Recherche

Analyse géométrique, Géométrie spectrale, Analyse non linéaire sur les variétés, Equations aux dérivées partielles, Méthodes variationnelles, Optimisation de valeurs propres, Applications harmoniques, Surfaces minimales.

(19) Regularity estimates on harmonic eigenmaps with arbitrary number of coordinates, 29 p. pdf

(18) Isoperimetric inequalities involving Steklov eigenvalues on surfaces, 28 p. pdf

(17) Extremising eigenvalues of the GJMS operators in a fixed conformal class, avec Emmanuel Humbert et Bruno Premoselli, 96 p. pdf

(16) Existence of metrics maximizing the first Laplace eigenvalue on closed surfaces, avec Mikhail Karpukhin et Daniel Stern, 23 p. pdf

(15) Geometric spectral optimization on surfaces, 46 p. pdf

(14) Non planar free boundary minimal disks into ellipsoids, 43 p. pdf

(13) Laplace eigenvalues and non-planar minimal spheres into 3-dimensional ellipsoids, accepté au Journal of Geometric Analysis, 43 p. pdf

(12) A variational method for functionals depending on eigenvalues, Journal of the London Mathematical Society, Vol. 112, Issue 4, (2025) pdf

(11) Critical metrics of eigenvalue functionals via Clarke subdifferentials, avec David Tewodrose, accepté aux annales de l'institut Fourier, 62 p. pdf

(10) Shape optimization for combinations of Steklov eigenvalues on Riemannian surfaces, Mathematische Zeitschrift, Volume 307, no 13, (2024) 46 p.

(9) Asymptotics for minimizers of the Ginzburg-Landau energy with optimal regularity of the boundary data and applications, avec Paul Laurain, annales de la faculté des sciences de Toulouse, Tome 33, no 5 (2024), p. 1251–1295. pdf

(8) Extremal metrics for combinations of Laplace eigenvalues and minimal surfaces into ellipsoids, Journal of Functional Analysis, 285 (2023), 75 p.

(7) Existence of min-Max free Boundary disks realising the width of a manifold, avec Paul Laurain, Adv. Math. 352 (2019), 326–371. pdf

(6) Maximizing Steklov eigenvalues on surfaces, J. Differential Geom. 113 (2019), no. 1, 95–188.

(5) On the existence of metrics which maximize Laplace eigenvalues on surfaces, Int. Math. Res. Not. (2018), no. 14, 4261–4355.

(4) Regularity and quantification for harmonic maps with free boundary, avec Paul Laurain, Adv. Calc. Var. 10 (2017), no. 1, 69–82. pdf

(3) On a rigidity result for the first conformal eigenvalue of the Laplacian, J. Spectr. Theory 5 (2015), no. 1, 227–234. pdf

(2) Existence and regularity of maximal metrics for the first Laplace eigenvalue on surfaces, Geom. Funct. Anal. 24 (2014), no. 4, 1336–1376. pdf

(1) Maximization of the second conformal eigenvalue of spheres, Proc. Amer. Math. Soc. 142 (2014), no. 7, 2385–2394. pdf

Existence of non planar free boundary minimal disks into ellipsoids, Oberwolfach report no 36/2023, 2080--2083

J'ai soutenu ma thèse le 17/11/2015 sous la direction d'Olivier Druet intitulée : bornes sur des valeurs propres et métriques extrémales.