Research
Research
This page lists the research papers I have authored, as well as slides from my presentations. My research interests include Riemannian geometry and symmetries.
Geodesics of Left-Invariant Geometries on SL(2,R) (2022).
Supervisor: Timothy Buttsworth.
Honours thesis as part of the Bachelor of Advanced Science (Honours) program at the University of Queensland.
Killing Fields on Symmetric Spaces (2025).
Given as part of the UQ Analysis Seminar series.
Shortest Paths on Spaces with Symmetry (2024).
Given as part of the UQ Maths Graduate Seminar.
Principal G-bundles and Ehresmann Connections; Curvature and the Yang-Mills Equation (2024).
Given as part of the Australian Geometric PDE Seminar.
The Hadamard Theorem (2024).
Given as part of a Riemannian Geometry reading seminar at UQ.
Ideal Fluid Flows Admitting Symmetries (2024).
Given for Progress Review 1 (confirmation).
Yes, It Can (Theoretically) Run Doom — Magic: The Gathering is Turing Complete (2023).
Given as a "Maths Talk" for the UQ Mathematics Students Society.
Closed Geodesics on SL(2,R) and its Universal Cover (2022).
Given as a component of my honours project.
An Unexpected Equivalence from a Silly Cross Product Puzzle (2022).
Given as a "Maths Talk" for the UQ Mathematics Students Society.
Differential Forms and the de Rham Cohomology (2022).
Given as part of undergraduate coursework.
Isometric Group Actions and the Slice Theorem (2022).
Given as part of undergraduate coursework.