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D-Index & Metrics

Mathematics

D-Index
54
Citations
21477
World Ranking
813
National Ranking
61

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.

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: 82 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: 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.

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.

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: 137 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.

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

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