Joseph H. Silverman Explained

Joseph H. Silverman
Birth Date:27 March 1955
Birth Place:New York City
Nationality:American
Fields:Mathematics
Workplaces:Brown University
Alma Mater:Harvard University
Doctoral Advisor:John Tate
Doctoral Students:Michelle Manes
Katherine E. Stange
Awards:Leroy P. Steele Prize (1998)

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

Biography

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.[2]

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.[3] He has served on the editorial boards of Algebra and Number Theory and New York Journal of Mathematics.[4] [5]

Industry

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

Awards

In 2012 he became a fellow of the American Mathematical Society.[6]

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 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).

Publications

External links

Notes and References

  1. https://www.brown.edu/academics/math/faculty Brown University Mathematics Faculty
  2. https://vivo.brown.edu/docs/j/johsilve_cv.pdf?dt=231315106
  3. https://mathscinet.ams.org/mathscinet/2006/mathscinet/search/author.html?mrauthid=162205 MathSciNet author citations
  4. https://msp.org/ant/about/journal/editorial.html Editorial board of Algebra and Number Theory
  5. http://nyjm.albany.edu/edboard.htm Editorial Board of New York Journal of Mathematics
  6. https://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society
  7. Gross, Robert. Review: Diophantine geometry: an introduction, by M. Hindry and J. H. Silverman. Bull. Amer. Math. Soc. . New Series. 2001. 38. 3. 379–381. 10.1090/s0273-0979-01-00907-7. free.
  8. Buzzard, Kevin. Kevin Buzzard. Review: Modular forms and Fermat's Last Theorem, by G. Cornell, J. H. Silverman, and G. Stevens. Bull. Amer. Math. Soc. . New Series. 1999. 36. 2. 261–266. 10.1090/s0273-0979-99-00778-8. free.
  9. Cassels, J. W. S.. J. W. S. Cassels. Review: The arithmetic of elliptic curves, by J. H. Silverman. Bull. Amer. Math. Soc. . New Series. 1987. 17. 1. 148–149. 10.1090/s0273-0979-1987-15544-3. free.
  10. Silverman, Joseph. Rational points on, and the arithmetic of, elliptic curves: A tale of two books (and an article). Bulletin of the American Mathematical Society . New Series. 54. 4. 2017. 591–594. 10.1090/bull/1542. free.
  11. Benedetto, Robert L.. Review of The arithmetic of dynamical systems by Joseph H. Silverman. Bull. Amer. Math. Soc. . New Series. January 2009. 46. 1. 157–164. 10.1090/s0273-0979-08-01216-0. free.