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Daniel Bump 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 Daniel Bump 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.

Daniel Bump 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 Daniel Bump 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

  • 2015 - Fellow of the American Mathematical Society For contributions to number theory, representation theory, combinatorics, and random matrix theory, as well as mathematical exposition.

Overview

Daniel Bump is affiliated with Stanford University in the United States and focuses on research in mathematics. Their scholarly work spans several interconnected fields and subfields, contributing to a range of mathematical disciplines.

The main fields of study for Daniel Bump include:

  • Mathematics

The subfields of study encompass:

  • Mathematical Physics
  • Geometry and Topology
  • Algebra and Number Theory
  • Statistics and Probability
  • Statistical and Nonlinear Physics

The topics covered by their research include:

  • Algebraic structures and combinatorial models
  • Advanced Algebra and Geometry
  • Random Matrices and Applications
  • Advanced Topics in Algebra
  • Spectral Theory in Mathematical Physics
  • Advanced Combinatorial Mathematics
  • Nonlinear Waves and Solitons

The recent papers authored or co-authored by Daniel Bump demonstrate a focus on algebraic and combinatorial models as well as connections to physics and number theory:

  • Colored five-vertex models and Demazure atoms, 2020, Journal of Combinatorial Theory Series A
  • Vertex Operators, Solvable Lattice Models and Metaplectic Whittaker Functions, 2020, Communications in Mathematical Physics
  • Metaplectic Iwahori Whittaker functions and supersymmetric lattice models, 2020, arXiv (Cornell University)
  • Colored vertex models and Iwahori Whittaker functions, 2024, Selecta Mathematica
  • Colored Bosonic models and matrix coefficients, 2024, Communications in Number Theory and Physics

Frequent co-authors collaborating with Daniel Bump include:

  • Ben Brubaker
  • Valentin Buciumas
  • Henrik P. A. Gustafsson
  • Andrew Hardt
  • Slava Naprienko

The majority of Daniel Bump's publications have appeared in:

  • arXiv (Cornell University)
  • Journal of Combinatorial Theory Series A
  • Communications in Mathematical Physics
  • Selecta Mathematica
  • Communications in Number Theory and Physics

Daniel Bump was recognized as a Fellow of the American Mathematical Society in 2015 for contributions to number theory, representation theory, combinatorics, random matrix theory, and mathematical exposition.

Best Publications

  • Automorphic Forms and Representations

    Daniel Bump

  • Nonvanishing theorems for L-functions of modular forms and their derivatives.

    Daniel Bump;Solomon Friedberg;Jeffrey Hoffstein

  • Symmetric square L-functions on GL(r)

    Daniel Bump;David Ginzburg

  • An introduction to the Langlands program

    Joseph Bernstein;Stephen S. Gelbart;Daniel Bump;James W. Cogdell

  • On the Averages of Characteristic Polynomials From Classical Groups

    Daniel Bump;Alex Gamburd;Alex Gamburd

  • Crystal Bases: Representations And Combinatorics

    Daniel Bump;Anne Schilling

  • Schur Polynomials and The Yang-Baxter Equation

    Benjamin Brock Brubaker;Daniel Bump;Solomon Friedberg

  • Weyl group multiple Dirichlet series, Eisenstein series and crystal bases

    Ben Brubaker;Daniel Bump;Solomon Friedberg

  • Weyl Group Multiple Dirichlet Series I

    Benjamin Brubaker;Daniel Bump;Gautam Chinta;Solomon Friedberg

  • Eisenstein series on the metaplectic group and nonvanishing theorems for automorphic L-functions and their derivatives

    Daniel Bump;Solomon Friedberg;Jeffrey Hoffstein

  • Weyl Group Multiple Dirichlet Series: Type A Combinatorial Theory

    Ben Brubaker;Daniel Bump;Solomon Friedberg

  • Poincaré series and Kloosterman sums for SL(3, Z)

    Daniel Bump;Solomon Friedberg;Dorian Goldfeld

  • Toeplitz minors

    Daniel Bump;Persi Diaconis

  • On some applications of automorphic forms to number theory

    Daniel Bump;Solomon Friedberg;Jeffrey Hoffstein

  • Generalized Frobenius–Schur numbers

    Daniel Bump;David Ginzburg

  • Weyl Group Multiple Dirichlet Series III: Eisenstein Series and Twisted Unstable Ar

    Benjamin Brubaker;Daniel Bump;Solomon Friedberg;Jeffrey Hoffstein

  • An estimate for the hecke eigenvalues of maass forms

    Daniel Bump;Jeffrey Hoffstein;Henryk Iwaniec

  • Weyl group multiple Dirichlet series II: The stable case

    Ben Brubaker;Daniel Bump;Solomon Friedberg

  • $p$-adic Whittaker functions on the metaplectic group

    Daniel Bump;Solomon Friedberg;Jeffrey Hoffstein

  • Encyclopaedia of Mathematics, Supplement III

    S. S. Abhyankar;V. Abramov;A. Adem;L. Aizenberg

Frequent Co-Authors

Persi Diaconis
Persi Diaconis Stanford University
Harold Widom
Harold Widom University of California, Santa Cruz
Henryk Iwaniec
Henryk Iwaniec Rutgers, The State University of New Jersey
Joseph B. Keller
Joseph B. Keller Stanford University
Stephen S. Kudla
Stephen S. Kudla University of Toronto

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