Since 2023, I am an Assistant Professor at the Department of Decision Sciences of Bocconi University. Previously, I was a Courant Instructor at CIMS (New York University).
I obtained my PhD in mathematics at ETH Zürich, under the supervision of Tristan Rivière, after receiving my master's degree from the University of Pisa and Scuola Normale Superiore, under the supervision of Luigi Ambrosio and Davide Vittone. A recent CV is available here.
You can contact me by email.
I am a proud donor to the Sci-Hub project.
Below you can find the most recent version of my papers, which might incorporate small subsequent corrections to the arXiv or the journal versions. Any comments are welcome!
A variational theory for the area of Legendrian surfaces with Tristan Rivière
(submitted)
Decay of excess for the abelian Higgs model with Aria Halavati and Guido De Philippis
(submitted)
Topological regularity and stability of noncollapsed spaces with Ricci curvature bounded below with Elia Bruè and Daniele Semola
(submitted)
The parabolic U(1)-Higgs equations and codimension-two mean curvature flows with Davide Parise and Daniel Stern
(Geom. Funct. Anal., to appear)
Non-degenerate minimal submanifolds as energy concentration sets: a variational approach with Guido De Philippis
(Comm. Pure Appl. Math. 77 (8), pp. 3581-3627, 2024; journal version)
Quantization and non-quantization of energy for higher-dimensional Ginzburg-Landau vortices with Daniel Stern
(Ars Inveniendi Analytica, 2023; journal version)
Convergence of the self-dual U(1)-Yang-Mills-Higgs energies to the (n-2)-area functional with Davide Parise and Daniel Stern
(Comm. Pure Appl. Math. 77 (1), pp. 670-730, 2024; journal version)
The viscosity method for min-max free boundary minimal surfaces
(Arch. Ration. Mech. Anal. 244, pp. 391-441, 2022; journal version)
Minimal submanifolds from the abelian Higgs model with Daniel Stern
(Invent. Math. 223, pp. 1027-1095, 2021; journal version; errata)
A proof of the multiplicity one conjecture for min-max minimal surfaces in arbitrary codimension with Tristan Rivière
(Duke Math. J. 169 (11), pp. 2005-2044, 2020; journal version)
Free boundary minimal surfaces: a nonlocal approach with Francesca Da Lio
(Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) XX (2), pp. 437-489, 2020; journal version)
The regularity of parametrized integer stationary varifolds in two dimensions with Tristan Rivière
(Comm. Pure Appl. Math. 73 (9), pp. 1981-2042, 2020; journal version; errata)
On tangent cones to length minimizers in Carnot-Carathéodory spaces with Roberto Monti and Davide Vittone
(SIAM J. Control Optim. 56 (5), pp. 3351-3369, 2018; journal version)
Existence of tangent lines to Carnot-Carathéodory geodesics with Roberto Monti and Davide Vittone
(Calc. Var. PDE 57, art. 75, 2018; journal version)
Master thesis
(which I never seriously revised)