Courses a.y. 2023/2024
40143 INTRODUCTION TO REAL ANALYSIS II
Professor of Mathematical Analysis, Department of Decision Sciences, Bocconi University
2019-2023 Hans Fisher senior fellow, Institute for Advanced Study (IAS), Technische Universität München.
2000-2020: Professor of Mathematical Analysis, Department of Mathematics, University of Pavia
1990-1998: Researcher of the CNR Institute for Applied Mathematics and Information Technologies "Enrico Magenes", Pavia, Italy
Optimal transport, gradient flows and rate independent evolutions, variational methods for evolution problems, analysis in metric spaces, Partial Differential Equations.
Spatially inhomogeneous evolutionary games
Comm. Pure Appl. Math. 74 (2021), no. 7, 1353–1402., 2021
Nonlinear diffusion equations and curvature conditions in metric measure spaces
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019
Optimal Entropy-Transport problems and a new Hellinger–Kantorovich distance between positive measures
INVENTIONES MATHEMATICAE, 2018
Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds
Ann. Probab. 43 (2015), no. 1, 339–404, 2015
Metric measure spaces with Riemannian Ricci curvature bounded from below
Duke Math. J. 163 (2014), no. 7, 1405–1490, 2014
Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below.
Invent. Math. 195 (2014), no. 2, 289–391, 2014