Joseph H. Silverman

Office: 202 Kassar House
Phone (direct): (401) 863-1124
Phone (dept office): (401) 863-2708
Fax: (401) 863-9013

Mailing Address:

  • Mathematics Department
    Box 1917
    Brown University
    Providence, RI 02912 USA
      Joseph H. Silverman

Teaching Schedule: 

Academic 2024/2025
Fall - Math 1540 - Topics in Abstract Algebra
Fall - Math 0750 - Introduction to Higher Mathematics
Spring - Math 2540 - Number Theory
Academic 2023/2024
Fall - Math 2530 - Number Theory
Spring - Math 0420 - Number Theory
Academic 2022/2023
Sabbatical Leave
Academic 2021/2022
Fall - Math 2530 - Number Theory
Spring - Math 1530 - Algebra

Advice for those requesting a Letter of Recommendation

Research Interests: Number theory, elliptic curves, arithmetic and Diophantine geometry, number theoretic aspects of dynamical systems, cryptography

Mathematical genealogy and list of Ph.D. students

CV and Publications

Click here for further information and a link to a CV and list of publications.


  1. Abstract Algebra: An Integrated Approach, AMS Pure and Applied Undergraduate Texts.
  2. Moduli Spaces and Arithmetic Dynamics, CRM Monograph Series 30, AMS, 2012.
  3. An Introduction to Mathematical Cryptography, with Jill Pipher and Jeffrey Hoffstein, Springer-Verlag, UTM, 2008. 2nd Edition 2014.
  4. The Arithmetic of Dynamical Systems, Springer-Verlag, GTM 241, 2007.
  5. A Friendly Introduction to Number Theory, Pearson, 1997. 4th Edition 2012.
  6. Diophantine Geometry: An Introduction, with Marc Hindry, Springer-Verlag, GTM 201, 2000.
  7. Advanced Topics in the Arithmetic of Elliptic Curves, Springer-Verlag, GTM 151, 1995.
  8. Rational Points on Elliptic Curves, with John Tate, Springer-Verlag, UTM, 1992. Expanded 2nd Edition, 2015.
  9. The Arithmetic of Elliptic Curves, Springer-Verlag, GTM 106, 1986. Expanded 2nd Edition, 2009.

Edited Volumes

  1. Cryptography and Lattices Conference (CaLC 2001), editor, Lecture Notes in Computer Science 2146, Springer-Verlag, 2001.
  2. Modular Forms and Fermat's Last Theorem, co-editor with Gary Cornell and Glenn Stevens, Springer-Verlag, 1997.
  3. Arithmetic Geometry, co-editor with Gary Cornell, Springer-Verlag, 1986.

Selected Preprints and Reprints

Click here for preprints and reprints available on the


Click here for PDF and Powerpoint slides of selected presentations.

Reference Sheets

The following reference sheets are being made available as a service to the general mathematical community. They should be printed landscape (i.e., rotated 90 degrees).

Downloadable Reference Sheets
Reference Sheet Version Click on desired format
C 2.2 PDF DVI TeX source
AMS-LaTeX 2.0 PDF DVI TeX source
(plain) TeX 1.5 PDF DVI TeX source
AMSTeX 1.3 PDF DVI TeX source
PARI Available at the PARI Home Page
Sage Available at the Sage QuickRef Page
Additional cards available at

Links to Number Theory Sites, Elliptic Curve Sites and Other Sites of Interest

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