Valentino Tosatti

About

Valentino Tosatti is a Professor of Mathematics and Vice Dean for Faculty Affairs at the Courant Institute of Mathematical Sciences, New York University. His research focuses on complex and differential geometry, geometric analysis and PDEs, with connections to algebraic geometry and dynamical systems. He studies Kähler geometry, Calabi-Yau manifolds, almost-complex and Hermitian geometry, geometric flows, and complex Monge-Ampère equations.

Selected publications

• Transcendental Morse inequality on Kähler manifolds
• Universal affine bundles for compact complex manifolds
• Nonlinearizable embeddings of elliptic curves in rational surfaces
• Gromov-Hausdorff limits of immortal Kähler-Ricci flows
• Immortal solutions of the Kähler-Ricci flow
• Ricci-flat metrics on Calabi-Yau manifolds
• Generic regularity of intermediate complex structure limits
• Semipositive line bundles and (1,1)-classes
• Regularity of the volume function
• The volume of a divisor and cusp excursions of geodesics in hyperbolic manifolds