Alessandro Pigati

Since September 2020, I am a Courant Instructor/Assistant Professor at CIMS (New York University).
Previously, I was a doctoral student at ETH Zürich, under the supervision of Tristan Rivière. I obtained my master's degree in Mathematics from the University of Pisa and Scuola Normale Superiore, in June 2016, under the supervision of Luigi Ambrosio and Davide Vittone. A recent CV is available here.
You can contact me by email.

Publications and preprints

Below you can find the most recent version of my papers, which might incorporate small subsequent corrections to the arXiv or the journal version.
Any comments are welcome!

Non-degenerate minimal submanifolds as energy concentration sets: a variational approach with Guido De Philippis

Quantization and non-quantization of energy for higher-dimensional Ginzburg-Landau vortices with Daniel Stern

Convergence of the self-dual U(1)-Yang-Mills-Higgs energies to the (n-2)-area functional with Davide Parise and Daniel Stern

The viscosity method for min-max free boundary minimal surfaces
(Arch. Ration. Mech. Anal., to appear)

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), 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), 437-489, 2020; journal version)

The regularity of parametrized integer stationary varifolds in two dimensions with Tristan Rivière
(Comm. Pure Appl. Math. 73 (9), 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), 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)

PhD thesis

Master thesis
(which I never seriously revised)