In this episode, Camillo De Lellis, a researcher at the Institute for Advanced Study of Princeton, engages in an interview with Nicola Gigli from the Scuola Internazionale Superiore di Studi Avanzati in Trieste, Italy. They delve into Nicola Gigli's personal journey in and out of mathematics, discussing how he arrived at the topics of his research and his enthusiasm for them. Throughout the conversation, they also explore the intriguing connection between the concepts of optimal transport and curvature of a space, a discovery that has given rise to a flourishing research field at the intersection of multiple areas of mathematics, making it a fascinating and fast-growing frontier of exploration.

Nicola Gigli obtained his PhD from the Scuola Normale Superiore in Pisa, specializing in functional and geometric analysis. In recognition of his outstanding achievements in diverse areas of mathematics, he was honored with the Oberwolfach Prize in 2010. Additionally, in 2019, he received the Ennio De Giorgi prize for his remarkable and original contributions to his field of research.

Camillo De Lellis earned his PhD in mathematics from the Scuola Normale Superiore in Pisa, Italy. His research focuses on calculus of variations, geometric measure theory, and fluid dynamics. Throughout his career, he has received numerous accolades, with the most recent being the Maryam Mirzakhani Prize awarded in the same year, recognizing his exceptional contributions to the mathematical sciences.

Originally presented by the UNITEXT Springer Nature Webinars series, this interview has been specifically adapted for the podcast format.