Valentino Tosatti
Valentino Tosatti (born ca. 1981 in Trieste) is an Italian mathematician.

Tosatti studied from 2000 at the Scuola Normale Superiore di Pisa and at the University of Pisa, graduating with a laurea in 2004. He then studied at Harvard University, where he graduated with an M.A. in 2005 and a Ph.D. in 2009. (CV has comprehensive publication list.) His Ph.D. thesis Geometry of complex Monge-Ampère equations was supervised by Shing-Tung Yau. Tosatti was from 2009 to 2012 a Joseph Fels Ritt Assistant Professor at Columbia University. At Northwestern University, he was an associate professor from 2012 to 2015 and a full professor from 2015 to 2020. From 2020 to 2022 he taught as a professor at McGill University. In 2022 he became a professor at NYU's Courant Institute of Mathematical Sciences.

Tosatti does research on complex and differential geometry; geometric analysis on complex, Hermitian, and  symplectic manifolds; and partial differential equations. He is also interested in the connections of his main research topics with algebraic geometry and dynamical systems.

In 2017, with Gábor Székelyhidi and Ben Weinkove, Valentino Tosatti proved a conjecture published in 1984 by Paul Gauduchon. Acta Mathematica published their proof that on n-dimensional compact complex manifolds there is always a Gauduchon metric with prescribed volume form. For this purpose, the behavior of a large class of elliptic nonlinear partial differential equations of second order on Hermitian manifolds had to be investigated.

In 2011 Tosatti received a Blavatnik Award. In 2012 he was awarded a two-year Sloan Research Fellowship. In 2018 he received the Caccioppoli Prize. In 2019 he was elected a Fellow of the American Mathematical Society for "contributions in geometric analysis and complex geometry."

Selected publications
 
 
 
 
 
 
 
 
 
 

References

Category:Living people
Category:21st-century Italian mathematicians
Category:Differential geometers
Category:PDE theorists
Category:Scuola Normale Superiore di Pisa alumni
Category:University of Pisa alumni
Category:Northwestern University faculty
Category:New York University faculty
Category:Fellows of the American Mathematical Society
Category:Sloan Research Fellows
Category:Academic staff of McGill University
Category:Columbia University faculty
Category:Harvard University alumni