I am currently a Florence Nightingale Bicentenary Fellow in the Department of Statistics at the University of Oxford. My research lies at the interface of stochastic analysis, mathematical biology, and partial differential equations (PDEs). Much of my recent work has focused on interacting particle systems motivated by models from population genetics, investigating both their scaling limits and the biological interpretation of these limiting behaviours.

• Interacting particle systems and their scaling limits 

• Population genetics

• Mathematical biology

• Partial differential equations (PDEs)

• Statistical Genetics

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• I am currently a postdoc mentored by Prof Gesine Reinert, working on applications of Stein's method and topological data analysis to machine learning within the Erlangen AI Hub on the Mathematical Foundations of AI.

• Previously, I was a postdoc at Cardiff University in the Geometry, Algebra, Physics, and Topology group of the School of Mathematics, mentored by John Harvey between 2023 - 2025. 

• I obtained my DPhil in Mathematics at Oxford in 2022 (supervised by Vidit Nanda and Peter Grindrod CBE), as a part of the Industrially Focused Mathematical Modelling CDT. 

Further information about my research interests and publication list can be found on my personal webpage:

• Research statement
• Publications List
• Talks
• Teaching
   

Topological data analysis (TDA) is about understanding the shape of data. I focus on the following themes within TDA. 

• Morse theory (smooth, algebraic, and topological)
• Machine Learning on Graphs and spectral properties
• Data Analysis on non-Euclidean manifolds
• Estimating Properties of Shapes from Samples

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