• 714 Citations
20012022
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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

Complex Geometry
Four-manifolds
Partial differential equation
Calabi-Yau Manifolds
Ricci Flow
Geometric Analysis
Complex Manifolds
Four-manifolds
Physics
Calabi-Yau Manifolds
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

  • 714 Citations
  • 44 Article
  • 2 Chapter
  • 1 Conference contribution
  • 1 Conference article
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 journalArticle

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 journalArticle

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 journalArticle

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 journalArticle

Almost Complex Manifolds
Almost Complex Structure
Existence and Uniqueness of Solutions
4 Citations (Scopus)
Geodesic
Half line
Regularity
Compact Manifold
Estimate