Research Group:

## Geometric Analysis

## 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