2026 Daniel Bump: Mathematics Researcher – H-Index, Publications & Awards

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

836
Citations
Nonvanishing theorems for L-functions of modular forms and their derivatives.

Daniel Bump;Solomon Friedberg;Jeffrey Hoffstein

249
Citations
Symmetric square L-functions on GL(r)

Daniel Bump;David Ginzburg

185
Citations
An introduction to the Langlands program

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

149
Citations
On the Averages of Characteristic Polynomials From Classical Groups

Daniel Bump;Alex Gamburd;Alex Gamburd

134
Citations
Crystal Bases: Representations And Combinatorics

Daniel Bump;Anne Schilling

129
Citations
Schur Polynomials and The Yang-Baxter Equation

Benjamin Brock Brubaker;Daniel Bump;Solomon Friedberg

119
Citations
Weyl group multiple Dirichlet series, Eisenstein series and crystal bases

Ben Brubaker;Daniel Bump;Solomon Friedberg

100
Citations
Weyl Group Multiple Dirichlet Series I

Benjamin Brubaker;Daniel Bump;Gautam Chinta;Solomon Friedberg

98
Citations
Eisenstein series on the metaplectic group and nonvanishing theorems for automorphic L-functions and their derivatives

Daniel Bump;Solomon Friedberg;Jeffrey Hoffstein

90
Citations
Weyl Group Multiple Dirichlet Series: Type A Combinatorial Theory

Ben Brubaker;Daniel Bump;Solomon Friedberg

87
Citations
Poincaré series and Kloosterman sums for SL(3, Z)

Daniel Bump;Solomon Friedberg;Dorian Goldfeld

86
Citations
Toeplitz minors

Daniel Bump;Persi Diaconis

85
Citations
On some applications of automorphic forms to number theory

Daniel Bump;Solomon Friedberg;Jeffrey Hoffstein

76
Citations
Generalized Frobenius–Schur numbers

Daniel Bump;David Ginzburg

75
Citations
Weyl Group Multiple Dirichlet Series III: Eisenstein Series and Twisted Unstable Ar

Benjamin Brubaker;Daniel Bump;Solomon Friedberg;Jeffrey Hoffstein

74
Citations
An estimate for the hecke eigenvalues of maass forms

Daniel Bump;Jeffrey Hoffstein;Henryk Iwaniec

67
Citations
Weyl group multiple Dirichlet series II: The stable case

Ben Brubaker;Daniel Bump;Solomon Friedberg

60
Citations
$p$-adic Whittaker functions on the metaplectic group

Daniel Bump;Solomon Friedberg;Jeffrey Hoffstein

59
Citations
Encyclopaedia of Mathematics, Supplement III

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

59
Citations

Frequent Co-Authors

Persi Diaconis Stanford University

Harold Widom University of California, Santa Cruz

Henryk Iwaniec Rutgers, The State University of New Jersey

Joseph B. Keller Stanford University

Stephen S. Kudla University of Toronto

External Links

Personal website of Daniel Bump

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