Grants per year

## Personal profile

### Research Interests

Differential Geometry, Geometric Analysis, Complex Algebraic Geometry and Partial Differential Equations.

### Education/Academic qualification

PhD, Harvard University

… → 2009

MA, Harvard University

… → 2005

Italian Diploma, Scuola Normale Superiore of Pisa, Italy

… → 2004

Italian Laurea, University of Pisa, Italy

… → 2004

## Fingerprint Dive into the research topics where Valentino Tosatti is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

- 6 Similar Profiles

Metric
Mathematics

Compact Manifold
Mathematics

Calabi-Yau Manifolds
Mathematics

Calabi-Yau
Mathematics

Collapsing
Mathematics

Ricci Flow
Mathematics

Complex Manifolds
Mathematics

Fiber
Mathematics

##
Network
Recent external collaboration on country level. Dive into details by clicking on the dots.

## Grants 2012 2022

## Geometric Partial Differential Equations and Complex Geometry

9/1/19 → 8/31/22

Project: Research project

Complex Geometry

Four-manifolds

Partial differential equation

Calabi-Yau Manifolds

Ricci Flow

Geometric Analysis

Complex Manifolds

Four-manifolds

Physics

Calabi-Yau Manifolds

## Emphasis Year in Geometric Analysis at Northwestern University

Naber, A. C., Tosatti, V., Weinkove, B. & Zelditch, S. M.

1/15/15 → 12/31/15

Project: Research project

## Geometry and Analysis on Calabi-Yau and Hermitian Manifolds

9/15/13 → 8/31/16

Project: Research project

Hermitian Manifold

Calabi-Yau Manifolds

Four-manifolds

Ricci Flow

Symplectic Form

Four-manifolds

Ricci Flow

Hermitian Manifold

Calabi-Yau Manifolds

Symplectic Form

## Research Output 2001 2019

2
Citations
(Scopus)

## Hermitian metrics, (n-1,n-1) forms and Monge-Ampère equations

Tosatti, V. & Weinkove, B., Oct 1 2019, In : Journal fur die Reine und Angewandte Mathematik. 2019, 755, p. 67-101 35 p.Research output: Contribution to journal › Article

Calabi-Yau

Hermitian Manifold

Plurisubharmonic Function

Metric

Complex Manifolds

## Orthogonality of divisorial zariski decompositions for classes with volume zero

Tosatti, V., Mar 1 2019, In : Tohoku Mathematical Journal. 71, 1, p. 1-8 8 p.Research output: Contribution to journal › Article

Orthogonality

Compact Manifold

Decompose

Zero

Class

## Pluricomplex green's functions and fano manifolds

McCleerey, N. & Tosatti, V., Jan 1 2019, In : Epijournal de Geometrie Algebrique. 3, Y.Research output: Contribution to journal › Article

Pluricomplex Green Function

Fano Manifolds

Einstein Metrics

Complement

Singularity

4
Citations
(Scopus)

## The Monge–Ampère equation for non-integrable almost complex structures

Chu, J., Tosatti, V. & Weinkove, B., Jan 1 2019, In : Journal of the European Mathematical Society. 21, 7, p. 1949-1984 36 p.Research output: Contribution to journal › Article

Almost Complex Manifolds

Almost Complex Structure

Existence and Uniqueness of Solutions

4
Citations
(Scopus)

## C^{1,1} regularity for degenerate complex Monge–Ampère equations and geodesic rays

Chu, J., Tosatti, V. & Weinkove, B., Feb 1 2018, In : Communications in Partial Differential Equations. 43, 2, p. 292-312 21 p.Research output: Contribution to journal › Article

Geodesic

Half line

Regularity

Compact Manifold

Estimate