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Sam Farrington


MMath (Dunelm)

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3CAM in the Department of Mathematical SciencesMCS2040 


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.

Research interests

  • Partial Differential Equations (Heat Equation)
  • Spectral Geometry