Grants per year
Personal profile
Research Interests
Focuses on partial differential equations and complex geometry. This includes the study of canonical Kahler metrics, the Kahler-Ricci flow and the complex Monge-Ampere equation.
Education/Academic qualification
Mathematics, PhD, Columbia University
… → 2004
MMath , University of Oxford
… → 1999
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Ricci Flow
Mathematics
Metric
Mathematics
Compact Manifold
Mathematics
Einstein Metrics
Mathematics
Chern Classes
Mathematics
Calabi-Yau
Mathematics
Converge
Mathematics
Estimate
Mathematics
Network
Recent external collaboration on country level. Dive into details by clicking on the dots.
Grants 2012 2020
Parabolic PDEs
Elliptic PDE
Ricci Flow
Collapsing
Geometric Flows
Analysis on Manifolds
DeMarco, L. G., Getzler, E., Naber, A. C., Weinkove, B. & Wunsch, J.
7/1/15 → 6/30/20
Project: Research project
Differential Geometry
Stochastic Geometry
Riemannian geometry
Spectral Theory
Complex Geometry
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
Research Output 2004 2020
The Continuity Equation, Hermitian Metrics and Elliptic Bundles
Sherman, M. & Weinkove, B., Jan 1 2020, In : Journal of Geometric Analysis. 30, 1, p. 762-776 15 p.Research output: Contribution to journal › Article
Continuity Equation
Bundle
Genus
Metric
Curve
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
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
Convexity of level sets and a two-point function
Weinkove, B., Jan 1 2018, In : Pacific Journal of Mathematics. 295, 2, p. 499-509 11 p.Research output: Contribution to journal › Article
Level Set
Convexity
Strict Convexity
Principal curvature
Harmonic Functions