Joseph H. Silverman
Born (1955-03-27) March 27, 1955 (age 69)
Alma materHarvard University
AwardsLeroy P. Steele Prize (1998)
Scientific career
InstitutionsBrown University
Doctoral advisorJohn Tate
Doctoral studentsMichelle Manes
Katherine E. Stange

Joseph Hillel Silverman (born March 27, 1955, New York City)[1] is a professor of mathematics at Brown University[2] working in arithmetic geometry, arithmetic dynamics, and cryptography.


Joseph Silverman received an Sc.B. from Brown University in 1977 and a Ph.D. from Harvard University in 1982 under the direction of John Tate. He taught at M.I.T. (1982–1986) and at Boston 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 currently serves on the editorial boards of Algebra and Number Theory and New York Journal of Mathematics.[5][6]


In 1996, Silverman, along with Jeffrey Hoffstein, Jill Pipher and Daniel Lieman, founded NTRU Cryptosystems, Inc. to market their cryptographic algorithms, NTRUEncrypt and NTRUSign.


In 2012 he became a fellow of the American Mathematical Society.[7]


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 American 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 with John Tate), A Friendly Introduction to Number Theory (3rd ed. 2005), and An Introduction to Mathematical Cryptography (2008, co-authored with Jeffrey Hoffstein and Jill Pipher). 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).



  1. ^ "Biographies of Candidates 2007" (PDF), Notices of the American Mathematical Society, 54 (8): 1043–1057, September 2007, retrieved 2009-05-25
  2. ^ Brown University Mathematics Faculty, retrieved 2020-01-13.
  3. ^ CV
  4. ^ MathSciNet author citations
  5. ^ Editorial board of Algebra and Number Theory, retrieved 2020-01-13.
  6. ^ Editorial Board of New York Journal of Mathematics, retrieved 2020-01-13.
  7. ^ List of Fellows of the American Mathematical Society, retrieved 2013-07-20.
  8. ^ Gross, Robert (2001). "Review: Diophantine geometry: an introduction, by M. Hindry and J. H. Silverman". Bull. Amer. Math. Soc. New Series. 38 (3): 379–381. doi:10.1090/s0273-0979-01-00907-7.
  9. ^ Buzzard, Kevin (1999). "Review: Modular forms and Fermat's Last Theorem, by G. Cornell, J. H. Silverman, and G. Stevens". Bull. Amer. Math. Soc. New Series. 36 (2): 261–266. doi:10.1090/s0273-0979-99-00778-8.
  10. ^ Cassels, J. W. S. (1987). "Review: The arithmetic of elliptic curves, by J. H. Silverman". Bull. Amer. Math. Soc. New Series. 17 (1): 148–149. doi:10.1090/s0273-0979-1987-15544-3.
  11. ^ a b Silverman, Joseph (2017). "Rational points on, and the arithmetic of, elliptic curves: A tale of two books (and an article)" (PDF). Bulletin of the American Mathematical Society. New Series. 54 (4): 591–594. doi:10.1090/bull/1542.
  12. ^ Benedetto, Robert L. (January 2009). "Review of The arithmetic of dynamical systems by Joseph H. Silverman" (PDF). Bull. Amer. Math. Soc. New Series. 46 (1): 157–164. doi:10.1090/s0273-0979-08-01216-0.