Jeffrey Ezra Hoffstein (born September 28, 1953 in

New York City New York, often called New York City or NYC, is the List of United States cities by population, most populous city in the United States. With a 2020 population of 8,804,190 distributed over , New York City is also the L ...

) is an American mathematician, specializing in number theory, automorphic forms, and cryptography.

Education and career

Hoffstein graduated with a bachelor's degree in 1974 from

Cornell University Cornell University is a private statutory land-grant research university based in Ithaca, New York. It is a member of the Ivy League. Founded in 1865 by Ezra Cornell and Andrew Dickson White, Cornell was founded with the intention to teach an ...

. He received his Ph.D. in 1978 from

Massachusetts Institute of Technology The Massachusetts Institute of Technology (MIT) is a private land-grant research university in Cambridge, Massachusetts. Established in 1861, MIT has played a key role in the development of modern technology and science, and is one of the ...

with thesis ''Class numbers of totally complex quadratic extensions of totally real fields'' under the supervision of

Harold Stark Harold Mead Stark (born August 6, 1939 in Los Angeles, California) is an American mathematician, specializing in number theory. He is best known for his solution of the Gauss class number 1 problem, in effect correcting and completing the earli ...

. Hoffstein was a postdoc at the

Institute for Advanced Study The Institute for Advanced Study (IAS), located in Princeton, New Jersey, in the United States, is an independent center for theoretical research and intellectual inquiry. It has served as the academic home of internationally preeminent scholar ...

and then at the

University of Cambridge , mottoeng = Literal: From here, light and sacred draughts. Non literal: From this place, we gain enlightenment and precious knowledge. , established = , other_name = The Chancellor, Masters and Schola ...

. From 1980 to 1982 he was an assistant professor at

Brown University Brown University is a private research university in Providence, Rhode Island. Brown is the seventh-oldest institution of higher education in the United States, founded in 1764 as the College in the English Colony of Rhode Island and Providenc ...

. From 1982 he was an assistant professor and then an associate professor at the

University of Rochester The University of Rochester (U of R, UR, or U of Rochester) is a private research university in Rochester, New York. The university grants undergraduate and graduate degrees, including doctoral and professional degrees. The University of Roc ...

. Since 1989 he is a full professor at Brown University and he was from 2009 to 2013 the chair of the mathematics department there. His research uses analytic and algebraic methods to investigate L-series of automorphic forms over GL(n) and number fields. With co-workers he has developed new techniques for Dirichlet series in several complex variables. He was several times a visiting scholar at the Institute for Advanced Study (1978/79, 1985, 1986/87). At MSRI, in the academic year 1994/95 he initiated seminars on automorphic functions. In 1984 he was a Fulbright Fellow. He was a visiting professor at the University of Texas at Austin in the spring of 1984 and at the University of Göttingen in the fall of 1986. He became a Fellow of the

American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...

in the class of 2019. In 1996, Hoffstein, along with

Jill Pipher Jill Catherine Pipher (born December 14, 1955 in Harrisburg, Pennsylvania) was the president of the American Mathematical Society. She began a two-year term in 2019. She is also the past-president of the Association for Women in Mathematics (AWM, ...

Joseph Silverman Joseph Silverman (August 25, 1860 in Ohio – July 26, 1930 in New York City), was a leading American Reform rabbi and author. He was the first American born rabbi to serve in New York City. Born in Cincinnati, he attended the University of ...

, and Daniel Liemann (Hoffstein's former doctoral student), founded NTRU Cryptosystems, Inc. to market their cryptographic algorithms,

NTRUEncrypt The NTRUEncrypt public key cryptosystem, also known as the NTRU encryption algorithm, is an NTRU lattice-based alternative to RSA and elliptic curve cryptography (ECC) and is based on the shortest vector problem in a lattice (which is not known ...

and

NTRUSign NTRUSign, also known as the NTRU Signature Algorithm, is an NTRU public-key cryptography digital signature algorithm based on the GGH signature scheme. The original version of NTRUSign was Polynomial Authentication and Signature Scheme (PASS), an ...

. NTRU Cryptosystems was acquired by Security Innovation in 2009.

Selected publications

* with Jill Pipher, Joseph Silverman: ''An Introduction to Mathematical Cryptography''. Springer-Verlag, 2008
2014, 2nd edition
* Some analytic bounds for zeta functions and class numbers, Inventiones Mathematicae, vol. 55, 1979, pp. 37–47 * with

Dorian Goldfeld Dorian Morris Goldfeld (born January 21, 1947) is an American mathematician working in analytic number theory and automorphic forms at Columbia University. Professional career Goldfeld received his B.S. degree in 1967 from Columbia University. ...

: Eisenstein series of half integral weight and the mean value of real Dirichlet L-series, Inv. Math., vol. 80, 1985, pp. 185–208 * with

Daniel Bump Daniel Willis Bump (born 13 May 1952) 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 rando ...

, Solomon Friedberg: ''On some applications of automorphic forms to number theory'', Bulletin AMS, Band 33, 1996, pp. 157–175, * with Bump ''Cubic metaplectic forms on GL(3)'', Inv. Math., 84, 1986, pp. 481–505 * with Bump, D. Ginzburg ''The symmetric cube'', Inv. Math., 125, 1996, pp. 413–449 * with Bump, Friedberg ''Eisenstein series on the metaplectic group and non vanishing theorems for automorphic L-functions and their derivatives'', Annals of Mathematics, vol. 131, 1990, pp. 53–127 * with Bump, Friedberg ''Nonvanishing theorems for L-functions of modular forms and their derivatives'', Inv. Math., 102, 1990, 543–618 * with Friedberg ''Nonvanishing theorems for automorphic L-functions on GL(2)'', Annals of Mathematics, vol. 142, 1995, pp. 385–423 * with P. Lockhart ''Coefficients of Maass forms and the Siegel zero'', Annals of Mathematics, vol. 140, 1994, pp. 161–181

References

External links

* {{DEFAULTSORT:Hoffstein, Jeffrey 1953 births Living people 20th-century American mathematicians 21st-century American mathematicians Number theorists Cornell University alumni Massachusetts Institute of Technology alumni University of Rochester faculty Brown University faculty Fellows of the American Mathematical Society