Mathematics

Research topics

• Spaces with Ricci curvature bounded from below
• Spaces with sectional curvature bounded from below
• Gromov-Hausdorff convergence of manifolds
• Analysis in metric measure spaces
• Geometric measure theory in low regularity
• PDEs in metric measure spaces
• Gradient flows in non-smooth setting
• Optimal transport

Research Group

• Nicola Gigli, Professor
• Emanuele Caputo, PhD Student
• Francesco Nobili, PhD Student
• Ivan Yuri Violo, PhD Student

Main External Collaborators

• Luigi Ambrosio, SNS Pisa
• Shouhei Honda, Tohoku University
• Kazumasa Kuwada, Tokyo Institute of Technology
• Andrea Mondino, University of Warwick
• Shin-ichi Ohta, Kyoto University
• Giuseppe Savaré, Università di Pavia
• Karl Theodor Sturm, University of Bonn

Grants

• SIR: Nonsmooth Differential Geometry - RBSI147UG4