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Shing-Tung Yau

Shing-Tung Yau

Tsinghua University
China

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Mathematics
China
2026
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Mathematics
USA
2022

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 122 11 10 1 1 1043 64324

Shing-Tung Yau publications per year

The chart shows the history of publications by Shing-Tung Yau between 1970 and 2025, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Shing-Tung Yau published across 56 years, from 1970 to 2025, averaging 21.2 papers a year. Output peaked at 90 publications in 2008. 50 of the 1,188 publications appeared in the last two years.

No. of publications
20 40 60 80
Bar chart. Horizontal axis: year, 1970 to 2025. Vertical axis: number of publications, 0 to 90. Peak 90 publications in 2008. 1970: 1 publication 1971: 1 publication 1972: 2 publications 1973: 2 publications 1974: 5 publications 1975: 5 publications 1976: 5 publications 1977: 5 publications 1978: 4 publications 1979: 8 publications 1980: 6 publications 1981: 6 publications 1982: 11 publications 1983: 5 publications 1984: 4 publications 1985: 3 publications 1986: 7 publications 1987: 8 publications 1988: 3 publications 1989: 1 publication 1990: 5 publications 1991: 7 publications 1992: 8 publications 1993: 14 publications 1994: 8 publications 1995: 7 publications 1996: 40 publications 1997: 13 publications 1998: 41 publications 1999: 17 publications 2000: 22 publications 2001: 74 publications 2002: 36 publications 2003: 39 publications 2004: 15 publications 2005: 16 publications 2006: 48 publications 2007: 16 publications 2008: 90 publications 2009: 18 publications 2010: 36 publications 2011: 19 publications 2012: 85 publications 2013: 34 publications 2014: 37 publications 2015: 32 publications 2016: 30 publications 2017: 43 publications 2018: 27 publications 2019: 32 publications 2020: 39 publications 2021: 50 publications 2022: 23 publications 2023: 25 publications 2024: 26 publications 2025: 24 publications
1970 2025

1,188 publications in total across all disciplines

View publications per year as a table
Shing-Tung Yau: publications per year, 1970 to 2025
Year Publications
1970 1
1971 1
1972 2
1973 2
1974 5
1975 5
1976 5
1977 5
1978 4
1979 8
1980 6
1981 6
1982 11
1983 5
1984 4
1985 3
1986 7
1987 8
1988 3
1989 1
1990 5
1991 7
1992 8
1993 14
1994 8
1995 7
1996 40
1997 13
1998 41
1999 17
2000 22
2001 74
2002 36
2003 39
2004 15
2005 16
2006 48
2007 16
2008 90
2009 18
2010 36
2011 19
2012 85
2013 34
2014 37
2015 32
2016 30
2017 43
2018 27
2019 32
2020 39
2021 50
2022 23
2023 25
2024 26
2025 24
Total 1,188
Download as CSV

Shing-Tung Yau publications per year - data summary

  • Shing-Tung Yau, a Mathematics scholar from Tsinghua University, has 1,188 publications recorded across 56 years, from 1970 to 2025.
  • The oldest publication on record dates to 1970 and the most recent to 2025.
  • The most productive year is 2008, with 90 publications.
  • The least productive years with any output are 1970, 1971 and 1989, with 1 publication each.
  • The rate of publication averages 21.2 papers per year over the whole span, or 21.2 per year counting only the 56 years with at least one publication.
  • The last 5 years on the chart (2021-2025) hold 148 publications, 12% of the career total.
  • Split into equal eras - 1970-1988: 91 publications (4.8 per year); 1989-2007: 427 publications (22.5 per year); 2008-2025: 670 publications (37.2 per year).
  • Comparing the opening and closing eras, the overall trend of publication is rising.

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.

No. of scientists
25 50 75 100
Bar chart with 100 bars. Horizontal axis: publications, 42–46 to 537+. Vertical axis: number of scientists, 0 to 112. Most scientists, 112, have 142–146 publications. The last bar groups every scientist with 537 publications or more. The highlighted bar, 537+ publications, is where this scientist sits. 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 scientist 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientist 522–526 publications: 3 scientists 527–531 publications: 1 scientist 532–536 publications: 4 scientists 537+ publications: 100 scientists
42–46 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.

View publications distribution as a table
Number of Mathematics scientists by publication count, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
Publications Scientists This scientist
42–46 3
47–51 5
52–56 7
57–61 20
62–66 14
67–71 25
72–76 19
77–81 35
82–86 50
87–91 60
92–96 86
97–101 84
102–106 83
107–111 90
112–116 99
117–121 90
122–126 91
127–131 109
132–136 110
137–141 98
142–146 112
147–151 102
152–156 88
157–161 106
162–166 83
167–171 102
172–176 77
177–181 81
182–186 78
187–191 71
192–196 92
197–201 64
202–206 69
207–211 64
212–216 62
217–221 58
222–226 53
227–231 50
232–236 46
237–241 46
242–246 46
247–251 43
252–256 29
257–261 45
262–266 30
267–271 33
272–276 34
277–281 30
282–286 31
287–291 21
292–296 34
297–301 26
302–306 10
307–311 17
312–316 23
317–321 13
322–326 16
327–331 26
332–336 13
337–341 13
342–346 16
347–351 17
352–356 12
357–361 18
362–366 18
367–371 9
372–376 11
377–381 8
382–386 8
387–391 9
392–396 9
397–401 8
402–406 11
407–411 6
412–416 6
417–421 9
422–426 8
427–431 5
432–436 8
437–441 8
442–446 4
447–451 4
452–456 4
457–461 2
462–466 2
467–471 4
472–476 3
477–481 3
482–486 6
487–491 3
492–496 5
497–501 5
502–506 1
507–511 6
512–516 4
517–521 1
522–526 3
527–531 1
532–536 4
537+ 100 1,043
Download as CSV

Shing-Tung Yau publication distribution in Mathematics in 2026 - data summary

  • The chart plots the publication count of all 3,584 Mathematics scientists ranked by Research.com in 2026, grouped into 100 ranges running from 42–46 to 537+ publications.
  • Shing-Tung Yau, a Mathematics scholar from Tsinghua University, records 1,043 publications - the 100th percentile of the discipline.
  • 100% of ranked Mathematics scientists score the same or lower than Shing-Tung Yau, and about 0% score higher.
  • The median of the discipline falls in the 172–176 publications range, and Shing-Tung Yau ranks above the median.
  • The most crowded range is 142–146 publications, holding 112 scientists (3% of the field).
  • 47% of the field sits in the lowest quarter of the value range (up to 162–166 publications), so the distribution leans towards the lower end of the scale.
  • The final bar has no upper bound: it groups every scientist with 537 publications or more, 100 scientists in all (3% of the field).

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.

No. of scientists
50 100 150
Bar chart with 57 bars. Horizontal axis: D-Index, 30 to 86+. Vertical axis: number of scientists, 0 to 174. Most scientists, 174, have 30 D-Index. The last bar groups every scientist with 86 D-Index or more. The highlighted bar, 86+ D-Index, is where this scientist sits. 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.

View D-Index distribution as a table
Number of Mathematics scientists by D-index, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
D-Index Scientists This scientist
30 174
31 151
32 174
33 117
34 136
35 127
36 145
37 153
38 150
39 150
40 138
41 136
42 93
43 108
44 115
45 112
46 103
47 75
48 59
49 67
50 60
51 57
52 59
53 62
54 60
55 50
56 42
57 54
58 50
59 42
60 41
61 35
62 40
63 21
64 31
65 27
66 29
67 19
68 25
69 17
70 18
71 12
72 14
73 13
74 18
75 9
76 11
77 10
78 9
79 16
80 12
81 10
82 5
83 5
84 13
85 6
86+ 99 122
Download as CSV

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

  • The chart plots the discipline H-index (D-index) of all 3,584 Mathematics scientists ranked by Research.com in 2026, grouped into 57 ranges running from 30 to 86+ D-Index.
  • Shing-Tung Yau, a Mathematics scholar from Tsinghua University, records 122 D-Index - the 100th percentile of the discipline.
  • 100% of ranked Mathematics scientists score the same or lower than Shing-Tung Yau, and about 0% score higher.
  • The median of the discipline falls in the 42 D-Index range, and Shing-Tung Yau ranks above the median.
  • The most crowded range is 30 D-Index, holding 174 scientists (5% of the field).
  • 58% of the field sits in the lowest quarter of the value range (up to 44 D-Index), so the distribution is heavily right-skewed and high scores are rare.
  • The final bar has no upper bound: it groups every scientist with 86 D-Index or more, 99 scientists in all (3% of the field).

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

External Links

Wikipedia of Shing-Tung Yau Personal website of Shing-Tung Yau Google Scholar page

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