Valentino Tosatti
2011 Regional Award Winner — Post-Doc
Current Position:
Professor of Mathematics
Institution:
Northwestern University (Previously at Columbia University)
Discipline:
Applied Mathematics
Recognized for: Conducting a complete analysis of adiabatic limits of Ricci-flat metrics
Areas of Research Interest and Expertise: Differential Geometry, partial differential equations, algebraic geometry, Calabi-Yau manifolds
Biography:
- PhD, Mathematics, HarvardUniversity
- MA, Mathematics, HarvardUniversity
Valentino Tosatti studies the properties of spatial objects from their inherent connectivity while ignoring the detailed form. His research has helped to solve several problems in mathematics that are applicable to string theoretical models of grand unification. Dr. Tosatti conducted a complete analysis of adiabatic limits of Ricci-flat metrics. In addition, he found a complete solution of the Calabi-Yau equation on Hermitian manifolds.
Dr. Tosatti says that receiving the Blavatnik Award has given him more freedom to pursue areas of research that he is interested in including a study of a generalization of Calabi-Yau spaces and their geometry, and the creation of a new evolution equation on a general class of geometric spaces, which aims to deform a given space to its most symmetric shape (if it exists). He has also recently studied connections with problems in algebraic geometry.
Valentino Tosatti is a member of the editorial boards of Universitatis Iagellonicae Acta Mathematica and of the Lecture Notes of the Unione Matematica Italiana.
“The underlying theme of my research is using differential equations to study problems of geometric nature that have their origin in Physics (string theory, general relativity). This kind of basic research is necessary to generate technological progress in the long term."
Key Publications:
- Gross M, Tosatti V, Zhang Y. Collapsing of abelian fibered Calabi–Yau manifolds. Duke Math. J. 162. 2013
- Tosatti V. Adiabatic limits of Ricci-flat Kähler metrics. J. Differential Geom. 84. 2010
- Tosatti V, Weinkove B. The complex Monge-Ampère equation on compact Hermitian manifolds. J. Amer. Math. Soc. 23. 2010
Other Honors:
2013 National Science Foundation grant
2012-2014 Alfred P. Sloan Research Fellowship
2010 National Science Foundation grant
2009 Prize Premio Giuseppe Bartolozzi
2007-2008 Harvard Merit Fellowship