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D-Index & Metrics

Mathematics

D-Index
46
Citations
12859
World Ranking
1325
National Ranking
597

Nolan R. Wallach 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 Nolan R. Wallach 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: 193 publications — 59th percentile

59% of scientists in this discipline score the same or lower.

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

Nolan R. Wallach 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 Nolan R. Wallach 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 - Fellow of the American Academy of Arts and Sciences
  • 1971 - Fellow of Alfred P. Sloan Foundation

Overview

Nolan R. Wallach is affiliated with the University of California, San Diego in the United States and specializes primarily in the field of Mathematics. Their research spans multiple subfields, including Mathematical Physics, Geometry and Topology, Algebra and Number Theory, Discrete Mathematics and Combinatorics, and Theoretical Computer Science.

The main topics of Wallach's work include:

  • Advanced Algebra and Geometry
  • Algebraic structures and combinatorial models
  • Advanced Topics in Algebra
  • Advanced Combinatorial Mathematics
  • Geometric and Algebraic Topology
  • Algebraic Geometry and Number Theory
  • History and Theory of Mathematics

The most frequent venues where Wallach has published are:

  • arXiv (Cornell University)
  • Combinatorial Theory
  • Journal of Combinatorial Theory Series A
  • Representation Theory of the American Mathematical Society
  • International Journal of Mathematics

Several recent papers highlight aspects of their research, including:

  • Harmonic differential forms for pseudo-reflection groups II. Bi-degree bounds, 2023, Combinatorial Theory
  • Harmonic differential forms for pseudo-reflection groups I. Semi-invariants, 2021, Journal of Combinatorial Theory Series A
  • The dependence on parameters of the inverse functor to the -finite functor, 2022, Representation Theory of the American Mathematical Society
  • The dependence on parameters of the inverse functor to the $K$-finite functor, 2020, arXiv (Cornell University)
  • An evolution in six stages based on triality: A mathematical memoir, 2021, International Journal of Mathematics

Frequent coauthors collaborating with Wallach include:

  • Joshua P. Swanson
  • Lei Ni
  • Marino Romero

Their scholarly contributions have been recognized through several awards, including:

  • Fellow of the American Mathematical Society (2013)
  • Fellow of the American Academy of Arts and Sciences (2004)
  • Fellow of Alfred P. Sloan Foundation (1971)

Best Publications

  • Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups

    Armand Borel;Nolan R. Wallach

  • Representations and invariants of the classical groups

    Roe Goodman;Nolan R. Wallach

  • Symmetry, Representations, and Invariants

    Roe Goodman;Nolan R. Wallach

  • Real Reductive Groups II

    Nolan R Wallach

  • Harmonic analysis on homogeneous spaces

    Nolan R. Wallach

  • Global entanglement in multiparticle systems

    David A. Meyer;Nolan R. Wallach

  • Real reductive groups

    Nolan R. Wallach

  • A Classification of Unitary Highest Weight Modules

    Thomas Enright;Roger Howe;Nolan Wallach

  • Compact Homogeneous Riemannian Manifolds with Strictly Positive Curvature

    Nolan R. Wallach

  • An infinite family of distinct 7-manifolds admitting positively curved Riemannian structures

    Simon Aloff;Nolan R. Wallach

  • The analytic continuation of the discrete series. II

    Nolan R. Wallach

  • Lorentzian symmetric spaces

    Michel Cahen;Nolan Wallach

  • Minimal Immersions of Spheres into Spheres

    Manfredo P. Do Carmo;Nolan R. Wallach

  • Limit Formulas for Multiplicities in L 2 (Γ\G)

    David L. DeGeorge;Nolan R. Wallach

  • Asymptotic expansions of generalized matrix entries of representations of real reductive groups

    Nolan R. Wallach

  • All maximally entangled four-qubit states

    Gilad Gour;Nolan R. Wallach

  • On a classification of gradient shrinking solitons

    Lei Ni;Nolan R. Wallach

  • Projective unitary positive-energy representations of Diff (S1)

    Roe Goodman;Nolan R Wallach

  • Projective modules over graded Lie algebras. I

    Alvany Rocha-Caridi;Nolan R. Wallach

  • Composition series and intertwining operators for the spherical principal series. II

    Kenneth D. Johnson;Nolan R. Wallach

  • On quaternionic discrete series representations, and their continuations.

    N.R. Wallach;B.H. Gross

Frequent Co-Authors

Adriano M. Garsia
Adriano M. Garsia University of California, San Diego
Joseph A. Wolf
Joseph A. Wolf University of California, Berkeley
Edward Frenkel
Edward Frenkel University of California, Berkeley
Masaki Kashiwara
Masaki Kashiwara Kyoto University
Benedict H. Gross
Benedict H. Gross University of California, San Diego
Michael Cowling
Michael Cowling University of New South Wales
Ronald M. Evans
Ronald M. Evans Salk Institute for Biological Studies
Armand Borel
Armand Borel Institute for Advanced Study

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