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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

Shing-Tung Yau publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Shing-Tung Yau sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 1,043 publications — 100th percentile

100% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Shing-Tung Yau D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Shing-Tung Yau sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 122 D-Index — 100th percentile

100% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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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