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Jian Song

Rutgers, The State University

    • 620 Citations
    • 14 h-Index
    20052020
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    • 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

    Song, J.

    National Science Foundation (NSF)

    9/1/17 → 8/31/20

    Rutgers, The State University

    Project: Research project

    Ricci Flow
    Metric
    Singularity
    Continue
    Complex Monge-Ampère Equation

    Canonical Metrics, Geometric Flows And Formation Of Singularities

    Song, J.

    National Science Foundation (NSF)

    8/1/14 → 7/31/17

    Rutgers, The State University

    Project: Research project

    Geometric Flows
    Singularity
    Metric
    Ricci Flow
    Minimal Model

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

    Song, J.

    National Science Foundation (NSF)

    8/15/09 → 7/31/14

    Rutgers, The State University

    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

    Song, J.

    National Science Foundation (NSF)

    9/10/07 → 6/30/10

    Rutgers, The State University

    Project: Research project

    Ricci Flow
    Metric
    Constant Scalar Curvature
    Moment Map
    Einstein Metrics

    Research Output 2005 2019

    • 620 Citations
    • 14 h-Index
    • 35 Article
    • 2 Chapter
    • 1 Conference contribution

    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.

    Rutgers, The State University

    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.

    Rutgers, The State University

    Research output: Contribution to journal › Article

    Geometric Convergence
    Surfaces of General Type
    Ricci Flow
    Orbifold
    Canonical Model