Alessio Figalli

Alessio Figalli is a Full Professor and Director of the Forschungsinstitut für Mathematik (FIM) at ETH Zurich. His research focuses on optimal transport, partial differential equations, and geometric measure theory. He has held positions at leading institutions, including the University of Texas at Austin and École Polytechnique.

Educational Background

• PhD in Mathematics (2006–2007): Scuola Normale Superiore di Pisa and École Normale Supérieure de Lyon
• Master's (2004–2006): University of Pisa and Scuola Normale Superiore
• Bachelor's (2002–2004): University of Pisa and Scuola Normale Superiore

Research Interests

Figalli's work bridges pure and applied mathematics, with contributions to optimal transport, free boundary problems, and stability of geometric inequalities. His research has applications in economics, meteorology, and physics. Notable contributions include:

• Advances in regularity theory for free boundary problems
• Quantitative stability estimates for functional and geometric inequalities
• Applications of optimal transport to economics and machine learning

Scientific Recognition

Recipient of the Fields Medal (2018), EMS Prize (2012), and Stampacchia Gold Medal (2015). He is a member of prestigious academies, including the Accademia Nazionale dei Lincei and the Academia Europaea.

Teaching and Mentorship

Figalli has taught courses on analysis, PDEs, and optimal transport at ETH Zurich and the University of Texas. He mentors numerous PhD students and postdocs, contributing to the next generation of mathematicians.

Grants and Editorial Work

He leads the ERC-funded RSPDE project and serves on editorial boards for journals like Archive for Rational Mechanics and Analysis and Duke Mathematical Journal.