Joseph Hillel Silverman (born March 27, 1955,New York City)^[1] is a professor of mathematics atBrown University^[2] working inarithmetic geometry,arithmetic dynamics, andcryptography.

Joseph Silverman received anSc.B. from Brown University in 1977 and aPh.D. fromHarvard University in 1982 under the direction ofJohn Tate. He taught atM.I.T. (1982–1986) and atBoston University (1986–1988) before taking a position at Brown in 1988.^[3]

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.^[4] He has served on the editorial boards ofAlgebra and Number Theory andNew York Journal of Mathematics.^[5][6]

In 1996, Silverman, along withJeffrey Hoffstein,Jill Pipher andDaniel Lieman, founded NTRU Cryptosystems, Inc. to market their cryptographic algorithms,NTRUEncrypt andNTRUSign.

In 2012 he became a fellow of theAmerican Mathematical Society.^[7]

Silverman has written two graduate texts on elliptic curves,The Arithmetic of Elliptic Curves (1986) andAdvanced Topics in the Arithmetic of Elliptic Curves (1994). For these two books he received aSteele Prize for Mathematical Exposition from theAmerican Mathematical Society, 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 withJohn Tate),A Friendly Introduction to Number Theory (3rd ed. 2005), andAn Introduction to Mathematical Cryptography (2008, co-authored withJeffrey Hoffstein andJill Pipher). Additional graduate-level texts authored by Silverman areDiophantine Geometry: An Introduction (2000, co-authored withMarc Hindry) andThe Arithmetic of Dynamical Systems (2007).

• ———; Hindry, M. (23 March 2000),Diophantine geometry: An introduction, Springer,ISBN 0-387-98981-1.^[8]
• ———; Cornell, G.;Stevens, G. (1997),Modular forms and Fermat's Last Theorem, Springer,ISBN 0-387-94609-8.^[9]
• ———; Hoffstein, J.; Pipher, J. (12 August 2008),An introduction to mathematical cryptography, Springer,ISBN 978-0-387-77993-5.
• ——— (1986),The arithmetic of elliptic curves, 世界图书出版公司,ISBN 0-387-96203-4.^[10][11]Silverman, Joseph H. (2009).2nd edition. Springer.ISBN 9780387094946.
• ——— (1994),Advanced topics in the arithmetic of elliptic curves, Springer,ISBN 0-387-94328-5.
• ——— (5 May 2010),The arithmetic of dynamical systems, Springer,ISBN 978-0-387-69903-5.^[12]
• ——— (2006),A friendly introduction to number theory, Pearson Prentice Hall,ISBN 978-0-13-186137-4.
• ———; Tate, J. (18 November 1994),Rational points on elliptic curves, Springer,ISBN 0-387-97825-9.Silverman, Joseph H.; Tate, John T. (2015).2nd edition. Springer.ISBN 9783319185880.^[11]

• Joseph H. Silverman at theMathematics Genealogy Project
• Joseph Silverman's home page
• 1998 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

• Articles with short description
• Short description is different from Wikidata
• Articles with hCards