• 796 Citations
20042020
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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

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

  • 8 Similar Profiles
Ricci Flow Mathematics
Metric Mathematics
Compact Manifold Mathematics
Einstein Metrics Mathematics
Chern Classes Mathematics
Calabi-Yau Mathematics
Converge Mathematics
Estimate Mathematics

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Grants 2012 2020

Parabolic PDEs
Elliptic PDE
Ricci Flow
Collapsing
Geometric Flows
Differential Geometry
Stochastic Geometry
Riemannian geometry
Spectral Theory
Complex Geometry

Research Output 2004 2020

  • 796 Citations
  • 43 Article
  • 2 Chapter
  • 1 Conference contribution

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 journalArticle

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 journalArticle

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 journalArticle

Almost Complex Manifolds
Almost Complex Structure
Existence and Uniqueness of Solutions
4 Citations (Scopus)
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 journalArticle

Level Set
Convexity
Strict Convexity
Principal curvature
Harmonic Functions