Alessandro Pigati

Since September 2020, I am a Courant Instructor at CIMS (New York University).
Previously, I was a doctoral student at ETH Zürich, under the supervision of Tristan Rivière. 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. Any comments are welcome!

The viscosity method for min-max free boundary minimal surfaces

Minimal submanifolds from the abelian Higgs model with Daniel Stern
(Invent. Math. 223, pp. 1027-1095, 2021; journal version)

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)

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)