Jeffrey Hoffstein

from Wikipedia, the free encyclopedia

Jeffrey Ezra Hoffstein (* 1953 in New York City ) is an American mathematician who studies analytical number theory and automorphic forms.

Jeffrey Hoffstein, Oberwolfach 2011

Hoffstein studied at Cornell University ( bachelor's degree 1974) and received his doctorate in 1978 from the Massachusetts Institute of Technology under Harold Stark ( Class numbers of totally complex quadratic extensions of totally real fields ). As a post-doctoral student , he was at the Institute for Advanced Study and the University of Cambridge . From 1980 to 1982 he was JD Tamarkin Assistant Professor at Brown University , became Assistant Professor in 1982 and later Associate Professor at the University of Rochester, and has been Professor at Brown University since 1989.

He investigates L-series to automorphic forms via GL (n) and number fields with analytical and algebraic methods. Among other things, he developed the technique of multiple Dirichlet series. He was visiting scholar at the Institute for Advanced Study (1978/79, 1985, 1986/87) and at the MSRI , where he led special conference series for automorphic functions for a year in 1994/95, at the University of Göttingen (1996) and at the University of Texas at Austin (visiting professor 1984).

With Jill Pipher and Joseph Silverman , he developed a public key crypto process ( NTRUEncrypt ), which he also markets as a co-founder of NTRU Cryptosystems (1996). To this end, he founded a company in 1996 with Pipher, Silverman and his doctoral student Daniel Lieman.

In 1984 he was a Fulbright Fellow .

Fonts

  • Some Analytic Bounds for Zeta Functions and Class Numbers. In: Inventiones Mathematicae . Vol. 55, 1979, pp. 37-47 .
  • with Dorian Goldfeld : Eisenstein series of -integral weight and the mean value of real Dirichlet- series. In: Inventiones Mathematicae. Volume 80, 1985, pp. 185-208 .
  • with Daniel Bump : Cubic metaplectic forms on . In: Inventiones Mathematicae. Volume 84, 1986, pp. 481-505 .
  • with Daniel Bump, Solomon Friedberg : Eisenstein series on the metaplectic group and non vanishing theorems for automorphic functions and their derivatives. In: Annals of Mathematics . Volume 131, No. 1, 1990, pp. 53-127, doi : 10.2307 / 1971508 .
  • with Daniel Bump, Solomon Friedberg: Nonvanishing theorems for -functions of modular forms and their derivatives. In: Inventiones Mathematicae. Vol. 102, 1990, pp. 543-618 .
  • with Paul Lockhart: Coefficients of Maass forms and the Siegel zero. In: Annals of Mathematics. Volume 140, No. 1, 1994, pp. 161-181 doi : 10.2307 / 2118543 .
  • with Solomon Friedberg: Nonvanishing theorems for automorphic functions on . In: Annals of Mathematics. Volume 142, No. 2, 1995, pp. 385-423, doi : 10.2307 / 2118638 .
  • with Daniel Bump, Solomon Friedberg: On some applications of automorphic forms to number theory. In: Bulletin of the American Mathematical Society . Volume 33, No. 2, 1996, pp. 157-175, doi : 10.1090 / S0273-0979-96-00654-4 .
  • with Daniel Bump, David Ginzburg: The symmetric cube. In: Inventiones Mathematicae. Volume 125, 1996, pp. 413-449, doi : 10.1007 / s002220050082 .
  • with Jill Pipher , Joseph H. Silverman : An Introduction to Mathematical Cryptography (= Undergraduate Texts in Mathematics. ). Springer, New York NY et al. 2008, ISBN 978-0-387-77993-5 .

Web links

Individual evidence

  1. ↑ Life data according to the membership book of the Institute for Advanced Study 1980
  2. ^ Mathematics Genealogy Project |
personal data
SURNAME Hoffstein, Jeffrey
ALTERNATIVE NAMES Hoffstein, Jeffrey Ezra (full name)
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH 1953
PLACE OF BIRTH New York City