Joseph H. Silverman

Office: 202 Kassar House Phone (direct): (401) 863-1124 Phone (dept office): (401) 863-2708 Fax: (401) 863-9013 Email: joseph_silverman@brown.edu Mailing Address: Mathematics Department Box 1917 Brown University Providence, RI 02912 USA

Teaching Schedule: 

Academic 2012/2013

Spring - Math 540 - Linear Algebra - D hour (S1 - 24280) (11:00 – 11:50), Barus-Holley 163

Spring - Math 2540 - Number Theory - C hour (S1 - 24298) (10:00 – 10:50), Barus-Holley 165

 

Fall - Math 1580 - Cryptography - D hour (S1 - 14784) (11:00 – 11:50), CIT 227

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 a CV and complete list of publications.

Books

• Moduli Spaces and Arithmetic Dynamics CRM Monograph Series 30, AMS, 2012.
• An Introduction to Mathematical Cryptography, with Jill Pipher and Jeffrey Hoffstein, Springer-Verlag, UTM, 2008.
• The Arithmetic of Dynamical Systems, Springer-Verlag, GTM 241, 2007.
• A Friendly Introduction to Number Theory, Pearson, 4th Edition 2012.
• Cryptography and Lattices Conference (CaLC 2001), editor, Lecture Notes in Computer Science 2146, Springer-Verlag, 2001.
• Diophantine Geometry: An Introduction, with Marc Hindry, Springer-Verlag, GTM 201, 2000.
• Modular Forms and Fermat's Last Theorem, co-editor with Gary Cornell and Glenn Stevens, Springer-Verlag, 1997.
• Advanced Topics in the Arithmetic of Elliptic Curves, Springer-Verlag, GTM 151, 1995.
  
• Rational Points on Elliptic Curves, with John Tate, Springer-Verlag, UTM, 1992.
  
• Arithmetic Geometry, co-editor with Gary Cornell, Springer-Verlag, 1986.
• The Arithmetic of Elliptic Curves, Springer-Verlag, GTM 106, 1986. Expanded 2nd Edition, 2009.

Selected Preprints and Reprints

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

• ABC Conjecture Web Site (Abderrahmane Nitaj)
• Algorithmic Number Theory Links (Noam Elkies)
• ArXiv Number Theory Preprint Server
• ArXiv Algebraic Geometry Preprint Server
• Number Theory, Elliptic Curves, Modular Forms, and L-functions Database
• Lehmer's Conjecture Web Site (Michael Mossinghoff)
• Mathematics Geneaology Project
• Sage: Open Source Mathematics Software
• Sage Online Notebook
• NTRU Cryptographic Systems
• Number Theory Web

Send questions and comments to: jhs@math.brown.edu