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Mathematics
China
2026

D-Index & Metrics

Mathematics

D-Index
70
Citations
20628
World Ranking
275
National Ranking
12

Research.com Recognitions

  • 2026 - Research.com Mathematics in China Leader Award
  • 2025 - Research.com Mathematics in China Leader Award
  • 2004 - Fellow of the American Academy of Arts and Sciences
  • 1991 - Fellow of Alfred P. Sloan Foundation

Overview

Gang Tian is affiliated with Peking University in China and conducts research primarily in the field of Mathematics. Their work spans various subfields, focusing notably on Geometry and Topology, Applied Mathematics, Civil and Structural Engineering, Nuclear and High Energy Physics, as well as Astronomy and Astrophysics.

The scientist's research addresses complex topics including Geometry and complex manifolds, Geometric Analysis and Curvature Flows, Algebraic Geometry and Number Theory, Advanced Differential Geometry Research, Black Holes and Theoretical Physics, Advanced Algebra and Geometry, and Soil and Unsaturated Flow.

Among recent publications, Gang Tian has contributed to work such as "Effect of high-elasticity anti-rutting additive on viscoelastic behavior of asphalt binder and its modification mechanism" (2023), published in Case Studies in Construction Materials. Another publication includes "On the existence of conic Kähler-Einstein metrics" (2020) in Advances in Mathematics. Coauthorship appears frequently in collaborative works, connecting with researchers such as Xiaohua Zhu, Qian Zhai, Alfrendo Satyanaga, Guangbo Xu, and Wangjian Jian.

Frequent publication venues for Gang Tian include:

  • arXiv (Cornell University)
  • Peking Mathematical Journal
  • Journal für die reine und angewandte Mathematik (Crelles Journal)
  • Results in Engineering
  • BMC Nursing

Highlighted recent papers from peers in related fields to Gang Tian's areas of interest include:

  • The Uniform Version of Yau-Tian-Donaldson Conjecture for Singular Fano Varieties (2021), published in Peking Mathematical Journal
  • On the Yau-Tian-Donaldson Conjecture for Singular Fano Varieties (2020), published in Communications on Pure and Applied Mathematics
  • Basis divisors and balanced metrics (2021), published in Journal für die reine und angewandte Mathematik (Crelles Journal)

Gang Tian's scholarly contributions are complemented by their collaborations with several frequent coauthors, among them are:

  • Xiaohua Zhu
  • Qian Zhai
  • Alfrendo Satyanaga
  • Guangbo Xu
  • Wangjian Jian

Recognition of Gang Tian's scientific career includes fellowship awards such as Fellow of the American Academy of Arts and Sciences awarded in 2004 and Fellow of the Alfred P. Sloan Foundation received in 1991.

Best Publications

  • Kähler-Einstein metrics with positive scalar curvature

    Gang Tian

  • A mathematical theory of quantum cohomology

    Yongbin Ruan;Gang Tian

  • On Calabi's conjecture for complex surfaces with positive first Chern class.

    Gang Tian

  • On a set of polarized Kähler metrics on algebraic manifolds

    Gang Tian

  • Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties

    Jun Li;Gang Tian

  • On Kähler-Einstein metrics on certain Kähler manifolds withC1 (M)>0

    Unknown

  • K‐Stability and Kähler‐Einstein Metrics

    Gang Tian;Gang Tian

  • Smoothness of the Universal Deformation Space of Compact Calabi-Yau Manifolds and Its Peterson-Weil Metric

    Gang Tian

  • Virtual moduli cycles and Gromov-Witten invariants of general symplectic manifolds

    Jun Li;Gang Tian

  • Ricci Flow and the Poincare Conjecture

    John W. Morgan;Gang Tian

  • Gauge theory and calibrated geometry, I

    Gang Tian

  • Complete Kähler manifolds with zero Ricci curvature. I

    Gang Tian;Shing Tung Yau

  • Kahler-einstein Metrics on Complex Surfaces With C(1) > 0

    Gang Tian;Shing Tung Yau

  • Floer homology and Arnold conjecture

    Gang Liu;Gang Tian

  • Geometry of Kähler metrics and foliations by holomorphic discs

    X. X. Chen;G. Tian;G. Tian

  • Energy identity for a class of approximate harmonic maps from surfaces

    Weiyue Ding;Gang Tian

  • Canonical Metrics in Kahler Geometry

    Gang Tian

  • Canonical measures and Kähler-Ricci flow

    Jian Song;Gang Tian

  • On the singularities of spaces with bounded Ricci curvature

    J. Cheeger;T.H. Colding;G. Tian

  • Kähler-Einstein metrics and the generalized Futaki invariant

    Weiyue Ding;Gang Tian

  • K-stability and K"ahler-Einstein metrics

    Gang Tian

Frequent Co-Authors

Xiuxiong Chen
Xiuxiong Chen Stony Brook University
Yongbin Ruan
Yongbin Ruan University of Michigan–Ann Arbor
Fabrizio Catanese
Fabrizio Catanese University of Bayreuth
Jeff Cheeger
Jeff Cheeger Courant Institute of Mathematical Sciences
John W. Morgan
John W. Morgan Stony Brook University
Shing-Tung Yau
Shing-Tung Yau Tsinghua University
YanYan Li
YanYan Li Rutgers, The State University of New Jersey
Terence Tao
Terence Tao University of California, Los Angeles

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