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Mathematics
UK
2022

D-Index & Metrics

Mathematics

D-Index
85
Citations
56111
World Ranking
102
National Ranking
7

Michael Atiyah 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 Michael Atiyah 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: 274 publications — 82nd percentile

82% of scientists in this discipline score the same or lower.

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

Michael Atiyah 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 Michael Atiyah 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: 85 D-Index — 97th percentile

97% 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

  • 2022 - Research.com Mathematics in United Kingdom Leader Award
  • 2008 - President's Medal of the IOP, Institute of Physics
  • 2004 - Abel Prize For their discovery and proof of the index theorem, bringing together topology, geometry and analysis, and their outstanding role in building new bridges between mathematics and theoretical physics.
  • 1978 - Member of the National Academy of Sciences
  • 1966 - Fields Medal of International Mathematical Union (IMU) Did joint work with Hirzebruch in K-theory; proved jointly with Singer the index theorem of elliptic operators on complex manifolds; worked in collaboration with Bott to prove a fixed point theorem related to the 'Lefschetz formula'.

Overview

Michael Atiyah was affiliated with the University of Edinburgh in the United Kingdom. Their research contributions spanned several fields, primarily centered on mathematics and materials science, with notable focus on geometry and topology, nuclear and high energy physics, computational theory and mathematics, polymers and plastics, and materials chemistry.

The scientist's recent publications included the following papers:

  • "Anyon Networks from Geometric Models of Matter" (2021) published in The Quarterly Journal of Mathematics
  • "New Subclasses of Bi-univalent Functions Associated with Quasi-subordination" (2025) published in the Journal of Al-Qadisiyah for Computer Science and Mathematics

Frequent collaborators throughout the career included Matilde Marcolli, Saad Raheem Bakheet, and Muhammed Salih Muhammed.

The primary venues for publishing research were:

  • The Quarterly Journal of Mathematics
  • Journal of Al-Qadisiyah for Computer Science and Mathematics

Main areas of study in their work included:

  • Mathematics
  • Materials Science

Significant subfields explored include:

  • Geometry and Topology
  • Nuclear and High Energy Physics
  • Computational Theory and Mathematics
  • Polymers and Plastics
  • Materials Chemistry

The scientific topics addressed involved:

  • Black Holes and Theoretical Physics
  • Algebraic Structures and Combinatorial Models
  • Topological and Geometric Data Analysis
  • Analytic and Geometric Function Theory
  • Polymer Synthesis and Characterization
  • X-ray Diffraction in Crystallography

Atiyah was recognized with several awards over the course of their career including the Fields Medal from the International Mathematical Union in 1966 for joint work on K-theory and the index theorem of elliptic operators, the Abel Prize in 2004 for contributions to bringing together topology, geometry, and analysis, a membership in the National Academy of Sciences in 1978, and the President's Medal of the Institute of Physics in 2008.

Best Publications

  • Introduction to Commutative Algebra

    Michael Atiyah

  • Spectral asymmetry and Riemannian geometry. III

    M. F. Atiyah;V. K. Patodi;I. M. Singer

  • The Yang-Mills equations over Riemann surfaces

    Michael Francis Atiyah;Raoul Bott

  • Self-duality in four-dimensional Riemannian geometry

    Michael Francis Atiyah;Nigel James Hitchin;I. M. Singer

  • Construction of Instantons

    M.F. Atiyah;Nigel J. Hitchin;V.G. Drinfeld;Yu.I. Manin

  • THE INDEX OF ELLIPTIC OPERATORS

    Michael F. Atiyah

  • The moment map and equivariant cohomology

    M.F. Atiyah;M.F. Atiyah;R. Bott;R. Bott

  • Vector Bundles Over an Elliptic Curve

    M. F. Atiyah

  • Convexity and Commuting Hamiltonians

    M. F. Atiyah

  • The Index of elliptic operators. 1

    M.F. Atiyah;I.M. Singer

  • The Geometry and Dynamics of Magnetic Monopoles

    Michael Francis Atiyah;Nigel J Hitchin

  • Topological quantum field theories

    Michael F. Atiyah

  • Complex analytic connections in fibre bundles

    M. F. Atiyah

  • The Index of elliptic operators. 3.

    Unknown

  • On the heat equation and the index theorem

    M. Atiyah;R. Bott;V. K. Patodi;V. K. Patodi

  • The index of elliptic operators on compact manifolds

    M. F. Atiyah;I. M. Singer

  • Vector bundles and homogeneous spaces

    Michael Francis Atiyah;Friedrich Hirzebruch

  • A Lefschetz Fixed Point Formula for Elliptic Complexes: I

    M. F. Atiyah;R. Bott

  • The Index of Elliptic Operators: IV

    M.F. Atiyah;I.M. Singer

  • The Geometry and Physics of Knots

    Michael Francis Atiyah

  • Spectral Asymmetry and Riemannian Geometry

    M. F. Atiyah;V. K. Patodi;I. M. Singer

Frequent Co-Authors

Nigel Hitchin
Nigel Hitchin University of Oxford
Raoul Bott
Raoul Bott Harvard University
Friedrich Hirzebruch
Friedrich Hirzebruch Max Planck Institute for Mathematics
Graeme B. Segal
Graeme B. Segal University of Oxford
Paul Sutcliffe
Paul Sutcliffe Durham University
Alan Bundy
Alan Bundy University of Edinburgh
Edward Witten
Edward Witten Institute for Advanced Study
Semir Zeki
Semir Zeki University College London
Gregory W. Moore
Gregory W. Moore Rutgers, The State University of New Jersey

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