Joseph Hillel Silverman (born March 27, 1955,

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 a professor of mathematics 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 ...

working in

arithmetic geometry In mathematics, arithmetic geometry is roughly the application of techniques from algebraic geometry to problems in number theory. Arithmetic geometry is centered around Diophantine geometry, the study of rational points of algebraic variety, alg ...

arithmetic dynamics Arithmetic dynamics is a field that amalgamates two areas of mathematics, dynamical systems and number theory. Classically, discrete dynamics refers to the study of the iteration of self-maps of the complex plane or real line. Arithmetic dynamics is ...

, and

cryptography Cryptography, or cryptology (from grc, , translit=kryptós "hidden, secret"; and ''graphein'', "to write", or ''-logia'', "study", respectively), is the practice and study of techniques for secure communication in the presence of adver ...

Biography

Joseph Silverman received an Sc.B. from Brown University in 1977 and a

Ph.D. A Doctor of Philosophy (PhD, Ph.D., or DPhil; Latin: or ') is the most common degree at the highest academic level awarded following a course of study. PhDs are awarded for programs across the whole breadth of academic fields. Because it is ...

from

Harvard University Harvard University is a private Ivy League research university in Cambridge, Massachusetts. Founded in 1636 as Harvard College and named for its first benefactor, the Puritan clergyman John Harvard, it is the oldest institution of higher le ...

in 1982 under the direction of

John Tate John Tate may refer to: * John Tate (mathematician) (1925–2019), American mathematician * John Torrence Tate Sr. (1889–1950), American physicist * John Tate (Australian politician) (1895–1977) * John Tate (actor) (1915–1979), Australian act ...

. He taught at

M.I.T. 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 m ...

(1982–1986) and at

Boston University Boston University (BU) is a private research university in Boston, Massachusetts. The university is nonsectarian, but has a historical affiliation with the United Methodist Church. It was founded in 1839 by Methodists with its original campu ...

(1986–1988) before taking a position at Brown in 1988. Silverman has published more than 100 research articles, written or coauthored six books, and edited three conference proceedings; his work has been cited more than 5000 times, by over 2000 distinct authors. He currently serves on the editorial boards of

Algebra and Number Theory ''Algebra & Number Theory'' is a peer-reviewed mathematics journal published by the nonprofit organization Mathematical Sciences Publishers. It was launched on January 17, 2007, with the goal of "providing an alternative to the current range of c ...

and New York Journal of Mathematics.

Industry

In 1996, Silverman, along with

Jeffrey Hoffstein Jeffrey Ezra Hoffstein (born September 28, 1953 in New York City) 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 Cor ...

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, ...

and

Daniel Lieman Daniel is a masculine given name and a surname of Hebrew origin. It means "God is my judge"Hanks, Hardcastle and Hodges, ''Oxford Dictionary of First Names'', Oxford University Press, 2nd edition, , p. 68. (cf. Gabriel—"God is my strength"), ...

, 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.

Awards

In 2012 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, ...

Books

Silverman has written two graduate texts on elliptic curves, ''The Arithmetic of Elliptic Curves'' (1986) and ''Advanced Topics in the Arithmetic of Elliptic Curves'' (1994). For these two books he received a Steele Prize for Mathematical Exposition from the

, which cited them by saying that “Silverman's volumes have become standard references on one of the most exciting areas of algebraic geometry and number theory.” Silverman has also written three undergraduate texts: ''Rational Points on Elliptic Curves'' (1992, co-authored with

), ''A Friendly Introduction to Number Theory'' (3rd ed. 2005), and ''An Introduction to Mathematical Cryptography'' (2008, co-authored with

and

). Additional graduate-level texts authored by Silverman are ''Diophantine Geometry: An Introduction'' (2000, co-authored with Marc Hindry) and ''The Arithmetic of Dynamical Systems'' (2007).

Publications

*. *. *. *. *. *. *. *.

Notes

External links

*
Joseph Silverman's home page1998 Steele Prizes awarded by the American Mathematical Society
Living people 1955 births 20th-century American mathematicians 21st-century American mathematicians Arithmetic geometers Brown University alumni Harvard University alumni Brown University faculty Fellows of the American Mathematical Society Massachusetts Institute of Technology School of Science faculty {{US-mathematician-stub