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the entire directory
only in Number_Theory/Elliptic_Curves_and_Modular_Forms
Description
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Science
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Math
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Number Theory
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Elliptic Curves and Modular Forms
(51)
Software
(5)
Tables
(14)
See also:
Science: Math: Number Theory: Diophantine Equations: Fermat's Last Theorem
(12)
Science: Math: Number Theory: Factoring
(37)
Science: Math: Number Theory: Prime Numbers: Primality Tests: Primality Proving
(11)
14H52: Elliptic Curves
 From the Known Math series.
Algorithms for Modular Elliptic Curves
 Book by John Cremona, with introduction, tables and software.
Arithmetic of Cuves
 Papers and surveys by Ed Schaefer.
Bibliography for Automorphic and Modular Forms, LFunctions, Representations, and Number Theory
 Compiled by Paul Garrett, 1996.
The Birch and SwinnertonDyer Conjecture
 A Clay Mathematics Institute Prize problem, with description by Andrew Wiles [PDF] and lecture by Fernando RodriguezVillegas [.ram].
Counting Points on Elliptic Curves
 Robert Harley, Pierrick Gaudry, François Morain and Mireille Fouquet have established new records for point counting in characteristic 2, using a new algorithm by to Takakazu Satoh.
Course Notes
 Full notes as .dvi, .pdf, and .ps files for all the advanced courses J. S. Milne taught between 1986 and 1999.
ECDL Project
 Elliptic Curve Discrete Logarithms Project. They solved ECC2K108 in April 2000. History and related papers.
ECMNET
 The ECMNET Project to find large factors by the Elliptic Curve Method, mainly Cunningham numbers.
An Elementary Introduction to Elliptic Curves
 By Len Charlap, David Robbins and Raymond Coley. Downloadable text in PostScript (.ps) format.
Elliptic Curves and Elliptic Functions
 Introductory notes by Charles Daney.
Elliptic Curves and Formal Groups
 Lecture notes from a seminar J. Lubin, J.P. Serre and J. Tate.
Elliptic Curves Handout
 Syllabus and detailed reading list by Miles Reid, University of Warwick.
Elliptic Curves II
 Lecture notes by Johan P. Hansen.
Elliptic Curves with H. A. Verrill
 Lecture notes and resources by Helena Verrill, Louisiana State University, 2004.
Elliptic Functions and Elliptic Curves
 Lecture notes by Jan Nekovář (PS/PDF).
Elliptical Curve Cryptography
 Explains the difference between an elliptical curve and an ellipse. Discusses fields, applications, choosing a fixed point, and related topics.
Explicit Approaches to Modular Abelian Varieties
 William Stein, Ph.D. thesis, Berkeley, 2000.
History of Elliptic Curve Rank Records
 A table up to rank 24 compiled by Andrej Dujella.
Iwasawa Theory of Elliptic Curves
 Lecture notes and surveys by Ralph Greenberg, University of Washington (PS).
Joseph Silverman
 Includes errata for his books Rational Points on Elliptic Curves and Advanced Topics in the Arithmetic of Elliptic Curves.
Kolyvagin Seminar
 A semesterlong seminar studying Kolyvagin's application of Euler systems to elliptic curves. Includes extensive lecture notes in PostScript or DVI format.
Mathematical Things
 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.
Modular Forms and Hecke Operators
 Notes by William A. Stein of a course by Ken Ribet.
Modular Forms Example Sheets
 From a course on modular forms.
On 5 and 7 Descents for Elliptic Curves
 Tom Fisher's Ph.D. thesis (Cambridge, 2000) in DVI and PS format.
Papers by Richard Borcherds
 Including proof of the Moonshine Conjecture (TeX,DVI,PDF).
A Proof of the Full ShimuraTaniyamaWeil Conjecture
 Article by Henri Darmon on the completion of the proof by Wiles, Breuil, Conrad, Diamond and Taylor. [PDF]
Rational Points on Elliptic Curves
 A course by Jerrold Tunnell. An introduction to rational points on elliptic curves through examples.
Recent Progress in the Theory of Elliptic Curves
 An abstract to Henri Darmon's and Bertolini's work, which approaches a padic variant of the Birch  SwinnertonDyer conjecture, for curves of rank higher than one.
Richard Taylor
 Publications including the joint paper with Andrew Wiles which completed the proof of Fermat's Last Theorem.
Torsion Points on Elliptic Curves
 Elementary introduction and brief explanation of some wellknown results.
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Last update: June 28, 2014 at 5:24:03 UTC 
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