Daniel Bump

Q: What Schools Are Affiliated With Daniel Bump

Daniel Bump is affiliated with the following schools: University of California, Berkeley, Reed College, Stanford University, University of Chicago

Daniel Bump's AcademicInfluence.com Rankings

Daniel Bump

Mathematics

#867

World Rank

#1534

Historical Rank

#381

USA Rank

Measure Theory

#1751

World Rank

#2151

Historical Rank

#561

USA Rank

mathematics Degrees

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Mathematics

Daniel Bump's Degrees

PhD Mathematics University of Chicago

Why Is Daniel Bump Influential?

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According to Wikipedia, Daniel Willis Bump is a mathematician who is a professor at Stanford University. He is a fellow of the American Mathematical Society since 2015, for "contributions to number theory, representation theory, combinatorics, and random matrix theory, as well as mathematical exposition".

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Daniel Bump's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Automorphic Forms and Representations (1998) (853)
Nonvanishing theorems for L-functions of modular forms and their derivatives (1990) (164)
The Rankin–Selberg Method: A Survey (1989) (136)
An introduction to the Langlands program (2004) (133)
Symmetric square L-functions on GL(r) (1992) (127)
Schur Polynomials and The Yang-Baxter Equation (2009) (108)
Automorphic forms on GL (3, IR) (1984) (107)
Weyl Group Multiple Dirichlet Series I (2006) (99)
Automorphic forms on GL(2) (1984) (93)
Crystal Bases: Representations And Combinatorics (2017) (89)
Weyl group multiple Dirichlet series, Eisenstein series and crystal bases (2011) (88)
On the Averages of Characteristic Polynomials From Classical Groups (2005) (86)
Weyl Group Multiple Dirichlet Series: Type A Combinatorial Theory (2011) (76)
A local Riemann hypothesis, I (2000) (74)
Eisenstein series on the metaplectic group and nonvanishing theorems for automorphic L-functions and their derivatives (1990) (70)
Poincaré series and Kloosterman sums for SL(3, Z) (1988) (66)
On some applications of automorphic forms to number theory (1996) (63)
Encyclopaedia of Mathematics, Supplement III (2002) (59)
Weyl Group Multiple Dirichlet Series III: Eisenstein Series and Twisted Unstable Ar (2007) (58)
Toeplitz Minors (2002) (58)
Weyl group multiple Dirichlet series II: The stable case (2006) (53)
An estimate for the hecke eigenvalues of maass forms (1992) (48)
A Yang–Baxter equation for metaplectic ice (2016) (48)
The Rankin-Selberg method: an introduction and survey (2005) (47)
Whittaker functions and Demazure operators (2011) (47)
Multiple Dirichlet series, L-functions and automorphic forms (2012) (46)
Generalized Frobenius–Schur numbers (2004) (45)
Factorial Schur functions and the Yang-Baxter equation (2011) (43)
Explicit formulas for the waldspurger and bessel models (1994) (41)
$p$-adic Whittaker functions on the metaplectic group (1991) (37)
Metaplectic Whittaker Functions and Crystals of Type B (2012) (33)
Barnes' Second Lemma and its Application to Rankin-Selberg Convolutions (1988) (32)
On Kubota's Dirichlet series (2006) (31)
Symmetric square $\mathrm{L}$-functions on $\mathrm{GL}(r)$ (1992) (30)
Small representations for odd orthogonal groups (2003) (30)
Metaplectic Ice (2010) (29)
On Shimura’s correspondence (1987) (29)
Spin L -functions on symplectic groups (1992) (29)
A nonvanishing theorem for derivatives of automorphic $L$-functions with applications to elliptic curves (1989) (26)
Colored five-vertex models and Demazure atoms (2019) (25)
Colored Vertex Models and Iwahori Whittaker Functions (2019) (25)
SUMS OF TWISTED GL ( 3 ) AUTOMORPHIC L-FUNCTIONS (2003) (24)
Twisted Weyl Group Multiple Dirichlet Series: The Stable Case (2008) (23)
Integration on p-adic groups and crystal bases (2009) (23)
Non-unique models in the Rankin-Selberg method. (1995) (22)
Lifting automorphic representations on the double covers of orthogonal groups (2006) (21)
Hecke modules from metaplectic ice (2017) (21)
Cubic metaplectic forms onGL (3) (1986) (18)
The Root System (2013) (18)
Introduction: Multiple Dirichlet Series (2012) (18)
Whittaker-Orthogonal models, functoriality, and the Rankin-Selberg method (1992) (17)
Vertex Operators, Solvable Lattice Models and Metaplectic Whittaker Functions (2018) (17)
Gauss Sum Combinatorics and Metaplectic Eisenstein Series (2007) (16)
Rankin-Selberg integrals in two complex variables (1999) (16)
Unramified Whittaker functions for GL(3,ℝ) (1995) (16)
Some conjectured relationships between theta functions and eisenstein series on the metaplectic group (1989) (15)
Casselman’s Basis of Iwahori Vectors and the Bruhat Order (2010) (15)
On Mellin transforms of unramified Whittaker functions on GL(3, C)☆ (1989) (14)
Some Euler products associated with cubic metaplectic forms on $\mathrm {GL}(3)$ (1986) (14)
The symmetric cube (1996) (14)
Unitary Correlations and the Fejér Kernel (2001) (14)
On Riemann's zeta function (1986) (14)
A summation formula for divisor functions associated to lattices (2006) (14)
An Exercise (?) in Fourier Analysis on the Heisenberg Group (2015) (14)
Whittaker–Fourier Coefficients of Metaplectic Eisenstein Series (2003) (13)
Matrix Coefficients and Iwahori-Hecke Algebra Modules (2015) (13)
Eisenstein Series, Crystals, and Ice (2011) (12)
The adjoint L-function of GL(4) (1998) (12)
Moments of the Riemann zeta function and Eisenstein series—II (2004) (11)
Derivatives of Modular Forms of Negative Weight (2006) (10)
Casselman’s Basis of Iwahori Vectors and Kazhdan–Lusztig Polynomials (2017) (10)
Unique functionals and representations of Hecke algebras (2012) (9)
Metaplectic Iwahori Whittaker functions and supersymmetric lattice models (2020) (9)
Duality for metaplectic ice (2017) (8)
A crystal definition for symplectic multiple Dirichlet series (2010) (7)
The Bruhat Decomposition (2013) (7)
Weyl Group Multiple Dirichlet Series IV: The Stable Twisted Case (2006) (6)
On the dimension of the space of theta functions (2002) (5)
The Weyl Character Formula (2013) (5)
Useful Bounds on the Extreme Eigenvalues and Vectors of Matrices for Harper’s Operators (2015) (5)
Spectral Theory and the Trace Formula (2004) (5)
The Kubota symbol for Sp(4, Q(i)) (1990) (4)
Schubert Eisenstein Series (2014) (4)
The Peter–Weyl Theorem (2013) (4)
Voronoi summation formula for Gaussian integers (2021) (3)
Multiple Dirichlet Series (2018) (3)
Cohomology of Grassmannians (2013) (3)
Automorphic Forms and Representations: Automorphic Representations (1997) (3)
Uniqueness of Whittaker functionals on the metaplectic group (1994) (3)
Renormalized Periods on GL(3) (2003) (2)
The Universal Cover (2013) (2)
An L-Function of Degree 27 for Spin9 (2003) (2)
Iwahori-metaplectic duality (2021) (2)
Metaplectic Eisenstein Series on GL(3) (2006) (2)
Left-Invariant Vector Fields (2013) (2)
Weyl Group Multiple Dirichlet Series and Gelfand-Tsetlin Patterns (2007) (2)
Colored Bosonic Models and Matrix Coefficients (2022) (1)
Coefficients of the n-Fold Theta Function and Weyl Group Multiple Dirichlet Series (2012) (1)
The Iwasawa Decomposition (2004) (1)
On the cubic Shimura lift for PGL3 (2001) (1)
Characters of GL( n , ℂ) (2004) (1)
Matrix coefficients of intertwining operators and the Bruhat order (2021) (1)
The Weyl Integration Formula (2013) (1)
Spin -functions on ₈ and ₁₀ (1999) (1)
The Zeta Function of a Curve (1998) (0)
Index to Volume 136 2014 (2014) (0)
The ★-Involution of B∞ (2017) (0)
Crystals of Tableaux (2017) (0)
Unitary Branching Rules and Tableaux (2013) (0)
Semisimple Compact Groups (2004) (0)
Duality Between Sk and $$\mathrm{GL}(n, \mathbb{C})$$ (2013) (0)
Chapter Five. Tokuyama’s Theorem (2011) (0)
Highest Weight Vectors (2013) (0)
Chapter Ten. Noncritical Resonances (2011) (0)
Chapter Eleven. Types (2011) (0)
Chapter Sixteen. Concurrence (2011) (0)
Geodesics and Maximal Tori (2013) (0)
Minors of Toeplitz Matrices (2013) (0)
The Mellin transforms of the Whittaker functions (1984) (0)
Automorphic Forms and Representations of GL(2, ℝ) (1997) (0)
Relative Root Systems (2013) (0)
Hecke operators and L-series (1984) (0)
Chapter Seventeen. Conclusion of the Proof (2011) (0)
Analytic Number Theory and its Applications: A Conference in Honor of Jeff Hoffstein (2014) (0)
Lie Subgroups of \mathrm{GL}(n, \mathbb{C}) (2013) (0)
Spectral Theory and the Trace Formula (expanded Text) (0)
Abstract Weyl Groups (2013) (0)
The Borel Subgroup (2013) (0)
REPORT ON BIRS WORKSHOP 10W5096 “WHITTAKER FUNCTIONS, CRYSTAL BASES, AND QUANTUM GROUPS” (2010) (0)
Examples of Root Systems (2013) (0)
The differential equations satisfied by Whittaker functions (1984) (0)
Six Vertex Model and Gelfand-Tsetlin Patterns (2010) (0)
Chapter Fifteen. Evaluation of ΛΓ and ΛΔ, and Statement G (2011) (0)
Representations of sl(2, ℂ) (2004) (0)
Fourier expansions of automorphic forms (1984) (0)
The Jacobi-Trudi Identity (2013) (0)
Tensors and Universal Properties (2013) (0)
The Fundamental Group (2013) (0)
MODULAR REPRESENTATION THEORY LECTURES BY DAN BUMP NOTES BY TONY FENG (2015) (0)
Chapter Twelve. Knowability (2011) (0)
Extension of Scalars (2013) (0)
Embeddings of Lie Groups (2013) (0)
Eisenstein Series , Crystals , and Ice Citation (0)
Random Matrix Theory (2013) (0)
Weyl Group Multiple Dirichlet Series: Some Open Problems (2006) (0)
Ramanujan sums on GL(3) (1984) (0)
Automorphic Forms and Representations: Representations of GL (2) Over a p -adic Field (1997) (0)
Schubert Eisenstein Series for $GL(3)$ (Analytic Number Theory : Number Theory through Approximation and Asymptotics) (2014) (0)
The Philosophy of Cusp Forms (2013) (0)
Chapter Eighteen. Statement B and Crystal Graphs (2011) (0)
Metaplectic Forms and Representations (2018) (0)
The Involution Model for S k (2013) (0)
Series Mathematics and Statistics 2010 METAPLECTIC ICE B (2018) (0)
Unitary Branching Rules (2004) (0)
The Cauchy Identity (2013) (0)
The Universal Enveloping Algebra (2013) (0)
Hecke modules from metaplectic ice (2017) (0)
Chapter Twenty. Crystals and p-adic Integration (2011) (0)
Chapter Nine. Snakes (2011) (0)
Chapter Two. Crystals and Gelfand-Tsetlin Patterns (2011) (0)
Chapter Nineteen. Statement B and the Yang-Baxter Equation (2011) (0)
The Local Frobenius Theorem (2013) (0)
Chapter Thirteen. The Reduction to Statement D (2011) (0)
Branching Formulae and Tableaux (2004) (0)
Representations of $\mathfrak{s}\mathfrak{l}(2, \mathbb{C})$ (2013) (0)
Chapter Three. Duality (2011) (0)
Supercuspidal representations and Poincaré series over function fields (1993) (0)
Whittaker functions and quantum groups (2013) (0)
Small Representations for Odd Orthogonal Groupsby (0)
Schur Polynomials and GL(n, ℂ) (2004) (0)
Topological Proof of Cartan’s Theorem (2004) (0)
Chapter Eight. Cartoons (2011) (0)
Chapter Six. Outline of the Proof (2011) (0)
Characters of \mathrm{GL}(n, \mathbb{C}) (2013) (0)
Schur Polynomials and $\mathrm{GL}(n, \mathbb{C})$ (2013) (0)
Chapter One. Type A Weyl Group Multiple Dirichlet Series (2011) (0)
Duality between Sk and GL(n, ℂ) (2004) (0)
MATRIX COEFFICIENTS AND IWAHORI-HECKE (2016) (0)
Schubert Eisenstein Series Daniel Bump and YoungJu Choie (2013) (0)
Metaplectic Forms and Representations Daniel Bump (2018) (0)
Jacquet's Whittaker functions (1984) (0)
On the Dimension of the Jacquet Module of a Certain Induced Representation (2019) (0)
Symmetric Group Branching Rules and Tableaux (2013) (0)
Automorphic Forms and Representations: Modular Forms (1997) (0)
Lie Subgroups of GL(n, ℂ) (2004) (0)
Chapter Four. Whittaker Functions (2011) (0)
The analytic continuation and functional equations satisfied by the L-series associated with an automorphic form (1984) (0)
The Exponential Map (2013) (0)
Chapter Seven. Statement B Implies Statement A (2011) (0)
Schur Polynomials and S k (2013) (0)
Chapter Fourteen. Statement E Implies Statement D (2011) (0)
Some Symmetric Algebras (2013) (0)
Complete Nonsingular Curves (1998) (0)
Crystals of Tableaux II (2017) (0)
Elliptic Curves and Abelian Varieties (1998) (0)
Differentials and Residues (1998) (0)
The B∞ Crystal (2017) (0)
Invariants of G∞\G (1984) (0)
The Plactic Monoid (2017) (0)
Crystals and Tropical Geometry (2017) (0)
Affine Algebraic Sets and Varieties (1998) (0)
Virtual, Fundamental, and Normal Crystals (2017) (0)
The Extension Theorem (1998) (0)
The Riemann-Roch Theorem (1998) (0)
Patterns and the Weyl Group Action (2017) (0)
Voronoi summation formula for Gaussian integers (2021) (0)
Advice to the Reader (1997) (0)
Bicrystals and the Littlewood–Richardson Rule (2017) (0)
Dimension and Products (1998) (0)
Properties of Affine Varieties (1998) (0)
Maps of Affine Varieties (1998) (0)
Crystals for Stanley Symmetric Functions (2017) (0)

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What Schools Are Affiliated With Daniel Bump?

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