Valentino Tosatti

Valentino Tosatti (* around 1981 in Trieste ) is an Italian mathematician.

Tosatti studied from 2000 at the Scuola Normale Superiore and the University of Pisa with a Laureate degree in 2004. He received his doctorate in 2009 from Harvard University with Shing-Tung Yau (Geometry of complex Monge-Ampere equations). He then was Joseph Fels Ritt Assistant Professor at Columbia University until 2012 . In 2012 he became an Associate Professor and in 2015 Professor at Northwestern University .

He is concerned with geometrical analysis on complex, Hermitian and symplectic manifolds.

With Gábor Székelyhidi and Ben Weinkove he proved that there is always a Gauduchon metric with a prescribed volume form on n-dimensional compact complex manifolds . For this purpose, the behavior of a large class of elliptic nonlinear partial differential equations of the 2nd order on Hermitian manifolds had to be investigated. Their result solved a Gauduchon conjecture from 1984.

From 2012 he was a Sloan Research Fellow. In 2018 he received the Premio Caccioppoli . In 2019 he became a Fellow of the American Mathematical Society .

Web links

• Homepage

Individual evidence

1. ↑ Valentino Tosatti in the Mathematics Genealogy Project (English)
2. ↑ Tosatti, Szekelyhidi, Weinkove, Gauduchon metrics with prescribed volume form, Acta Mathematica, Volume 219, 2017, pp. 181-211, Arxiv