Projects per year

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

- 7 Similar Profiles

Ricci Flow
Mathematics

Metric
Mathematics

Einstein Metrics
Mathematics

Chern Classes
Mathematics

Divisor
Mathematics

Fano Manifolds
Mathematics

Converge
Mathematics

Singularity
Mathematics

##
Network
Recent external collaboration on country level. Dive into details by clicking on the dots.

## Projects 2007 2020

## Canonical Metrics, The Kahler-Ricci Flow, And Their Applica1Ons

National Science Foundation (NSF)

9/1/17 → 8/31/20

Project: Research project

Ricci Flow

Metric

Singularity

Continue

Complex Monge-Ampère Equation

## Canonical Metrics, Geometric Flows And Formation Of Singularities

National Science Foundation (NSF)

8/1/14 → 7/31/17

Project: Research project

Geometric Flows

Singularity

Metric

Ricci Flow

Minimal Model

## Career: Canonical Metrics, Complex Monge-Ampere Equations And Geometric Flows

National Science Foundation (NSF)

8/15/09 → 7/31/14

Project: Research project

Complex Monge-Ampère Equation

Geometric Flows

Ricci Flow

Algebraic Geometry

Physics

## Nonlinear Geo Metric Equations Of Monge-Ampere Type And Canonical Metrics

National Science Foundation (NSF)

9/10/07 → 6/30/10

Project: Research project

Ricci Flow

Metric

Constant Scalar Curvature

Moment Map

Einstein Metrics

## Research Output 2005 2019

## Geometric estimates for complex Monge-Ampère equations

Fu, X., Guo, B. & Song, J., Jan 1 2019, (Accepted/In press) In : Journal fur die Reine und Angewandte Mathematik.Research output: Contribution to journal › Article

Estimate

Einstein Metrics

Singular Solutions

Collapsing

Regularity

4
Citations
(Scopus)

## Connecting toric manifolds by conical Kähler–Einstein metrics

Datar, V., Guo, B., Song, J. & Wang, X., Jan 7 2018, In : Advances in Mathematics. 323, p. 38-83 46 p.Research output: Contribution to journal › Article

Metric

Solitons

Lower bound

Topology

Path

25
Citations
(Scopus)

## The Kähler–Ricci flow through singularities

Song, J. & Tian, G., Feb 1 2017, In : Inventiones Mathematicae. 207, 2, p. 519-595 77 p.Rutgers, The State University, Princeton University

Research output: Contribution to journal › Article

Singularity

Ricci Flow

Minimal Model

Projective Variety

Flip

7
Citations
(Scopus)

## Bounding scalar curvature for global solutions of the Kähler-Ricci flow

Song, J. & Tian, G., Jun 1 2016, In : American Journal of Mathematics. 138, 3, p. 683-695 13 p.Princeton University, Rutgers, The State University

Research output: Contribution to journal › Article

Ricci Flow

Scalar Curvature

Global Solution

Three-dimension

Bundle

4
Citations
(Scopus)

## Geometric Convergence of the Kähler-Ricci Flow on Complex Surfaces of General Type

Guo, B., Song, J. & Weinkove, B., Jan 1 2016, In : International Mathematics Research Notices. 2016, 18, p. 5652-5669 18 p.Research output: Contribution to journal › Article

Geometric Convergence

Surfaces of General Type

Ricci Flow

Orbifold

Canonical Model