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| About site: http://www.math.brown.edu/~jhs/ |
Title: Math/Number Theory/Software/Pari-GP - Pari Reference Cards On the home page of Joseph Silverman. |
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Home Page of Joseph Silverman Joseph H. Silverman Office: 202 Kassar HousePhone (direct): (401) 863-1124Phone (dept office): (401) 863-2708Fax: (401) 863-9013Email: joseph_silverman@brown.eduMailing Address: Mathematics Department Box 1917 Brown University Providence, RI 02912 USATeaching Schedule: Academic 2008/2009 Spring - Math 1540 - Algebra - C hour (10:00–10:50am), Barus & Holley 160 Spring - Math 1560 - Number Theory - D hour(11:00–11:50am), Barus & Holley 161 Academic 2007/2008 Fall - Math 1580 - Cryptography - C Hour (MWF 10:00-10:50), Barus & Holley 160 Spring - Math 0420 - Number Theory - G Hour (MWF 2:00-2:50) Research Interests: Number theory, elliptic curves,arithmetic and Diophantine geometry, number theoretic aspects ofdynamical systems, cryptographyMathematical genealogy and list of Ph.D. studentsSelected Publications (For a CV and complete listof publications, Click Here)Books 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, Prentice Hall, Third Edition 2006. 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. Errata for Advanced Topics ... Rational Points on Elliptic Curves, with John Tate, Springer-Verlag, UTM, 1992 Errata for Rational Points ... Arithmetic Geometry, co-editor with Gary Cornell, Springer-Verlag, 1986. The Arithmetic of Elliptic Curves, Springer-Verlag, GTM 106, 1986.Selected Preprints and ReprintsClick here for my preprints and reprints that are available on theArXiv.org Eprint ArchivePresentations The Ubiquity of Elliptic Curves - Version 1, Expanded version of MAA Invited Lecture presented at the Baltimore meeting, January 2003. (Powerpoint) The Ubiquity of Elliptic Curves - Version 2, Public Lecture, University College of Dublin, September 2007. (Powerpoint) A Number Theorist's Perspective on Dynamical Systems, Frontier Lectures, Texas A & M, April 2005 (PDF) An Introduction to Height Functions, Expanded version of lectures presented at MSRI, January 2006. (PDF) An Introduction to the Theory of Lattices, Summer School on Computational Number Theory and Applications to Cryptography, University of Wyoming, June/July 2006. (PDF) An Introduction to the Theory of Elliptic Curves, Summer School on Computational Number Theory and Applications to Cryptography, University of Wyoming, June/July 2006. (PDF) The Arithmetic of Dynamical Systems, Kuwait Lecture, Cambridge University, February 20, 2007. (PDF) Independence of Heegner Points, Number Theory Seminar, Cambridge University, February 22, 2007. (PDF) p-adic Properties of Elliptic Divisibility Sequences, Number Theory and Computability, ICMS Edinburgh, June 27, 2007. (PDF) The Four Faces of Lifting for the Elliptic Curve Discrete Logarithm Problem, 11th Workshop on Elliptic Curve Cryptography, University College Dublin, September 5, 2007. (PDF) Dynamics and Canonical Heights on K3 Surfaces with Noncommuting Involutions, Workshop on Rational Points on K3 Surfaces, BIRS, Banff, December 3, 2008. (PDF)Reference Sheets The following reference sheets are beingmade 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 Addtional card available at RefCards.com Links to Number Theory Sites, Elliptic Curve Sitesand 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 Elliptic Curve Tables (John Cremona)Online Version of Cremona's Elliptic Curve Tables Lehmer's Conjecture Web Site (Michael Mossinghoff) Mathematics Geneaology Project Modular Forms Database (William Stein)NTRU Cryptographic Systems Number Theory Web Go To Mathematics DepartmentHome Page Send questions and comments to:jhs@math.brown.edu |
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On | the | home | page | of | Joseph | Silverman. | |
http://www.math.brown.edu/~jhs/
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