**Mathematician Alessio Figalli Explores the World of Optimal Transport**

Fri May 09 2025 08:24:57 GMT+0300 (Eastern European Summer Time)
**Mathematician Alessio Figalli Explores the World of Optimal Transport**

**Discovering the complex beauty of assigning resources efficiently across various domains.**


**Alessio Figalli, renowned for his work in optimal transport, sheds light on the mathematical principles that apply to natural phenomena and practical problems.**

In a recent interview, Alessio Figalli, a prominent mathematician at ETH Zurich and the Institute for Advanced Study in Princeton, discussed his research into "optimal transport," a field that investigates the most efficient allocation of resources from starting points to end points. This study spans diverse topics including weather systems, material structures, and even the functioning of chatbots.

Figalli, honored with the esteemed Fields Medal in 2018, expressed his fondness for mathematics rooted in practical applications found in nature. He appreciates the "sense of eternity" in mathematics, emphasizing its timelessness. "If you prove a theorem, you prove it," Figalli stated, signifying the definitive nature of mathematical truths. "In a hundred years, you can rely on it, no matter what."

The concept of optimal transport traces its origins back 250 years to Gaspard Monge, a French mathematician whose work initially focused on military logistics. Monge's theories contributed to the efficient design of fortifications during the Napoleonic Era, enabling better material transport across Europe.

In 1975, Leonid Kantorovich was awarded the Nobel Prize in Economic Science for formulating a rigorous mathematical theory regarding the optimal allocation of resources. Figalli highlighted an illustrative case from Kantorovich's work involving bakeries and coffee shops, where the aim was to ensure daily deliveries of croissants. This scenario exemplifies a "global wellness optimization problem," in which the objective is to enhance the collective utility of the community rather than individual competition.

The engaging conversation with Figalli, organized by the Simons Laufer Mathematical Sciences Institute, was a deep dive into the critical questions surrounding optimal transport. His thoughts not only reflect significant mathematical principles but also their applications in varied real-world contexts.

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