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William Duke 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 William Duke 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+

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

William Duke 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 William Duke 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+

The last bar groups every scientist with 86 D-Index or more.

Research.com Recognitions

  • 2016 - Fellow of the American Mathematical Society For contributions to analytic number theory and the theory of automorphic forms.
  • 1990 - Fellow of Alfred P. Sloan Foundation

Overview

William Duke is affiliated with the University of California, Los Angeles in the United States. Their primary field of study is Mathematics, with a total of 48 publications in this area. Within mathematics, key subfields of focus include Algebra and Number Theory, Geometry and Topology, Mathematical Physics, Applied Mathematics, and Parasitology.

Their research spans several topics, notably:

  • Analytic Number Theory Research
  • Algebraic Geometry and Number Theory
  • Leptospirosis research and findings
  • Advanced Mathematical Identities
  • Mathematics and Applications
  • Advanced Algebra and Geometry
  • Viral Infections and Vectors

Among recent publications by William Duke are:

  • On a class number formula of Hurwitz, 2021, Journal of the European Mathematical Society
  • Modular invariants for real quadratic fields and Kloosterman sums, 2020, Algebra & Number Theory
  • Seroepidemiology of human leptospirosis in the Dominican Republic: A multistage cluster survey, 2021, PLoS neglected tropical diseases
  • Trust and COVID-19 vaccine hesitancy in the Dominican Republic: a national cross-sectional household survey, June-October 2021, 2024, BMJ Open
  • Seroepidemiology of human leptospirosis in the Dominican Republic: a multistage cluster survey, 2021, 2024, bioRxiv (Cold Spring Harbor Laboratory)

Frequent coauthors in William Duke's collaborative research include:

  • Eric J. Nilles
  • Michael de St. Aubin
  • Devan Dumas
  • Ronald Skewes-Ramm
  • Adam J. Kucharski

William Duke's work has been published in several venues, with multiple publications appearing in:

  • arXiv (Cornell University)
  • PLoS neglected tropical diseases
  • Acta Arithmetica
  • Algebra & Number Theory
  • BMJ Open

The scientist has received recognition in the form of awards including:

  • Fellow of the American Mathematical Society, 2016, For contributions to analytic number theory and the theory of automorphic forms
  • Fellow of Alfred P. Sloan Foundation, 1990

Best Publications

  • Bounds for automorphic L -functions

    W. Duke;J. Friedlander;H. Iwaniec

  • Density of integer points on affine homogeneous varieties

    W. Duke;Z. Rudnick;Z. Rudnick;Peter Clive Sarnak

  • Representation of integers by positive ternary quadratic forms and equidistribution of lattice points on ellipsoids.

    William Duke;Rainer Schulze-Pillot

  • The subconvexity problem for Artin L-functions

    W. Duke;J. B. Friedlander;Henryk Iwaniec

  • Equidistribution of roots of a quadratic congruence to prime moduli

    William Duke;John B. Friedlander;Henryk Iwaniec

  • On the Zeros and Coefficients of Certain Weakly Holomorphic Modular Forms

    W. Duke;Paul Jenkins

  • Cycle integrals of the j-function and mock modular forms

    William Duke;Özlem Imamoglu;Á. Tóth

  • A quadratic divisor problem.

    W. Duke;W. Duke;J. B. Friedlander;J. B. Friedlander;Henryk Iwaniec

  • A problem of Linnik for elliptic curves and mean-value estimates for automorphic representations

    W. Duke;E. Kowalski

  • Bounds for automorphic L-functions. II

    W. Duke;J. B. Friedlander;H. Iwaniec;H. Iwaniec

  • The distribution of the eigenvalues of Hecke operators

    J. B. Conrey;W. Duke;D. W. Farmer

  • Bounds for automorphicL-functions. II

    W. Duke;J. B. Friedlander;H. Iwaniec

  • The critical order of vanishing of automorphic L -functions with large level

    W. Duke

  • Continued fractions and modular functions

    W. Duke

  • Bilinear forms with Kloosterman fractions

    W. Duke;J. Friedlander;Henryk Iwaniec

  • Elliptic curves with no exceptional primes

    William Duke

  • Integral traces of singular values of weak Maass forms

    William Duke;Paul Jenkins

  • Bilinear forms in the Fourier coefficients of half-integral weight cusp forms and sums over primes

    W. Duke;Henryk Iwaniec

  • Weyl Sums for Quadratic Roots

    W. Duke;J. B. Friedlander;H. Iwaniec

  • The distribution of the eigenvalues of Hecke operators

    J. Brian Conrey;William Duke;David W. Farmer

Frequent Co-Authors

Henryk Iwaniec
Henryk Iwaniec Rutgers, The State University of New Jersey
John B. Friedlander
John B. Friedlander University of Toronto
Eric D'Hoker
Eric D'Hoker University of California, Los Angeles
Zeév Rudnick
Zeév Rudnick Tel Aviv University
Peter Sarnak
Peter Sarnak Princeton University

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