She is a professor at the EPFL (École Polytechnique Fédérale de Lausanne) in Switzerland, where she holds the chair for mathematical analysis, calculus of variations and partial differential equations.

[1][4] She competed for Italy in the 2005, 2006, and 2007 International Mathematical Olympiads, earning bronze, gold, and silver medals respectively.

[1][6] Her dissertation, Flows of non-smooth vector fields and degenerate elliptic equations: With applications to the Vlasov-Poisson and semigeostrophic systems, was published as a book in 2017 by Edizioni della Normale.

[10] She is the 2022 winner of the biennial Peter Lax Award, to be given at the International Conference on Hyperbolic Problems,[11] and the 2023 winner of the Collatz Prize of the International Council for Industrial and Applied Mathematics, "for her fundamental contributions to regularity theory and the analysis of singularities in elliptic partial differential equations, geometric variational problems, transport equations, and incompressible fluid dynamics".

[12] In 2024, she was awarded the EMS Prize for breakthrough results in fluid dynamics, optimal transport and kinetic theory, and for her impact on analysis more broadly.