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Simon Donaldson

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 54 813 695 61 52 145 21477

Simon Donaldson publications per year

The chart shows the history of publications by Simon Donaldson between 1982 and 2025, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Simon Donaldson published across 44 years, from 1982 to 2025, averaging 3.7 papers a year. Output peaked at 14 publications in 1991. 10 of the 164 publications appeared in the last two years.

No. of publications
5 10
Bar chart. Horizontal axis: year, 1982 to 2025. Vertical axis: number of publications, 0 to 14. Peak 14 publications in 1991. 1982: 1 publication 1983: 3 publications 1984: 2 publications 1985: 2 publications 1986: 4 publications 1987: 4 publications 1988: 1 publication 1989: 4 publications 1990: 4 publications 1991: 14 publications 1992: 2 publications 1993: 1 publication 1994: 3 publications 1995: 5 publications 1996: 3 publications 1997: 3 publications 1998: 0 publications 1999: 3 publications 2000: 1 publication 2001: 4 publications 2002: 12 publications 2003: 3 publications 2004: 3 publications 2005: 4 publications 2006: 4 publications 2007: 1 publication 2008: 3 publications 2009: 3 publications 2010: 1 publication 2011: 12 publications 2012: 3 publications 2013: 3 publications 2014: 8 publications 2015: 2 publications 2016: 2 publications 2017: 5 publications 2018: 5 publications 2019: 4 publications 2020: 2 publications 2021: 3 publications 2022: 6 publications 2023: 1 publication 2024: 6 publications 2025: 4 publications
1982 2025

164 publications in total across all disciplines

View publications per year as a table
Simon Donaldson: publications per year, 1982 to 2025
Year Publications
1982 1
1983 3
1984 2
1985 2
1986 4
1987 4
1988 1
1989 4
1990 4
1991 14
1992 2
1993 1
1994 3
1995 5
1996 3
1997 3
1998 0
1999 3
2000 1
2001 4
2002 12
2003 3
2004 3
2005 4
2006 4
2007 1
2008 3
2009 3
2010 1
2011 12
2012 3
2013 3
2014 8
2015 2
2016 2
2017 5
2018 5
2019 4
2020 2
2021 3
2022 6
2023 1
2024 6
2025 4
Total 164
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Simon Donaldson publications per year - data summary

  • Simon Donaldson, a Mathematics scholar from Imperial College London, has 164 publications recorded across 44 years, from 1982 to 2025.
  • The oldest publication on record dates to 1982 and the most recent to 2025.
  • The most productive year is 1991, with 14 publications.
  • The least productive years with any output are 1982, 1988, 1993, 2000 and others, with 1 publication each.
  • 1 of the 44 years in the span carries no publications at all (1998).
  • The rate of publication averages 3.7 papers per year over the whole span, or 3.8 per year counting only the 43 years with at least one publication.
  • The last 5 years on the chart (2021-2025) hold 20 publications, 12% of the career total.
  • Split into equal eras - 1982-1996: 53 publications (3.5 per year); 1997-2011: 57 publications (3.8 per year); 2012-2025: 54 publications (3.9 per year).
  • Comparing the opening and closing eras, the overall trend of publication is broadly steady.

Simon Donaldson 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 Simon Donaldson 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, 142–146 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: 145 publications — 35th percentile

35% 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
142–146 112 145
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
Download as CSV

Simon Donaldson 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.
  • Simon Donaldson, a Mathematics scholar from Imperial College London, records 145 publications - the 35th percentile of the discipline.
  • 35% of ranked Mathematics scientists score the same or lower than Simon Donaldson, and about 65% score higher.
  • The median of the discipline falls in the 172–176 publications range, and Simon Donaldson ranks below 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).

Simon Donaldson 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 Simon Donaldson 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, 54 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: 54 D-Index — 78th percentile

78% 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 54
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
Download as CSV

Simon Donaldson 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.
  • Simon Donaldson, a Mathematics scholar from Imperial College London, records 54 D-Index - the 78th percentile of the discipline.
  • 78% of ranked Mathematics scientists score the same or lower than Simon Donaldson, and about 22% score higher.
  • The median of the discipline falls in the 42 D-Index range, and Simon Donaldson 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

  • 2020 - Wolf Prize in Mathematics for their contributions to differential geometry and topology.
  • 2013 - Fellow of the American Mathematical Society
  • 2000 - Member of the National Academy of Sciences
  • 1993 - Member of Academia Europaea
  • 1986 - Fellow of the Royal Society, United Kingdom
  • 1986 - Fields Medal of International Mathematical Union (IMU) Received medal primarily for his work on topology of four-manifolds, especially for showing that there is a differential structure on euclidian four-space which is different from the usual structure.

Overview

Simon Donaldson is affiliated with Imperial College London in the United Kingdom. Their research primarily spans the field of Mathematics, with a focus on several subfields including Geometry and Topology, Mathematical Physics, and Applied Mathematics. Other areas of interest include Nuclear and High Energy Physics, as well as Statistical and Nonlinear Physics.

The scientist's work covers key topics such as:

  • Geometric Analysis and Curvature Flows
  • Geometry and complex manifolds
  • Homotopy and Cohomology in Algebraic Topology
  • Geometric and Algebraic Topology
  • Advanced Algebra and Geometry
  • Numerical methods in inverse problems
  • Advanced Operator Algebra Research

Simon Donaldson has published frequently in several venues, including:

  • arXiv (Cornell University)
  • Bulletin of the American Mathematical Society
  • The Quarterly Journal of Mathematics
  • Notices of the American Mathematical Society
  • International Journal of Mathematics

Recent selected publications highlight their contributions with full titles, publication years, and venues as follows:

  • "Atiyah's work on holomorphic vector bundles and gauge theories," 2021, Bulletin of the American Mathematical Society
  • "Deformations Of Multivalued Harmonic Functions," 2021, The Quarterly Journal of Mathematics
  • "Isadore M. Singer (1924-2021) In Memoriam Part 1: Scientific Works," 2022, Notices of the American Mathematical Society
  • "Introduction to the Atiyah issue," 2021, Bulletin of the American Mathematical Society
  • "The ADHM construction of Yang-Mills instantons," 2022, arXiv (Cornell University)

Frequent co-authors who have collaborated on multiple publications include:

  • Fabian Lehmann
  • Robert L. Bryant
  • Jean-Michel Bismut
  • Jeff Cheeger
  • Phillip Griffiths

Throughout their career, Simon Donaldson has received various distinctions and memberships in prestigious organizations. These include:

  • Wolf Prize in Mathematics (2020) for contributions to differential geometry and topology
  • Fellow of the American Mathematical Society (2013)
  • Member of the National Academy of Sciences (2000)
  • Member of Academia Europaea (1993)
  • Fields Medal of International Mathematical Union (IMU) (1986), awarded primarily for work on the topology of four-manifolds, notably on differential structures on Euclidean four-space
  • Fellow of the Royal Society, United Kingdom (1986)

Best Publications

  • The Geometry of Four-Manifolds

    Simon K. Donaldson;P. B. Kronheimer

  • Anti Self‐Dual Yang‐Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles

    S. K. Donaldson

  • An application of gauge theory to four-dimensional topology

    Simon K. Donaldson

  • Scalar Curvature and Projective Embeddings, I

    S.K. Donaldson

  • Scalar Curvature and Stability of Toric Varieties

    S. K. Donaldson

  • Polynomial invariants for smooth four-manifolds

    S.K. Donaldson

  • A new proof of a theorem of Narasimhan and Seshadri

    S. K. Donaldson

  • Twisted harmonic maps and the self-duality equations

    S. K. Donaldson

  • The orientation of Yang-Mills moduli spaces and 4-manifold topology

    S. K. Donaldson

  • Symplectic submanifolds and almost-complex geometry

    S. K. Donaldson

  • Kahler-Einstein metrics on Fano manifolds, I: approximation of metrics with cone singularities

    Xiuxiong Chen;Simon Donaldson;Song Sun

  • Infinite determinants, stable bundles and curvature

    S. K. Donaldson

  • Gauge theory in higher dimensions, II

    S.K. Donaldson;R.P. Thomas

  • Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches 2 and completion of the main proof

    Xiuxiong Chen;Simon Donaldson;Song Sun

  • Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than 2

    Xiuxiong Chen;Simon Donaldson;Song Sun

  • Lefschetz pencils on symplectic manifolds

    S. K. Donaldson

  • Instantons and geometric invariant theory

    S. K. Donaldson;S. K. Donaldson

  • Nahm's equations and the classification of monopoles

    S. K. Donaldson;S. K. Donaldson

  • Irrationality and the $h$-cobordism conjecture

    S. K. Donaldson

  • Lower bounds on the Calabi functional

    S.K. Donaldson

  • Geometry of four-manifolds

    Simon K. Donaldson

Frequent Co-Authors

Xiuxiong Chen
Xiuxiong Chen Stony Brook University
Edward Witten
Edward Witten Institute for Advanced Study
Mikhael Gromov
Mikhael Gromov Institut des Hautes Études Scientifiques
Michael Atiyah
Michael Atiyah University of Edinburgh
Yakov Eliashberg
Yakov Eliashberg Stanford University

External Links

Wikipedia of Simon Donaldson Personal website of Simon Donaldson

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