World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
49
Citations
21986
World Ranking
1110
National Ranking
511

Raoul Bott 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 Raoul Bott 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: 106 publications — 14th percentile

14% of scientists in this discipline score the same or lower.

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

Raoul Bott 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 Raoul Bott 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: 49 D-Index — 69th percentile

69% 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

  • 2000 - Wolf Prize in Mathematics for his deep discoveries in topology and differential geometry and their applications to Lie groups, differential operators and mathematical physics.
  • 1987 - US President's National Medal of Science "In recognition of his profound studies in the topology of Lie groups and differential geometry over many decades, and in particular for his 'periodicity theorem'.", Presented by President Reagan at a White House Ceremony on June 25, 1987.
  • 1976 - Fellow of John Simon Guggenheim Memorial Foundation
  • 1964 - Member of the National Academy of Sciences
  • 1956 - Fellow of Alfred P. Sloan Foundation

Overview

Raoul Bott was affiliated with Harvard University in the United States during their academic career. The scope of their work primarily encompassed the areas of topology and differential geometry.

Throughout their career, they received significant recognition in the scientific community, reflecting their contributions to these fields. Among the awards received were the Wolf Prize in Mathematics in 2000, awarded for discoveries in topology and differential geometry and their applications to Lie groups, differential operators, and mathematical physics. In 1987, they were honored with the US President's National Medal of Science, recognizing profound studies in the topology of Lie groups and differential geometry, notably for the development of the periodicity theorem. Other distinctions included fellowships from the John Simon Guggenheim Memorial Foundation in 1976 and the Alfred P. Sloan Foundation in 1956, as well as election to the National Academy of Sciences in 1964.

Their work notably impacted the understanding of Lie groups and the interplay between geometry and topology, contributing to mathematical physics through differential operators. These areas represent the core topics and themes associated with their research.

Raoul Bott's publication record does not feature recent papers, coauthors, or frequent publication venues in the provided data, nor specific book publications. However, the awards and honors illustrate the extent and duration of their influence in mathematical research, particularly over several decades.

Best Publications

  • Differential Forms in Algebraic Topology

    Raoul Bott;Loring W. Tu

  • The Yang-Mills equations over Riemann surfaces

    Michael Francis Atiyah;Raoul Bott

  • The moment map and equivariant cohomology

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

  • Homogeneous Vector Bundles

    Raoul Bott

  • On the heat equation and the index theorem

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

  • The Stable Homotopy of the Classical Groups

    Raoul Bott

  • A Lefschetz Fixed Point Formula for Elliptic Complexes: I

    M. F. Atiyah;R. Bott

  • A Lefschetz Fixed Point Formula for Elliptic Complexes: II. Applications

    M. F. Atiyah;R. Bott

  • Applications of the Theory of Morse to Symmetric Spaces

    Raoul Bott;Hans Samelson

  • On the self‐linking of knots

    Raoul Bott;Clifford Taubes

  • Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic sections

    Raoul Bott;Raoul Bott;S. S. Chern;S. S. Chern

  • On the iteration of closed geodesics and the sturm intersection theory

    Raoul Bott

  • An application of the Morse theory to the topology of Lie-groups

    Raoul Bott

  • Lectures on Morse theory, old and new

    Raoul Bott

  • Lacunas for hyperbolic differential operators with constant coefficients I

    M. F. Atiyah;R. Bott;L. Gårding

  • Nondegenerate Critical Manifolds

    Raoul Bott

  • Lectures on characteristic classes and foliations

    Unknown

  • The space of loops on a Lie group.

    Raoul Bott

  • Singularities of holomorphic foliations

    Paul Baum;Raoul Bott;Raoul Bott

  • On the rigidity theorems of Witten

    Raoul Bott;Clifford Taubes

  • Morse theory indomitable

    Raoul Bott

Frequent Co-Authors

Michael Atiyah
Michael Atiyah University of Edinburgh
Clifford Henry Taubes
Clifford Henry Taubes Harvard University
Shiing-Shen Chern
Shiing-Shen Chern University of California, Berkeley
Rajendra Bhatia
Rajendra Bhatia Ashoka University
Jiří Matoušek
Jiří Matoušek Charles University
Boris Dubrovin
Boris Dubrovin International School for Advanced Studies
Martin Golubitsky
Martin Golubitsky The Ohio State University
Goro Shimura
Goro Shimura Princeton University
Béla Bollobás
Béla Bollobás University of Memphis

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