Staff profile
Overview
https://apps.dur.ac.uk/biography/image/2410
| Affiliation | Telephone |
|---|---|
| 3CAM in the Department of Mathematical Sciences |
Biography
About me
I am a fourth year PhD student in the Analysis & PDE group working on problems at the interface of analysis and geometry. My current research primarily concerns spectral shape optimisation and heat semigroups.
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)
Research interests
- Partial Differential Equations
- Spectral Geometry
- Heat Semigroups
Publications
Journal Article
- Farrington, S. (2025). On the Isoperimetric and Isodiametric Inequalities and the Minimisation of Eigenvalues of the Laplacian. Journal of Geometric Analysis, 35, Article 62. https://doi.org/10.1007/s12220-024-01887-0
- 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