2026 William Duke: Mathematics Researcher – H-Index, Publications & Awards

Research.com Recognitions

2016 - Fellow of the American Mathematical Society For contributions to analytic number theory and the theory of automorphic forms.
1990 - Fellow of Alfred P. Sloan Foundation

Overview

William Duke is affiliated with the University of California, Los Angeles in the United States. Their primary field of study is Mathematics, with a total of 48 publications in this area. Within mathematics, key subfields of focus include Algebra and Number Theory, Geometry and Topology, Mathematical Physics, Applied Mathematics, and Parasitology.

Their research spans several topics, notably:

Analytic Number Theory Research
Algebraic Geometry and Number Theory
Leptospirosis research and findings
Advanced Mathematical Identities
Mathematics and Applications
Advanced Algebra and Geometry
Viral Infections and Vectors

Among recent publications by William Duke are:

On a class number formula of Hurwitz, 2021, Journal of the European Mathematical Society
Modular invariants for real quadratic fields and Kloosterman sums, 2020, Algebra & Number Theory
Seroepidemiology of human leptospirosis in the Dominican Republic: A multistage cluster survey, 2021, PLoS neglected tropical diseases
Trust and COVID-19 vaccine hesitancy in the Dominican Republic: a national cross-sectional household survey, June-October 2021, 2024, BMJ Open
Seroepidemiology of human leptospirosis in the Dominican Republic: a multistage cluster survey, 2021, 2024, bioRxiv (Cold Spring Harbor Laboratory)

Frequent coauthors in William Duke's collaborative research include:

Eric J. Nilles
Michael de St. Aubin
Devan Dumas
Ronald Skewes-Ramm
Adam J. Kucharski

William Duke's work has been published in several venues, with multiple publications appearing in:

arXiv (Cornell University)
PLoS neglected tropical diseases
Acta Arithmetica
Algebra & Number Theory
BMJ Open

The scientist has received recognition in the form of awards including:

Fellow of the American Mathematical Society, 2016, For contributions to analytic number theory and the theory of automorphic forms
Fellow of Alfred P. Sloan Foundation, 1990

Best Publications

Bounds for automorphic L -functions

W. Duke;J. Friedlander;H. Iwaniec

395
Citations
Density of integer points on affine homogeneous varieties

W. Duke;Z. Rudnick;Z. Rudnick;Peter Clive Sarnak

345
Citations
Representation of integers by positive ternary quadratic forms and equidistribution of lattice points on ellipsoids.

William Duke;Rainer Schulze-Pillot

197
Citations
The subconvexity problem for Artin L-functions

W. Duke;J. B. Friedlander;Henryk Iwaniec

191
Citations
Equidistribution of roots of a quadratic congruence to prime moduli

William Duke;John B. Friedlander;Henryk Iwaniec

154
Citations
On the Zeros and Coefficients of Certain Weakly Holomorphic Modular Forms

W. Duke;Paul Jenkins

136
Citations
Cycle integrals of the j-function and mock modular forms

William Duke;Özlem Imamoglu;Á. Tóth

130
Citations
A quadratic divisor problem.

W. Duke;W. Duke;J. B. Friedlander;J. B. Friedlander;Henryk Iwaniec

125
Citations
A problem of Linnik for elliptic curves and mean-value estimates for automorphic representations

W. Duke;E. Kowalski

122
Citations
Bounds for automorphic L-functions. II

W. Duke;J. B. Friedlander;H. Iwaniec;H. Iwaniec

119
Citations
The distribution of the eigenvalues of Hecke operators

J. B. Conrey;W. Duke;D. W. Farmer

114
Citations
Bounds for automorphicL-functions. II

W. Duke;J. B. Friedlander;H. Iwaniec

107
Citations
The critical order of vanishing of automorphic L -functions with large level

W. Duke

105
Citations
Continued fractions and modular functions

W. Duke

95
Citations
Bilinear forms with Kloosterman fractions

W. Duke;J. Friedlander;Henryk Iwaniec

93
Citations
Elliptic curves with no exceptional primes

William Duke

72
Citations
Integral traces of singular values of weak Maass forms

William Duke;Paul Jenkins

62
Citations
Bilinear forms in the Fourier coefficients of half-integral weight cusp forms and sums over primes

W. Duke;Henryk Iwaniec

62
Citations
Weyl Sums for Quadratic Roots

W. Duke;J. B. Friedlander;H. Iwaniec

61
Citations
The distribution of the eigenvalues of Hecke operators

J. Brian Conrey;William Duke;David W. Farmer

0
Citations

Frequent Co-Authors

Henryk Iwaniec Rutgers, The State University of New Jersey

John B. Friedlander University of Toronto

Eric D'Hoker University of California, Los Angeles

Zeév Rudnick Tel Aviv University

Richard P. Stanley MIT

Peter Sarnak Princeton University

External Links

Personal website of William Duke

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