Department of Decision Sciences,
Bocconi University, Milano, Italy.
Geometric Analysis
PDEs
Geometric Measure Theory
Calculus of Variations
Optimal Transport
Non-convex optimization
E-mail: antonio.derosa@unibocconi.it
I am an Associate Professor in mathematical analysis at Bocconi University. My research lies at the interface of geometric analysis, partial differential equations, calculus of variations, geometric measure theory, and optimal transport.
Before joining the faculty at Bocconi, I served as Associate Professor in the Department of Mathematics at the University of Maryland, College Park (2023-2024), following a period as Assistant Professor there from 2020 to 2023. From 2017 to 2020, I was an Assistant Professor and Courant Instructor at the Courant Institute of Mathematical Sciences, New York University.
I completed my Ph.D. in Mathematics at the University of Zurich in 2017, under the supervision of Camillo De Lellis and Guido De Philippis.
My research has been supported by the ERC Starting Grant ANGEVA 101076411, the AFOSR grant FA9550-23-1-0123, the NSF DMS CAREER Award 2143124, and the NSF DMS Awards 1906451 - 2112311.
My detailed CV can be found here.
Below is a short list of selected publications (8 highlights):
Existence and regularity of min-max anisotropic minimal hypersurfaces. G. De Philippis, A. De Rosa, and Y. Li. Submitted. 2024. ArXiv:2409.15232
Construction of fillings with prescribed Gaussian image and applications. A. De Rosa, Y. Lei, and R. Young. Arch. Ration. Mech. Anal. 249(39), 2025.
The anisotropic Min-Max theory: Existence of anisotropic minimal and CMC surfaces. G. De Philippis, and A. De Rosa. Commun. Pure Appl. Math. 77(7):3184–3226, 2024.
Regularity for graphs with bounded anisotropic mean curvature. A. De Rosa, and R. Tione. Invent. Math. 230:463-507, 2022.
On the well-posedness of branched transportation. M. Colombo, A. De Rosa, and A. Marchese. Commun. Pure Appl. Math. 74(4):833-864, 2021.
Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets. A. De Rosa, S. Kolasiński, and M. Santilli. Arch. Ration. Mech. Anal. 238(3):1157–1198, 2020.
Equivalence of the ellipticity conditions for geometric variational problems. A. De Rosa, and S. Kolasiński. Commun. Pure Appl. Math. 73(11):2473-2515, 2020.
Rectifiability of varifolds with locally bounded first variation with respect to anisotropic surface energies. G. De Philippis, A. De Rosa, and F. Ghiraldin. Commun. Pure Appl. Math. 71(6):1123-1148, 2018.
A complete list of scientific publications can be found here.