Joseph H. Silverman

Joseph Hillel Silverman ( born March 27, 1955 in New York City ) is an American number theorist.

Silverman graduated from Brown University ( BA 1977) and received his doctorate in 1982 with John T. Tate at Harvard with a thesis on The Neron - Tate Height on Elliptic Curves. From 1982 to 1986 he taught (from 1982 as a Moore Instructor ) at MIT, after which until 1988 was professor at Boston University and in 1988 at Brown University.

Silverman deals with arithmetic algebraic geometry and number theory. He also developed cryptographic algorithms ( NTRUEncrypt, NTRUSign ), which he also marketed as co-founder of NTRU Cryptosystems (along with Jeffrey Hoffstein, Jill Pipher and Daniel Lieman ). He is best known for his two books on number theory of elliptic curves, which are standard works. For these books, he received the Leroy P. Steele Prize of the American Mathematical Society, of which he is a Fellow.

• A Friendly Introduction to Number Theory. 3rd edition. Prentice-Hall, 2006.
• With Marc Hindry: Diophantine Geometry: An Introduction. Graduate Texts in Mathematics. Springer -Verlag, 2000, ISBN 0-387-98981-1.
• The Arithmetic of Elliptic Curves. Graduate Texts in Mathematics. Springer - Verlag, 1986, ISBN 0-387-96203-4.
• Advanced Topics in the Arithmetic of Elliptic Curves. Springer -Verlag, 1994, ISBN 0-387-94328-5.
• The Arithmetic of Dynamical Systems. Graduate Texts in Mathematics. Springer -Verlag, 2007, ISBN 978-0-387-69903-5.
• Jeffrey Hoffstein, Jill Pipher: An Introduction to Mathematical Cryptography. Springer -Verlag, 2008.
• Gary Connell, Glen Stevens (Editor): Modular Forms and Fermat 's Last Theorem. Springer -Verlag, 1997.