William Duke (mathematician)

William Drexel Duke (born 1958) is an American mathematician specializing in number theory.

Duke studied at the University of New Mexico and then at New York University (Courant Institute), 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.[1]

Honors

Duke gave an Invited Address at the 1998 International Congress of Mathematicians in Berlin.[2][3][4] Duke gave an AMS Invited Address at a 2001 Fall sectional meeting of the American Mathematical Society in Irvine, California.[5] He was selected as a fellow of the American Mathematical Society in 2016 "for contributions to analytic number theory and the theory of automorphic forms".[6]

Duke is an Editorial Board Member for the book series "Monographs in Number Theory" published by World Scientific.[7]

Students

Amanda Folsom

Selected publications

Duke, W. (1988) Hyperbolic distribution problems and half-integral weight Maass forms, Inventiones Mathematicae, 92, 73–90.
Duke, W., Schulze-Pillot, R. (1993) Representation of integers by positive ternary quadratic forms and equidistribution of lattice points on ellipsoids, Duke Mathematical Journal, 71, 143–179.
Duke, W., Friedlander, J., Iwaniec, H. (1993) Bounds for automorphic L-functions, Inventiones Mathematicae, 112, 1–8.
Duke, W., Friedlander, J., Iwaniec, H. (1994) Bounds for automorphic L-functions II, Inventiones Mathematicae, 115, 219–239.
Duke, W., Friedlander, J., Iwaniec, H. (1995), Equidistribution of roots of a quadratic congruence to prime moduli, Annals of Mathematics, 141, 423–441.
Duke, W. (1995) The critical order of vanishing of automorphic L-functions with large level, Inventiones Mathematicae, 119, 165–174.
Duke, W., Kowalski, E. (2000), A problem of Linnik for elliptic curves and mean-value estimates for automorphic representations. With an appendix by Dinakar Ramakrishnan, Inventiones Mathematicae, 139, 1–39.
Duke, W., Friedlander, J., Iwaniec, H. (2002), The subconvexity problem for Artin L-functions, Inventiones Mathematicae, 149, 489–577.

gollark: Oh, conspicuously, that's what I mean.

gollark: So what do you actually hope to gain by confusingly and quite noticeably refusing to mention the existence of esoserver?

gollark: As far as I know most discussion and invitation to esoserver happened over DMs anyway.

gollark: You're quite literally metaphorically acting like a repressive authoritarian government (I mean, not torturing people and such, but denying the existence of opposition, thinking you're the only one who can save the people from themselves, censoring anything (invites) which *might be* opposition), except with less power since you can't stop people directly communicating with each other.

gollark: That would probably not have helped.

References

Faculty profile, Department of Mathematics, University of California, Los Angeles. Accessed May 15, 2016.
ICM Plenary and Invited Speakers since 1897, International Mathematical Union. Accessed May 15, 2016.
Invited speakers for ICM-98, Notices of the American Mathematical Society, 45 (1998), no. 5, p. 621
Duke, William (1998). "Bounds for arithmetic multiplicities". Doc. Math. (Bielefeld) Extra Vol. ICM Berlin, 1998, vol. II. pp. 163–172.
AMS Sectional Meeting Invited Addresses, American Mathematical Society. Accessed May 15, 2016
2016 Class of the Fellows of the AMS, American Mathematical Society. Accessed May 15, 2016.
Monographs in Number Theory, (series info), World Scientific. Accessed May 15, 2016

External links

William Duke's webpage at UCLA
William Drexel Duke at the Mathematics Genealogy Project

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[1] Faculty profile, Department of Mathematics, University of California, Los Angeles. Accessed May 15, 2016.

[2] ICM Plenary and Invited Speakers since 1897, International Mathematical Union. Accessed May 15, 2016.

[3] Invited speakers for ICM-98, Notices of the American Mathematical Society, 45 (1998), no. 5, p. 621

[4] Duke, William (1998). "Bounds for arithmetic multiplicities". Doc. Math. (Bielefeld) Extra Vol. ICM Berlin, 1998, vol. II. pp. 163–172.

[5] AMS Sectional Meeting Invited Addresses, American Mathematical Society. Accessed May 15, 2016

[6] 2016 Class of the Fellows of the AMS, American Mathematical Society. Accessed May 15, 2016.

[7] Monographs in Number Theory, (series info), World Scientific. Accessed May 15, 2016