Joseph H. Silverman
Office: 202 Kassar House
Phone (direct): (401) 8631124
Phone (dept office): (401) 8632708
Fax: (401) 8639013
Email:
joseph_silverman@brown.edu
Mailing Address:
 Mathematics Department
Box 1917
Brown University
Providence, RI 02912 USA


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
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.
Books
 Abstract Algebra: An Integrated Approach,
AMS Pure and Applied Undergraduate Texts.
 Moduli Spaces and Arithmetic Dynamics,
CRM Monograph Series 30, AMS, 2012.
 An Introduction to Mathematical Cryptography,
with Jill Pipher and Jeffrey Hoffstein,
SpringerVerlag, UTM, 2008. 2nd Edition 2014.
 The Arithmetic of Dynamical Systems,
SpringerVerlag, GTM 241, 2007.
 A Friendly Introduction to Number Theory, Pearson,
1997. 4th Edition 2012.
 Diophantine Geometry: An Introduction, with Marc Hindry,
SpringerVerlag, GTM 201, 2000.
 Advanced Topics in the Arithmetic of Elliptic Curves,
SpringerVerlag, GTM 151, 1995.
 Rational Points on Elliptic Curves, with John Tate,
SpringerVerlag, UTM, 1992. Expanded 2nd Edition, 2015.
 The Arithmetic of Elliptic Curves,
SpringerVerlag, GTM 106,
1986. Expanded 2nd Edition, 2009.
Edited Volumes
 Cryptography and Lattices Conference (CaLC 2001),
editor, Lecture Notes in Computer Science 2146, SpringerVerlag, 2001.
 Modular Forms and Fermat's Last Theorem, coeditor with
Gary Cornell and Glenn Stevens, SpringerVerlag, 1997.
 Arithmetic Geometry, coeditor with Gary Cornell,
SpringerVerlag, 1986.
Selected Preprints and Reprints
Click here for preprints and reprints available on the
ArXiv.org
Presentations
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).
Links to Number Theory Sites, Elliptic Curve Sites
and Other Sites of Interest
Go To Mathematics Department
Home Page
Send questions and comments to:
jhs@math.brown.edu