Staff profile

About me

I am a recent PhD graduate of the Analysis & PDE group, where I worked on problems at the interface of analysis and geometry. I am still active in the mathematics community and my current research primarily concerns spectral shape optimisation and the heat equation.

I passed my PhD Viva on the 28th April 2025 with minor corrections for the thesis entitled "Asymptotic results concerning heat content and spectra of the Laplacian". 

Prior my PhD, 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.

Supervisors

Dr Katie Gittins (Primary) & Dr Djoko Wirosoetisno (Secondary)

• Partial Differential Equations
• Spectral Geometry
• Heat Semigroups

Journal Article

• On the Isoperimetric and Isodiametric Inequalities and the Minimisation of Eigenvalues of the Laplacian
  
  Farrington, S. (2025). On the Isoperimetric and Isodiametric Inequalities and the Minimisation of Eigenvalues of the Laplacian. The Journal of Geometric Analysis, 35(2), Article 62. https://doi.org/10.1007/s12220-024-01887-0
• Heat Flow in Polygons with Reflecting Edges
  
  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