Valentino Tosatti

Valentino Tosatti is a Professor of Mathematics at the Courant Institute of Mathematical Sciences, New York University. His research focuses on complex and differential geometry, geometric analysis, and partial differential equations (PDEs), with connections to algebraic geometry and dynamical systems. He explores topics such as Kähler geometry, Calabi-Yau manifolds, symplectic geometry, geometric flows, and the Monge-Ampère equations. His work often addresses the interplay between geometric structures and their analytic properties.

Education: He earned his PhD in Mathematics from Harvard University in 2009 under the supervision of Shing-Tung Yau. Prior to that, he completed a Laurea (BSc) at the University of Pisa and a Minor Thesis at Harvard.

Research Interests: Tosatti's work emphasizes the study of geometric flows (e.g., Kähler-Ricci flow), collapsing behavior of Calabi-Yau metrics, and canonical currents on K3 surfaces. His contributions include foundational results on the regularity of solutions to Monge-Ampère equations and the asymptotic analysis of geometric structures under degenerations.

Publications and Trends: His recent articles address themes like volume regularity, collapsing metrics, and geometric flows, reflecting a deep engagement with the analytic and geometric challenges in complex geometry. He has also organized conferences and workshops on topics such as geometric analysis and complex geometry.

Professional Activities: Tosatti serves on editorial boards for journals including the Canadian Journal of Mathematics and Mathematische Zeitschrift. He has contributed to organizing events like the 2026 Oberwolfach workshop on Complex Geometry and Dynamical Systems and has been involved in academic seminars at institutions like Columbia University and Northwestern University.