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)
C1,1 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