Starting 2023 I work as a maître de conférences (equivalent to assistant professor) at the Laboratoire Jean Kuntzmann in the PDE team of the AMAC department. I previously worked as a postdoc at the Max Planck Institute for Mathematics in the Sciences in Felix Otto’s research group, and as a PhD student at the LAMA with Dorin Bucur and Alessandro Giacomini.
I am interested in free boundary problems, shape optimization and spectral geometry. Do not hesitate to contact me if you want more information on my works or if you wish to collaborate on a project.
Works
- Spherical caps do not always maximize Neumann eigenvalues on the sphere, with Dorin Bucur, Richard S. Laugesen, and Eloi Martinet.
- Computation of harmonic functions on higher genus surfaces, with Édouard Oudet.
- Minimality of vortex solutions to Ginzburg–Landau type systems for gradient fields in the unit ball in dimension N≥4, with Radu Ignat and Luc Nguyen, in Archive for Rational Mechanics and Analysis, Volume 249, Number 14, 2025.
- Sharp quantitative stability of the Dirichlet spectrum near the ball, with Dorin Bucur, Jimmy Lamboley, Raphaël Prunier
- A free discontinuity approach to optimal profiles in Stokes flows, with Dorin Bucur, Antonin Chambolle and Alessandro Giacomini, Annales de l’Institut Henri Poincaré C, 2024.
- Sharp inequalities for Neumann eigenvalues on the sphere, with Dorin Bucur and Eloi Martinet, Journal of Differential Geometry (accepted).
- Boundary behavior of Robin problems in non-smooth domains, with Dorin Bucur and Alessandro Giacomini.
- Shape optimization of a thermal insulation problem, with Dorin Bucur, Carlo Nitsch, Cristina Trombetti, Calc. Var. Partial Differential Equations, 61 (2022), no. 5, Paper No. 186.
- Stability of isoperimetric inequalites for Laplace eigenvalues on surfaces, with Mikhail Karpukhin, Iosif Polterovich, Daniel Stern, Journal of Differential Geometry, 129(2), 415-490.
- Existence and regularity of optimal shapes for spectral functionals with Robin boundary conditions, Journal of Differential Equations, 2022, vol. 335, p. 69-102.
- Degenerate free discontinuity problems and spectral inequalities in quantitative form, with D. Bucur et A. Giacomini, Arch. Ration. Mech. Anal. Volume 242, Number 1, 2021, Pages 453–483.
- Stability and instability issues of the Weinstock inequality, with D. Bucur, Transactions of the American Math. Soc. Volume 374, Number 3, March 2021, Pages 2201-2223.
- A new continuum theory for incompressible swelling materials, with Pierre Degond, Marina A. Ferreira, Sara Merino-Aceituno, Multiscale Model. Simul. 18 (2020), no. 1, 163–197.