معرفی
Jean Lagace is a Lecturer in Pure Mathematics at King's College London specializing in Mathematical Analysis. He joined King's as a lecturer in January 2022 after completing postdoctoral research at University College London and the University of Bristol. His academic journey began at Université de Montréal where he earned both his BSc and PhD under the mentorship of Prof. Iosif Polterovich.
His educational background includes:
- Doctor of Philosophy in Pure Mathematics from University of Montreal (2014-2018), with dissertation titled "Asymptotiques spectrales et géométrie des nombres"
- BSc from Université de Montréal
Jean Lagace's research focuses on several interconnected areas within spectral geometry and mathematical analysis. His work explores the relationship between geometric properties of domains and the spectrum of differential operators, particularly examining eigenvalue asymptotics and shape optimization problems. His research combines techniques from analysis, geometry, and number theory to address fundamental questions about how the shape of a domain influences its spectral properties. Through his investigations of Steklov problems, homogenization theory, and spectral invariants, Lagace contributes to our understanding of how geometric constraints affect physical phenomena modeled by partial differential equations.
Jean Lagace has published multiple significant papers in top mathematical journals, with research spanning spectral decomposition, homogenization theory, and eigenvalue problems. His work demonstrates strong connections between spectral theory, differential geometry, and mathematical physics, with particular emphasis on Steklov problems, Dirac operators, and boundary homogenization techniques. His research output shows a consistent focus on understanding asymptotic behavior of eigenvalues and developing theoretical frameworks for spectral analysis on various geometric settings. The fingerprint analysis of his work reveals strong connections to eigenvalue mathematics (100%), Steklov problems (59%), and manifold theory (21%).
Jean Lagace has established himself as a promising researcher in spectral geometry with multiple publications in high-impact journals including Journal of Spectral Theory, Annales Henri Lebesgue, and Archive for Rational Mechanics and Analysis. His work on Steklov problems, eigenvalue asymptotics, and homogenization theory has garnered citations in the mathematical community, with his research being recognized for addressing open questions in two-dimensional conformal mappings and Lipschitz boundaries.
