Resources
Mathematical work and dissertations from my pre-PhD days.
MMath Dissertation: An Introduction to Modular Forms and the Eichler–Shimura Isomorphism
There are two main aims for this project: the first is to give a complete and detailed account of the basic theory of classical modular forms for the group SL₂(ℤ), the second is to state and prove the result known as the Eichler–Shimura isomorphism.
Download MMath Dissertation (PDF)
MSc Dissertation: Self-Supervised Learning of Tractable Generative Models
Applied conditional composite log-likelihood estimation (CCLE) with novel patching schemes to train EiNet models. Demonstrated that training using CCLE with specific patching schemes shows promise for improved image inpainting performance.
Download MSc Dissertation (PDF)
Summer Research: Polylogarithmic Integral Identities
Collaborated with Prof. Herbert Gangl (Durham) to conjecture and prove new identities relating polylogarithmic integrals over the unit square to linear combinations of multiple zeta values.