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Mathematics
USA
2026

D-Index & Metrics

Mathematics

D-Index
79
Citations
52191
World Ranking
155
National Ranking
93

David Mumford 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 David Mumford 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: 258 publications — 79th percentile

79% of scientists in this discipline score the same or lower.

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

David Mumford 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 David Mumford 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: 79 D-Index — 96th percentile

96% 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

  • 2026 - Research.com Mathematics in United States Leader Award
  • 2025 - Research.com Mathematics in United States Leader Award
  • 2013 - Fellow of the American Mathematical Society
  • 2009 - US President's National Medal of Science "For his contributions to the field of mathematics, which fundamentally changed algebraic geometry, and for connecting mathematics to other disciplines such as computer vision and neurobiology.", Presented by President Barack H. Obama in the East Room of the White House on November 17, 2010.
  • 2009 - SIAM Fellow For contributions to pattern theory and the understanding of vision.
  • 2008 - Wolf Prize in Mathematics for his work on algebraic surfaces; on geometric invariant theory; and for laying the foundations of the modern algebraic theory of moduli of curves and theta functions.
  • 2008 - Fellow of the Royal Society, United Kingdom
  • 2007 - Steele Prize for Mathematical Exposition
  • 1975 - Member of the National Academy of Sciences
  • 1974 - Fields Medal of International Mathematical Union (IMU) Contributed to problems of the existence and structure of varieties of moduli, varieties whose points parametrize isomorphism classes of some type of geometric object. Also made several important contributions to the theory of algebraic surfaces.
  • 1964 - Fellow of the American Academy of Arts and Sciences
  • 1962 - Fellow of Alfred P. Sloan Foundation

Overview

David Mumford is affiliated with Brown University in the United States and has contributed primarily to the field of mathematics. Their research spans several subfields including theoretical computer science, astronomy and astrophysics, and anthropology. The main areas of focus include the history and theory of mathematics, history and developments in astronomy, and historical and literary studies.

Mumford has published in notable venues such as the Notices of the American Mathematical Society and Proceedings - Mathematical Sciences. Recent papers include:

  • "Ruminations on Cosmology and Time," 2021, Notices of the American Mathematical Society
  • "C. S. Seshadri (1932-2020)," 2021, Notices of the American Mathematical Society
  • "Foreword," 2022, Proceedings - Mathematical Sciences
  • "A Tribute to Henry P. McKean Jr.," 2025, Notices of the American Mathematical Society

Their frequent coauthors include V. Balaji, William Haboush, V. Lakshmibai, Peter Littelmann, and Daniel Stroock.

In addition to journal articles, David Mumford has contributed to book publications. One such publication is "Numbers and the World," released by the Serbian Mathematical Society in 2023.

Throughout their career, Mumford has been recognized with several honors. These include:

  • Fellow of the American Mathematical Society (2013)
  • SIAM Fellow (2009) for contributions to pattern theory and understanding of vision
  • US President's National Medal of Science (2009), awarded for contributions to mathematics and interdisciplinary connections to computer vision and neurobiology
  • Fellow of the Royal Society, United Kingdom (2008)
  • Wolf Prize in Mathematics (2008) for work on algebraic surfaces, geometric invariant theory, and moduli theory
  • Steele Prize for Mathematical Exposition (2007)
  • Member of the National Academy of Sciences (1975)
  • Fields Medal of the International Mathematical Union (1974) for contributions to moduli varieties and algebraic surfaces
  • Fellow of the American Academy of Arts and Sciences (1964)
  • Fellow of Alfred P. Sloan Foundation (1962)

Best Publications

  • Optimal approximations by piecewise smooth functions and associated variational problems

    David Bryant Mumford;Jayant Shah

  • Geometric Invariant Theory

    David Mumford

  • Tata Lectures on Theta I

    David Mumford

  • The irreducibility of the space of curves of given genus

    Pierre Deligne;David Bryant Mumford

  • Hierarchical Bayesian inference in the visual cortex

    Tai Sing Lee;David Bryant Mumford

  • On the computational architecture of the neocortex

    D. Mumford

  • Toroidal Embeddings I

    G. Kempf;F. Knudsen;D. Mumford;B. Saint-Donat

  • Lectures on curves on an algebraic surface

    David Mumford;G. M. Bergman

  • Towards an Enumerative Geometry of the Moduli Space of Curves

    David Mumford

  • Filters, Random Fields and Maximum Entropy (FRAME): Towards a Unified Theory for Texture Modeling

    Song Chun Zhu;Yingnian Wu;David Mumford

  • The topology of normal singularities of an algebraic surface and a criterion for simplicity

    David Bryant Mumford

  • On the Kodaira Dimension of the Moduli Space of Curves

    Joe Harris;David Bryant Mumford

  • Smooth Compactifications of Locally Symmetric Varieties

    Avner Ash;David Mumford;Michael Rapoport;Yung-sheng Tai

  • The Red Book of Varieties and Schemes

    David Mumford

  • Statistics of natural images and models

    Jinggang Huang;D. Mumford

  • Algebraic Geometry I: Complex Projective Varieties

    David Mumford

  • The projectivity of the moduli space of stable curves. I: Preliminaries on "det" and "Div".

    Finn Knudsen;David Mumford

  • Stability of projective varieties

    David Mumford

  • A Stochastic Grammar of Images

    Song-Chun Zhu;David Mumford

  • Elastica and Computer Vision

    David Mumford

Frequent Co-Authors

Peter W. Michor
Peter W. Michor University of Vienna
Song-Chun Zhu
Song-Chun Zhu Peking University
Michael Rapoport
Michael Rapoport University of Bonn
Alan L. Yuille
Alan L. Yuille Johns Hopkins University
John Tate
John Tate Harvard University
Stephen M. Kosslyn
Stephen M. Kosslyn Harvard University
Ying Nian Wu
Ying Nian Wu University of California, Los Angeles
Oscar Zariski
Oscar Zariski Harvard University
Richard J. Herrnstein
Richard J. Herrnstein Harvard University

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