The calculus of variations, geometric measure theory, and real analysis, studying in particular the regularity of minimizers and the existence of singular minimizers.
I joined Edinburgh in 2016 as a University Teacher in Mathematics.
PhD (Warwick, 2011), thesis: "Singular minimizers in the calculus of variations." MMathPhil (Magdalen College, Oxford, 2007).
University of Warwick (2013-2016): Research Fellow on the project "Local structure of sets, measures, and currents." St John's College, Oxford (2011-2013): Research Associate on the project "The deep mathematical theory of selfish genes."