Situation
Since September 2024, I am a post-doc at ETH Zürich under the supervision of Tristan Rivière.
I completed my PhD at Université Paris Cité in 2024, under the supervision of Paul Laurain.
Research interests
I am interested in the analysis of some PDEs arising in geometry, mostly in conformal geometry. More specifically, I work on (n-)harmonic maps and Willmore surfaces.
Papers
Energy quantization for Willmore surfaces with bounded index, arXiv:2305.08668, Journal of the European Mathematical Society (Accepted), 2023
With Armin Schikorra: A note on limiting Calderon-Zygmund theory for transformed n-Laplace systems in divergence form, arXiv:2404.01922, Bulletin of the London Mathematical Society, 2024
With Armin Schikorra: Regularizing properties of n-Laplace systems with antisymmetric potentials in Lorentz spaces, arXiv:2305.05961, Mathematische Annalen, 2023
Preprints
Classification of branched Willmore spheres, arXiv:2306.07965, 2023
A duality theorem for a four dimensional Willmore energy, arXiv:2308.11433, 2023
Regularity of unconstrained p-harmonic maps from curved domain and application to critical n-Laplace systems, arXiv:2407.13236, 2024