Joseph H. Silverman

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Joseph H. Silverman
Born (1955-03-27) March 27, 1955 (age 63)
New York City
Nationality  United States
Alma mater Harvard University
Awards Leroy P. Steele Prize (1998)
Scientific career
Fields Mathematics
Institutions Brown University
Doctoral advisor John Tate

Joseph Hillel Silverman (born March 27, 1955, New York City)[1] is a professor of mathematics at Brown University. 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.

Silverman's work has been in number theory, arithmetic geometry, arithmetic dynamics and cryptography. He has published more than 100 research articles, written or coauthored six books, and edited three conference proceedings.

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.[2]


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. ^ List of Fellows of the American Mathematical Society, retrieved 2013-07-20.
  3. ^ Gross, Robert (2001). "Review: Diophantine geometry: an introduction, by M. Hindry and J. H. Silverman". Bull. Amer. Math. Soc. (N.S.). 38 (3): 379–381. doi:10.1090/s0273-0979-01-00907-7. 
  4. ^ Buzzard, Kevin (1999). "Review: Modular forms and Fermat's Last Theorem, by G. Cornell, J. H. Silverman, and G. Stevens". Bull. Amer. Math. Soc. (N.S.). 36 (2): 261–266. doi:10.1090/s0273-0979-99-00778-8. 
  5. ^ Cassels, J. W. S. (1987). "Review: The arithmetic of elliptic curves, by J. H. Silverman". Bull. Amer. Math. Soc. (N.S.). 17 (1): 148–149. doi:10.1090/s0273-0979-1987-15544-3. 
  6. ^ 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 (N.S.). 54 (4): 591–594. 
  7. ^ Benedetto, Robert L. (January 2009). "Review of The arithmetic of dynamical systems by Joseph H. Silverman" (PDF). Bull. Amer. Math. Soc. (N.S.). 46 (1): 157–164. 

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