Dr. Figalli, recognized with the Fields Medal in 2018, finds joy in mathematics that addresses tangible issues in nature and appreciates the enduring nature of mathematical truths. In a recent interview, he highlighted that mathematics transcends time, offering definitive answers verified through the ages. The origin of optimal transport dates back nearly 250 years to Gaspard Monge, who applied it to military engineering and logistical challenges of his time. The approach was further refined by Leonid Kantorovich, a Nobel laureate, who exemplified its applications using everyday scenarios like bakeries ensuring they delivered enough croissants to coffee shops. This notion of global wellness optimization underscores the communal aspect of mathematics, where the actions of one can significantly influence many.

The following dialogue with Dr. Figalli, held during a New York City event orchestrated by the Simons Laufer Mathematical Sciences Institute, highlights his insights and reflections on the world of mathematics, shedding light on its complexities and shared utility in society.