Research

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Key words

Geometric analysis, Nonlinear analysis on manifolds, Partial Derivative Equations, Variational methods, Optimization of eigenvalues, Minimal surfaces.

Publications

(9) A remark on the rigidity of the first conformal Steklov eigenvalue, with Henrik Matthisen. pdf

(8) Free boundary minimal surfaces of any topological type in Euclidean balls via shape optimization, with Henrik Matthiesen. pdf

(7) Existence of Min-Max Free Boundary Disks Realising the Width of a Manifold, with 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, with 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

Ph. D.

I defended my Ph. D. in November, 17 2015 under the direction of Olivier Druet untitled: Eigenvalue bounds and extremal metrics.

Referees: Ailana Fraser, Tristan Rivière.

Jury: Nalini Anantharaman, Olivier Druet, Bernard Helffer, Paul Laurain, Tristan Rivière, Richard Schoen, Jean-Yves Welschinger.