functions.
I previously completed a Master’s degree in Mathematics, where my research focused on topological dynamics and closed-relation dynamical systems, including work on shadowing and transitivity. See my Master's thesis.
Alongside theoretical mathematics, I am interested in the emerging area of AI for mathematics, including automated reasoning, theorem proving, and symbolic reasoning systems. I am particularly interested in how computational methods and machine learning can assist mathematical discovery.
I also enjoy building computational tools alongside theoretical work and plan to integrate formalisation (Lean), computational experimentation, and mathematical research throughout my career.
Edge Inversions in (Pk)-closed Groups — preprint
with Kirwin Hampshire and Florian Lehner
Transitivity in CR-Dynamical Systems — preprint
with Sina Greenwood
Shadowing in CR-Dynamical Systems — preprint
Relative Stackings
Whitehead Journal Club
University of Oxford — November 2025
Based on Section 5 of the Wiegold paper by Chen and Lodha
How to Chase Your Shadow: Topological Dynamics
Mathematics Club Seminar
University of Auckland — August 2025
Slides
Profinite Rigidity
Geometric Group Theory Course Talk
University of Auckland — October 2024
Slides
Orbit Structure in CR-Dynamical Systems
38th Summer Conference on Topology
University of Coimbra, Portugal — July 2024
Slides
Orbit Structure in CR-Dynamical Systems
Maths Student Research Conference
University of Auckland — June 2024
Only non-PhD student speaker; competition prize winner
Slides
Shadowing in CR-Dynamical Systems
16th Devonport Topology Festival
University of Auckland — February 2024
Slides
Groups and Geometry in South England (GGSE)
University of Warwick — March 2026
Workshop website
Groups and Geometry in South England (GGSE)
University of Bristol — February 2026
Workshop website
New Zealand Mathematics Research Institute (NZMRI)
Napier — January 2026
Conference website
Groups and Geometry in South England (GGSE)
University College London — October 2025
Workshop website
Joint Meeting of the NZMS, AustMS and AMS
University of Auckland — December 2024
Conference website
New Zealand Mathematical Society Colloquium
Victoria University of Wellington — December 2023
Conference website
Teaching Assistant
B1.2 Set Theory
Mathematical Institute, University of Oxford — 2026–Present
Teaching Assistant
Analysis I & II
Queen’s College, University of Oxford — 2025–Present
Mathematics Tutor
Mathematics Assistance Room
University of Auckland — 2024
Private Mathematics Tutor
Graph Theory (MATHS715) and Group Theory (MATHS720)
University of Auckland — 2024
Mathematics Grader
Algebraic Structures (MATHS320)
University of Auckland — 2023
Mathematics Tutor
Mathematics A (MATH102), Mathematics B (MATH103), and Discrete Mathematics (MATH120)
College House, University of Canterbury — 2021–2022
Part C Presentation Feedback
Attended and provided feedback on a Part C (MMath) mathematics presentation prior to submission.
University of Oxford — 2026
Doctoral Thesis Proofreading
Provided detailed proofreading and feedback on a doctoral dissertation in mathematics prior to submission.
University of Auckland — 2024
Lecture notes I created from graduate courses taken during my undergraduate and graduate studies. These notes were prepared for personal study and may contain errors or omissions.
Geometric Group Theory — a graduate course at the University of Auckland.
Lie Groups and Lie Algebras — a graduate course at the University of Auckland.
Group Theory — a graduate course at the University of Auckland.
Measure Theory — a graduate course at the University of Auckland.
Graph Theory and Combinatorics — a graduate course at the University of Auckland.
Graph Theory — a graduate course at the University of Canterbury.
Topology — a graduate course at the University of Canterbury.
The Reconstruction Conjecture — report written for a graduate graph theory course at the University of Canterbury.
Exploratory mathematical notes and computational experiments.
The Set-Self-Tietze Property — preprint exploring a set-valued analogue of the self-Tietze property.
Closures and complements on a set — notes written during my undergraduate studies exploring Kuratowski's closure–complement problem.
The (a, b) Shadow Functions — exploratory notes written at age 18 motivated by the Collatz conjecture.
See the accompanying code.
Intern Coder and Auditor
Triple Ledger Limited – 2018–2025
Intern Programmer
Techemy (Digital Asset Exchange) – 2020–2022
These roles involved software development and distributed systems, complementing my interest in computational approaches to mathematics and AI-assisted reasoning.
Oxford webpage
Google Scholar
ORCID
arXiv
GitHub
MathsStackExchange