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Shing-Tung Yau

Shing-Tung Yau

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Mathematics
China
2026
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Mathematics
USA
2022

D-Index & Metrics

Mathematics

D-Index
122
Citations
64324
World Ranking
11
National Ranking
1

Research.com Recognitions

  • 2026 - Research.com Mathematics in China Leader Award
  • 2025 - Research.com Mathematics in China Leader Award
  • 2022 - Research.com Mathematics in United States Leader Award
  • 2013 - Fellow of the American Mathematical Society
  • 2010 - Wolf Prize in Mathematics for his work in geometric analysis that has had a profound and dramatic impact on many areas of geometry and physics.
  • 1997 - US President's National Medal of Science "For his fundamental contributions in mathematics and physics. Through his work, the understanding of basic geometric differential equations has been changed and he has expanded their role enormously within mathematics.", Presented by President Bill Clinton at a ceremony in Room 450, Old Executive Office Building, on Tuesday, December 17, 1997.
  • 1993 - Member of the National Academy of Sciences
  • 1993 - Fellow of the American Association for the Advancement of Science (AAAS)
  • 1985 - Fellow of the MacArthur Foundation
  • 1983 - Fellow of the American Academy of Arts and Sciences
  • 1982 - Fields Medal of International Mathematical Union (IMU) Made contributions in differential equations, also to the Calabi conjecture in algebraic geometry, to the positive mass conjecture of general relativity theory, and to real and complex Monge–Ampère equations.
  • 1980 - Fellow of John Simon Guggenheim Memorial Foundation
  • 1974 - Fellow of Alfred P. Sloan Foundation

Overview

Shing-Tung Yau is affiliated with Tsinghua University in China and has an extensive record of research primarily in mathematics and physics. Their work spans multiple highly specialized fields, with a focus on geometry and topology, astronomy and astrophysics, mathematical physics, nuclear and high energy physics, and applied mathematics.

The central themes in their research encompass black holes and theoretical physics, geometry and complex manifolds, cosmology and gravitation theories, geometric analysis and curvature flows, algebraic geometry and number theory, advanced algebra and geometry, and homotopy and cohomology in algebraic topology.

The scientist's recent published papers include the following:

  • "A Geometric Understanding of Deep Learning," 2020, Engineering
  • "Path Complexes and their Homologies," 2020, Journal of Mathematical Sciences
  • "Chiral algebra of the Argyres-Douglas theory from M5 branes," 2021, Physical Review D
  • "(1,1) forms with specified Lagrangian phase: a priori estimates and algebraic obstructions," 2020, Cambridge Journal of Mathematics
  • "Path Topology in Molecular and Materials Sciences," 2023, The Journal of Physical Chemistry Letters

Frequent co-authors collaborating with this scientist include:

  • Artan Sheshmani
  • Tristan C. Collins
  • Mu-Tao Wang
  • Ye-Kai Wang
  • Yong Lin

The most common venues for publication are:

  • arXiv (Cornell University)
  • Notices of the International Consortium of Chinese Mathematicians
  • Proceedings of the National Academy of Sciences
  • Advances in Theoretical and Mathematical Physics
  • Communications in Mathematical Physics

Shing-Tung Yau has been recognized with multiple awards, including the Fields Medal awarded by the International Mathematical Union in 1982 for contributions in differential equations, the Calabi conjecture in algebraic geometry, the positive mass conjecture of general relativity theory, and Monge-Ampère equations.

Other distinctions include the Wolf Prize in Mathematics in 2010 for work in geometric analysis affecting geometry and physics, the US President's National Medal of Science in 1997, Fellowships from the American Mathematical Society (2013), the American Association for the Advancement of Science (1993), the MacArthur Foundation (1985), the American Academy of Arts and Sciences (1983), the John Simon Guggenheim Memorial Foundation (1980), and the Alfred P. Sloan Foundation (1974). They were also elected as a Member of the National Academy of Sciences in 1993.

Best Publications

  • On The Ricci Curvature of a Compact Kahler Manifold and the Complex Monge-Ampere Equation, I*

    Shing-Tung Yau

  • On the parabolic kernel of the Schrödinger operator

    Peter Li;Shing Tung Yau

  • Mirror symmetry is T duality

    Andrew Strominger;Shing Tung Yau;Eric Zaslow

  • On the proof of the positive mass conjecture in general relativity

    Richard Schoen;Shing Tung Yau

  • Harmonic functions on complete riemannian manifolds

    Shing-Tung Yau

  • Calabi's conjecture and some new results in algebraic geometry

    Shing-Tung Yau

  • Differential equations on riemannian manifolds and their geometric applications

    S. Y. Cheng;S. T. Yau

  • Lectures on Differential Geometry

    Richard M. Schoen;Shing Tung Yau

  • On the existence of hermitian‐yang‐mills connections in stable vector bundles

    K. Uhlenbeck;S. T. Yau

  • Proof of the positive mass theorem. II

    Richard Schoen;Shing Tung Yau

  • On the structure of manifolds with positive scalar curvature

    Richard Schoen;Shing-Tung Yau

  • Genus zero surface conformal mapping and its application to brain surface mapping

    Xianfeng Gu;Yalin Wang;T.F. Chan;P.M. Thompson

  • Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature

    R. Schoen;Shing-Tung Yau

  • On the Schrodinger Equation and the Eigenvalue Problem

    Peter Li;Shing Tung Yau

  • Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces

    Shiu-Yuen Cheng;Shing-Tung Yau

  • A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces

    Peter Li;Shing-Tung Yau

  • A GENERAL SCHWARZ LEMMA FOR KAHLER MANIFOLDS.

    Shing-Tung Yau

  • Conformally flat manifolds, Kleinian groups and scalar curvature

    R. Schoen;S. T. Yau

  • Hypersurfaces with constant scalar curvature

    Shiu-Yuen Cheng;Shing-Tung Yau

  • On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of fefferman's equation

    Shiu-Yuen Cheng;Shing-Tung Yau

Frequent Co-Authors

Xianfeng Gu
Xianfeng Gu Stony Brook University
Zhouping Xin
Zhouping Xin Chinese University of Hong Kong
Tony F. Chan
Tony F. Chan University of California, Los Angeles
Joel Smoller
Joel Smoller University of Michigan–Ann Arbor
Paul M. Thompson
Paul M. Thompson University of Southern California
Richard Schoen
Richard Schoen University of California, Irvine
Eric D'Hoker
Eric D'Hoker University of California, Los Angeles
Alexander Grigor'yan
Alexander Grigor'yan Bielefeld University
Fan Chung
Fan Chung University of California, San Diego
Cumrun Vafa
Cumrun Vafa Harvard University

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