I am a Lecturer in Pure Mathematics in the Department of Mathematics
at King's College London, since 2022. Before that, I was briefly at
the University of Bristol, and at University College London
where I held postdoctoral positions. I received my PhD from the
Université de Montréal in 2018, under the supervision of Iosif
Polterovich.
My research lies in spectral geometry in the large. I am interested in
how the spectrum of the Laplacian, or of the Steklov problem for
instance, encode
geometric and regularity information of Riemmannian manifolds. My two
main interests are in spectral asymptotics, especially with low
regularity, and explicit geometric control, and on using
homogenisation of the metrics and of domains as a control mechanism
for the spectrum.
My work draws on tools from homogenisation theory, functional analysis, geometric analysis,
analytic number theory, harmonic analysis and microlocal analysis. My
interests in spectral geometry have led me to also occasionally work
in these fields for their own sake.
Spectral Geometry
Weyl asymptotics
Steklov problem
Homogenisation theorye
Geometric analysis
Shape optimisation
Quasi-periodic problems
Distribution of discrete sets