Elliptic Curves and Modular Forms Number Theory Math

Tom Womack's pages address many elliptic curve subjects, including curves of given rank and small conductor, Mordell curves of large rank, and interesting torsion groups.

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• Elliptic Curves and Their Applications to Cryptography - Web text by Andreas Enge.
• Arithmetic of Cuves - Papers and surveys by Ed Schaefer.
• The Birch and Swinnerton-Dyer Conjecture - A Clay Mathematics Institute Prize problem, with description math by Andrew math Wiles [PDF] and lecture by Fernando math Rodriguez-Villegas [.ram].
• Elliptic Curves and Formal Groups - Lecture notes from a seminar J. Lubin, J.-P. elliptic curves and modular forms Serre and J. Tate.
• Elliptic Curves and Elliptic Functions - Introductory notes by Charles Daney.
• Elliptic Curves - Links to research papers maintained by Stéfane Fermigier.
• Bibliography for Automorphic and Modular Forms, L-Functions, Representations, and Number Theory - Compiled by Paul Garrett, 1996.
• Papers by Richard Borcherds - Including proof of the Moonshine Conjecture (TeX,DVI,PDF).
• Richard Taylor - Publications including the joint paper with Andrew Wiles math which completed elliptic curves and modular forms the proof of Fermat's Last Theorem.
• Modular Forms and Hecke Operators - Notes by William A. Stein of a course by Ken Ribet.
• Kolyvagin Seminar - A semester-long seminar studying Kolyvagin\\'s application of Euler number theory systems to elliptic curves. Includes extensive lecture notes number theory in PostScript or DVI format.
• Counting Points on Elliptic Curves - Robert Harley, Pierrick Gaudry, François Morain and Mireille Fouquet have number theory established new records for point counting in characteristic 2, using number theory a new algorithm by to Takakazu Satoh.
• On 5 and 7 Descents for Elliptic Curves - Tom Fisher\\'s Ph.D. thesis (Cambridge, 2000) in DVI and PS format.
• Elliptic Curves Handout - Syllabus and detailed reading list by Miles Reid, elliptic curves and elliptic curves and modular forms modular forms University of Warwick.
• Modular Forms Course - Notes of a 1996 Berkeley course of Ken number theory Ribet\'s on modular forms and Hecke operators.
• A Proof of the Full Shimura-Taniyama-Weil Conjecture - Article by Henri Darmon on the completion of number theory the proof by Wiles, Breuil, Conrad, Diamond number theory and Taylor.[PDF]
• Rational Points on Elliptic Curves - A course by Jerrold Tunnell. An introduction to rational points on elliptic curves through examples.
• Iwasawa Theory of Elliptic Curves - Lecture notes and surveys by Ralph Greenberg, University number theory of elliptic curves and modular forms Washington (PS).
• Explicit Approaches to Modular Abelian Varieties - William Stein, Ph.D. thesis, Berkeley, 2000.
• Elliptical Curve Cryptography - Explains the difference between an elliptical curve and elliptic curves and elliptic curves and modular forms modular forms an ellipse. Discusses fields, applications, elliptic elliptic curves and modular forms curves and modular forms choosing a fixed point, and related topics.
• Elliptic Curves with H. A. Verrill - Lecture notes and resources by Helena Verrill, Louisiana State University, number theory 2004.
• History of Elliptic Curve Rank Records - A table up to rank 24 compiled by elliptic curves and modular forms Andrej Dujella.
• An Elementary Introduction to Elliptic Curves - By Len Charlap, David Robbins and Raymond Coley. elliptic curves and math modular forms Downloadable text in PostScript (.ps) format.
• ECMNET - The ECMNET Project to find large factors by number theory the elliptic curves and modular forms Elliptic Curve Method, mainly Cunningham numbers.
• ECDL Project - Elliptic Curve Discrete Logarithms Project. They solved ECC2K-108 in number theory April 2000. History and related papers.
• Recent Progress in the Theory of Elliptic Curves - An abstract to Henri Darmon\\'s and Bertolini\\'s work, elliptic curves and elliptic curves and modular forms modular forms which approaches a p-adic variant of the Birch elliptic elliptic curves and modular forms curves and modular forms - Swinnerton-Dyer conjecture, for curves of rank elliptic curves and modular forms higher elliptic curves and modular forms than one.
• Elliptic Divisibility Sequences - Articles and links, compiled by Graham Everest.
• Elliptic Curves II - Lecture notes by Johan P. Hansen.
• 14H52: Elliptic Curves - From the Known Math series.
• Mathematical Things - Tom Womack\\'s pages address many elliptic curve subjects, math including curves math of given rank and small conductor, math Mordell curves of large math rank, and interesting torsion math groups.
• Prime Values of Elliptic Divisibility Sequences - By Graham Everest.
• Elliptic Curves and Cryptology - Marc Joye\\'s list of elliptic curve resources includes number theory people, math books, and links. Many preprints are available number theory from the math site.
• Elliptic Functions and Elliptic Curves - Lecture notes by Jan Nekovář (PS/PDF).
• Joseph Silverman - Includes errata for his books Rational Points on math Elliptic Curves elliptic curves and modular forms and Advanced Topics in the Arithmetic math of Elliptic Curves.
• Elliptic Curves and Right Triangles - Slides (GIF) of lectures by Karl Rubin at elliptic curves and number theory modular forms Stanford University.
• Course Notes - Full notes as .dvi, .pdf, and .ps files math for all the advanced courses J. S. Milne math taught between 1986 and 1999.
• Torsion Points on Elliptic Curves - Elementary introduction and brief explanation of some well-known number theory results.

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