World's Best Scientists 2026 revealed!
Isadore Manuel Singer

Isadore Manuel Singer

D-Index & Metrics

Mathematics

D-Index
46
Citations
24289
World Ranking
1307
National Ranking
581

Isadore Manuel Singer 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 Isadore Manuel Singer 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: 99 publications — 10th percentile

10% of scientists in this discipline score the same or lower.

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

Isadore Manuel Singer 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 Isadore Manuel Singer 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: 46 D-Index — 64th percentile

64% 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

  • 2013 - Fellow of the American Mathematical Society
  • 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.
  • 2000 - Steele Prize for Lifetime Achievement
  • 1983 - US President's National Medal of Science "For his inspired revival of differential geometry and its connections to analysis; for his contribution to the discovery and applications of the index theorem for differential operators; and for his leadership in using geometric and topological methods in connection with theoretical physics.", Presented by President Reagan at a White House Ceremony on February 27, 1985.
  • 1975 - Fellow of John Simon Guggenheim Memorial Foundation
  • 1968 - Fellow of John Simon Guggenheim Memorial Foundation
  • 1968 - Member of the National Academy of Sciences
  • 1959 - Fellow of the American Academy of Arts and Sciences
  • 1959 - Fellow of Alfred P. Sloan Foundation

Overview

Isadore Manuel Singer is affiliated with the Massachusetts Institute of Technology (MIT) in the United States. Their academic career has been distinguished by a range of prestigious awards recognizing contributions to mathematics, particularly in the areas bridging topology, geometry, and analysis.

Their accolades include being awarded the Abel Prize in 2004, cited for the discovery and proof of the index theorem, which integrates elements of topology, geometry, and analysis. This work has been noted for establishing significant connections between mathematics and theoretical physics.

Additional honors received include the Steele Prize for Lifetime Achievement in 2000, and the US President's National Medal of Science in 1983. The National Medal of Science citation highlights their revival of differential geometry and its analytical connections, especially through the discovery and application of the index theorem for differential operators, as well as leadership in using geometric and topological methods in theoretical physics. This medal was presented by President Reagan in 1985. They have also been recognized as a Fellow of the American Mathematical Society in 2013, a Fellow of the American Academy of Arts and Sciences since 1959, and a member of the National Academy of Sciences since 1968.

In terms of fellowships, they are a two-time Fellow of the John Simon Guggenheim Memorial Foundation (1968 and 1975) and a Fellow of the Alfred P. Sloan Foundation since 1959.

Best Publications

  • Spectral asymmetry and Riemannian geometry. III

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

  • Self-duality in four-dimensional Riemannian geometry

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

  • R-Torsion and the Laplacian on Riemannian manifolds

    D.B. Ray;I.M. Singer

  • The Index of elliptic operators. 1

    M.F. Atiyah;I.M. Singer

  • Curvature and the Eigenvalues of the Laplacian

    H. P. McKean;I. M. Singer

  • Some remarks on the Gribov ambiguity

    I. M. Singer;I. M. Singer

  • The Index of elliptic operators. 3.

    Unknown

  • The index of elliptic operators on compact manifolds

    M. F. Atiyah;I. M. Singer

  • Analytic torsion for complex manifolds

    D.B. Ray;I.M. Singer

  • The Index of Elliptic Operators: IV

    M.F. Atiyah;I.M. Singer

  • Spectral Asymmetry and Riemannian Geometry

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

  • Chern-Simons perturbation theory. II

    Scott Axelrod;I. M. Singer

  • Quadratic functions in geometry, topology, and M-theory

    M.J. Hopkins;I.M. Singer

  • Dirac operators coupled to vector potentials

    M. F. Atiyah;I. M. Singer

  • Index theory for skew-adjoint fredholm operators

    Michael F. Atiyah;Isadore M. Singer

  • A THEOREM ON HOLONOMY

    W. Ambrose;I. M. Singer

  • Vertex Operators in Mathematics and Physics

    J. Lepowsky;S. Mandelstam;I. M. Singer

  • Lecture Notes on Elementary Topology and Geometry.

    Isadore Manuel Singer;John A Thorpe

  • The infinite groups of Lie and Cartan Part I, (The transitive groups)

    I. M. Singer;I. M. Singer;Shlomo Sternberg;Shlomo Sternberg

  • The Index of elliptic operators. 5.

    Unknown

  • EXTENSIONS OF PURE STATES.

    Richard V. Kadison;I. M. Singer

  • Derivations on commutative normed algebras

    I. M. Singer;J. Wermer

Frequent Co-Authors

Michael Atiyah
Michael Atiyah University of Edinburgh
Varghese Mathai
Varghese Mathai University of Adelaide
Richard V. Kadison
Richard V. Kadison University of Pennsylvania
Nigel Hitchin
Nigel Hitchin University of Oxford
Daniel S. Freed
Daniel S. Freed The University of Texas at Austin
David R. Morrison
David R. Morrison University of California, Santa Barbara

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