Staff profile

I am a second year PhD student in the Analysis & PDE group working on problems at the interface of analysis and geometry. My research primarily concerns the heat equation and spectral geometry.

I completed my undergraduate studies at Durham in 2021. My final year project was on "Shape Optimisation and Spectrum of Laplacian", with a focus on the asymptotic behaviour of optimal domains for Dirichlet eigenvalues under perimeter constraint.

• Partial Differential Equations (Heat Equation)
• Spectral Geometry

Journal Article

• Farrington, S., & Gittins, K. (2023). Heat Flow in Polygons with Reflecting Edges. Integral Equations and Operator Theory, 95(4), Article 27. https://doi.org/10.1007/s00020-023-02749-0