William Duke | Academic Influence

William Duke 's AcademicInfluence.com Rankings

William Duke

Mathematics

#4084

World Rank

#5879

Historical Rank

#1447

USA Rank

Group Theory

#224

World Rank

#264

Historical Rank

#46

USA Rank

Algebra

#314

World Rank

#440

Historical Rank

#64

USA Rank

Measure Theory

#3196

World Rank

#3783

Historical Rank

#924

USA Rank

mathematics Degrees

Download Badge

Mathematics

William Duke 's Degrees

Masters Mathematics Stanford University
Bachelors Mathematics Princeton University

Similar Degrees You Can Earn

Best Online Bachelor's in Math 2025

Why Is William Duke Influential?

(Suggest an Edit or Addition)

According to Wikipedia, William Drexel Duke is an American mathematician specializing in number theory. Duke studied at the University of New Mexico and then at New York University , from which he received his Ph.D. in 1986 under the direction of Peter Sarnak. After a postdoctoral stint at the University of California, San Diego he joined the faculty of Rutgers University, where he stayed until becoming a Professor of Mathematics at the University of California, Los Angeles. Since 2015, he has been Chair of the mathematics department at UCLA.

(See a Problem?)

William Duke '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

Hyperbolic distribution problems and half-integral weight Maass forms (1988) (387)
Density of integer points on affine homogeneous varieties (1993) (296)
The subconvexity problem for Artin L–functions (2002) (173)
Representation of integers by positive ternary quadratic forms and equidistribution of lattice points on ellipsoids (1990) (170)
Bounds for automorphic L-functions (2005) (156)
A problem of Linnik for elliptic curves and mean-value estimates for automorphic representations (2000) (128)
Cycle integrals of the j-function and mock modular forms (2011) (126)
On the Zeros and Coefficients of Certain Weakly Holomorphic Modular Forms (2008) (115)
Equidistribution of roots of a quadratic congruence to prime moduli (1995) (112)
A quadratic divisor problem (1994) (99)
The critical order of vanishing of automorphicL-functions with large level (1995) (90)
Bounds for automorphicL-functions (1993) (83)
Bilinear forms with Kloosterman fractions (1997) (74)
The distribution of the eigenvalues of Hecke operators (1996) (73)
Elliptic curves with no exceptional primes (1997) (72)
Bounds for automorphic L–functions. III (2001) (70)
On codes and Siegel modular forms (1993) (67)
Integral traces of singular values of weak Maass forms (2008) (59)
Modular functions and the uniform distribution of CM points (2006) (54)
Bounds for automorphicL-functions. II (1993) (52)
A converse theorem and the Saito-Kurokawa lift (1996) (47)
Erratum to: Bounds for automorphic L–functions. II (2000) (45)
Bilinear forms in the Fourier coefficients of half-integral weight cusp forms and sums over primes (1990) (43)
The Dimension of the Space of Cusp Forms of Weight One (1994) (43)
Continued fractions and modular functions (2005) (38)
The Splitting of Primes in Division Fields of Elliptic Curves (2001) (37)
Class group $L$-functions (1995) (36)
Some old problems and new results about quadratic forms (1997) (35)
Rational period functions and cycle integrals (2010) (35)
Siegel modular forms of small weight (1998) (35)
Estimates for coefficients of L -functions. III (1994) (35)
Fourier series of modular graph functions (2017) (32)
Weyl Sums for Quadratic Roots (2011) (31)
On ternary quadratic forms (2005) (28)
Extreme Values of Artin L-Functions and Class Numbers (2003) (28)
Convolution $L$-series (1994) (27)
When is the product of two Hecke eigenforms an eigenform (1999) (26)
Almost all reductions modulo p of an elliptic curve have a large exponent (2003) (25)
Estimating Hecke eigenvalues of Siegel modular forms (1992) (23)
Some problems in multidimensional analytic number theory (1989) (23)
Harmonic Maass forms of weight $1$ (2015) (22)
Quadratic Reciprocity in a Finite Group (2003) (22)
Bounds for arithmetic multiplicities. (1998) (22)
Real Quadratic Analogs of Traces of Singular Moduli (2010) (22)
Kronecker’s first limit formula, revisited (2018) (21)
Regularized inner products of modular functions (2016) (20)
Rational Points on the Sphere (2003) (20)
Geometric invariants for real quadratic fields (2016) (20)
The Graphic Nature of Gaussian Periods (2012) (19)
Number fields with large class groups (2003) (18)
Reductions of an elliptic curve and their Tate-Shafarevich groups (2004) (18)
Sieve Methods, Exponential Sums, and their Applications in Number Theory: Representations by the Determinant and Mean Values of L -Functions (1997) (18)
Almost a Century of Answering the Question: What Is a Mock Theta Function? (2014) (17)
The zeros of the Weierstrass $$\wp$$–function and hypergeometric series (2008) (16)
Modular cocycles and linking numbers (2017) (15)
Analytic number theory : a tribute to Gauss and Dirichlet (2007) (13)
AN INTRODUCTION TO THE LINNIK PROBLEMS (2007) (12)
INFINITE PRODUCTS OF CYCLOTOMIC POLYNOMIALS (2015) (11)
Modular invariants for real quadratic fields and Kloosterman sums (2018) (11)
A combinatorial problem related to Mahler's measure (2007) (10)
Some entries in Ramanujan's notebooks (2008) (10)
Lattice points in cones and Dirichlet series (2004) (8)
Special values of multiple gamma functions (2006) (7)
On a theorem of Davenport and Schmidt (2019) (7)
On multiple Salié sums (1992) (6)
On a formula of Bloch (2007) (6)
Fourth moments of L‐functions attached to newforms (1988) (5)
The Figure Eight. (2004) (5)
LINKING NUMBERS AND MODULAR COCYCLES (2015) (4)
Properties of a Quadratic Fibonacci Recurrence (1998) (4)
Notes for a course given at the Second EU/US Summer School on Automorphic Forms on SINGULAR MODULI AND MODULAR FORMS (2014) (2)
Markov spectra for modular billiards (2018) (2)
On a Formula of (2002) (2)
On Elliptic Curves and Binary Quartic Forms (2021) (2)
Modular units (2006) (2)
Problems: 10487-10493 (1995) (2)
On a class number formula of Hurwitz (2021) (1)
Mathematical Proceedings of the Cambridge Philosophical Society (2008) (1)
Riesz means of certain arithmetic functions (2020) (1)
Jeremiah 1:4–18 (2005) (1)
Ain't she a beauty (2004) (0)
A strong lion (2008) (0)
Life of Joseph Jefferson. Life of Joe Jefferson (2004) (0)
Keep the pot a boilin (2004) (0)
Missus, lemme clean it for a quarter? (2004) (0)
A Nonnegativity Restriction: 10492 (1998) (0)
Book Review: Character sums with exponential functions and their applications (2002) (0)
Life of Charles Stewart Parnell.Life of Chas. S. Parnell (2004) (0)
Our friend Jack (2004) (0)
Kronecker’s first limit formula, revisited (2018) (0)
A striking goat (2004) (0)
Watch him kick it (2004) (0)
Life of Levi P. Morton. Levi P. Morton (2004) (0)
The Minkowski chain and Diophantine approximation (2019) (0)
He couldn't help it (2004) (0)
ARITHMETIC PROPERTIES OF HARMONIC MODULAR FORMS OF WEIGHT ONE (Automorphic forms and automorphic L-functions) (2013) (0)
Tug of WarPull now boys, altogether. (2004) (0)
Erratum Bounds for automorphicL–functions. II (0)
The Boss Fighter.I knocked the stuffin' out of Billy anyhow (2004) (0)
Say yous fellows, come take a Turkish bath (2004) (0)
Kite Time. Great Scott!But she's a pullin!! (2004) (0)
A Diophantine problem about Kummer surfaces (2022) (0)
Life of John Greenleaf Whittier. Life of John G. Whittier (2004) (0)
Swimming.Cheese it, the cop, fellars (2004) (0)
A great big bite (2004) (0)
Life of Leland Stanford. Life of Senator Stanford (2004) (0)
Regularized inner products of modular functions (2014) (0)
ON THE ANALYTIC THEORY OF ISOTROPIC TERNARY QUADRATIC FORMS (2022) (0)
The pitcher.Just watch me twist it. (2004) (0)
NON-CONVEX GEOMETRY OF NUMBERS AND (2022) (0)
A young deer (2004) (0)
Get onto me spread de eagle (2004) (0)
One of the boys (2004) (0)
BEFORE ELECTION.This'll make her blaze. (2004) (0)
The index of a modular differential operator (2021) (0)
SNOWBALLING.Just look at that hat. (2004) (0)
Oh! If I catch that rabbitt (2004) (0)
Non-convex geometry of numbers and continued fractions (2021) (0)
Life of P.T. Barnum. P.T. Barnum (2004) (0)
Properties of a ouadratic fibonacci recurrence (1998) (0)
Erratum to “Corrections to: Weyl Sums for Quadratic Roots” (2012) (0)
Automorphic -functions in level aspect (1999) (0)
ARITHMETIC PROPERTIES OF HARMONIC MODULAR FORMS OF WEIGHT ONE (保型形式と保型的L函数の研究 : RIMS研究集会報告集) (2013) (0)
Asymptotic distribution of traces of singular moduli. (2020) (0)
Markov spectra for modular billiards (2018) (0)
Some arithmetic applications of invariant theory (2022) (0)
Get onto the dude. (2004) (0)
Say, stop de game. me galluses is gone wrong! (2004) (0)
I save yer the core.I'll save you the core. (2004) (0)
Life of Ezra Cornell.Ezra Cornell (2004) (0)

This paper list is powered by the following services:

Other Resources About William Duke

en.wikipedia.org

What Schools Are Affiliated With William Duke ?

William Duke is affiliated with the following schools: