Jean Lagacé

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.