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

## 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

##
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)

## 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

## 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