Research interests
Research interests
I am interested in the analysis of (variational) problems arising in geometry, mostly in conformal geometry. More specifically, I have worked on n-harmonic maps and their free boundary versions, on Willmore surfaces and their generalizations in higher dimensions.
With Katarzyna Mazowiecka and Armin Schikorra: On minimizing W^{s,1/s}-maps between circles, arXiv:2606.15713, 2026.
With Katarzyna Mazowiecka and Armin Schikorra: Minimizing and non-minimizing degree-one W^{s,1/s}-harmonic maps between spheres, arXiv:2606.15644, 2026.
With Katarzyna Mazowiecka and Rémy Rodiac: Min-max n-harmonic maps of degree 1 with free boundary into S^{n-1} in almost round balls, arXiv:2605.28668, 2026
With Yann Bernard, Tian Lan and Tristan Rivière: The Regularity of Critical Points to Scale-Invariant Curvature Energies in Dimension 4, arXiv:2511.01765, hal-05416182, 2025.
With Tristan Rivière: Weak immersions with second fundamental form in a critical Sobolev space, arXiv:2510.10594, hal-05416167, 2025.
With Nicolas Marque: Some global properties of umbilic points of Willmore immersions in the 3-sphere, arXiv:2506.10720, hal-05117589, 2025.
With Katarzyna Mazowiecka and Rémy Rodiac: A weak energy identity for (n+α)-harmonic maps with a free boundary in a sphere, arXiv:2503.21523, hal-05009466, 2025.
A duality theorem for a four dimensional Willmore energy, arXiv:2308.11433, hal-04838402, 2023.
With Katarzyna Mazowiecka and Armin Schikorra: Existence of nontrivial n-harmonic maps via min-max methods, arXiv:2601.05700, Calculus of Variations and Partial Differential Equations, 2026.
With Paul Laurain: Huber Theorem revisited in dimensions 2 and 4, arXiv:2502.05541, hal-05004709, The Journal of Geometric Analysis, 2025.
With Tristan Rivière: Construction of harmonic coordinates for weak immersions, arXiv:2510.10601, hal-05416150, International Mathematics Research Notices, 2025.
Classification of branched Willmore spheres in codimension 1, arXiv:2306.07965, hal-04838400, Proceedings of the American Mathematical Society, 2023.
Regularity of unconstrained p-harmonic maps from curved domain and application to critical p-Laplace systems, arXiv:2407.13236, hal-04838405, Potential Analysis, 2024.
Energy quantization for Willmore surfaces with bounded index, arXiv:2305.08668, hal-04838382, Journal of the European Mathematical Society, 2023.
With Armin Schikorra: A note on limiting Calderon-Zygmund theory for transformed n-Laplace systems in divergence form, arXiv:2404.01922, hal-04838367, 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, hal-04838377, Mathematische Annalen, 2023.
With Tian Lan and Tristan Rivière: The Analysis of Willmore Surfaces and its Generalizations in Higher Dimensions, arXiv:2511.01777, hal-05416174, Journal of Mathematical Study, 2025. Special issue in the honor of Gang Tian.