My name is Mehdi Eddaoudi, and I recently completed a Ph.D. in Mathematics at Université Laval in August 2025, under the supervision of Professor Alexandre Girouard.

My research area is spectral geometry, a field that explores the relationship between geometric structures and the spectra of elliptic operators. I am particularly interested in sharp eigenvalue inequalities and their connections with the topology and geometry of manifolds.

Keywords: Spectral theory, analysis on manifolds, sharp eigenvalue inequalities, interactions between spectra of elliptic operators and geometry/topology.