Nicola Gigli

Nicola Gigli is a Full Professor at the International School for Advanced Studies (SISSA). His research focuses on geometric analysis, metric measure spaces, and calculus of variations, with particular emphasis on RCD spaces and optimal transport theory. He explores foundational aspects of differential calculus in non-smooth settings and their applications to geometric and functional inequalities. His work bridges geometric analysis, partial differential equations, and probability theory, contributing to the understanding of curvature-dimension conditions in metric measure spaces.

Key research interests include the study of Laplacian bounds, harmonic maps, heat flow stability, and geometric regularity theory. He has organized several international workshops and conferences on geometric analysis and optimal transport, fostering collaboration in these fields. His contributions have advanced the theoretical frameworks for analyzing geometric structures in non-smooth contexts, with applications to geometric measure theory and stochastic processes.