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Elliptic Curves and Modular Forms (65)
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Elliptic Curves
· Links to research papers maintained by Stéfane Fermigier.
Elliptic Curves and Formal Groups
· cached · Lecture notes from a seminar J. Lubin, J.-P. Serre and J. Tate.
Pari Reference Cards
· cached · On the home page of Joseph Silverman.
ECMNET
· cached · Elliptic curve factoring software.
Course Notes
· cached · Full notes as .dvi, .pdf, and .ps files for all the advanced courses J. S. Milne taught between 1986 and 1999.
Elliptic Curves and Cryptology
· Marc Joye's list of elliptic curve resources includes people, books, and links. Many preprints are available from the site.
Mathematical Things
· cached · 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.
ECDL Project
· cached · Elliptic Curve Discrete Logarithms Project. They solved ECC2K-108 in April 2000. History and related papers.
Elliptic Curves II
· cached · Lecture notes by Johan P. Hansen.
Rational Points on Elliptic Curves
· cached · A course by Jerrold Tunnell. An introduction to rational points on elliptic curves through examples.
Elliptic Curves and Right Triangles
· Slides (GIF) of lectures by Karl Rubin at Stanford University.
Papers by Richard Borcherds
· cached · Including proof of the Moonshine Conjecture (TeX,DVI,PDF).
Elliptic Curves Handout
· Syllabus and detailed reading list by Miles Reid, University of Warwick.
14H52: Elliptic Curves
· cached · From the Known Math series.
A Proof of the Full Shimura-Taniyama-Weil Conjecture
· cached · Article by Henri Darmon on the completion of the proof by Wiles, Breuil, Conrad, Diamond and Taylor.
Recent Progress in the Theory of Elliptic Curves
· An abstract to Henri Darmon's and Bertolini's work, which approaches a p-adic variant of the Birch - Swinnerton-Dyer conjecture, for curves of rank higher than one.
Bibliography for Automorphic and Modular Forms, L-Functions, Representations, and Number Theory
· cached · Compiled by Paul Garrett, 1996.
Prime Values of Elliptic Divisibility Sequences
· cached · By Graham Everest.
Modular Forms Course
· Notes of a 1996 Berkeley course of Ken Ribet's on modular forms and Hecke operators.
Elliptic Divisibility Sequences
· cached · Articles and links, compiled by Graham Everest.
Explicit Approaches to Modular Abelian Varieties
· William Stein, Ph.D. thesis, Berkeley, 2000.
Elliptic Curves and Elliptic Functions
· cached · Introductory notes by Charles Daney.
Iwasawa Theory of Elliptic Curves
· cached · Lecture notes and surveys by Ralph Greenberg, University of Washington (PS).
On 5 and 7 Descents for Elliptic Curves
· cached · Tom Fisher's Ph.D. thesis (Cambridge, 2000) in DVI and PS format.
Modular Forms and Hecke Operators
· Notes by William A. Stein of a course by Ken Ribet.
Richard Taylor
· cached · Publications including the joint paper with Andrew Wiles which completed the proof of Fermat's Last Theorem.
Arithmetic of Cuves
· cached · Papers and surveys by Ed Schaefer.
An Elementary Introduction to Elliptic Curves
· By Len Charlap, David Robbins and Raymond Coley. Downloadable text in PostScript (.ps) format.
History of Elliptic Curve Rank Records
· cached · A table up to rank 24 compiled by Andrej Dujella.
Elliptical Curve Cryptography
· cached · Explains the difference between an elliptical curve and an ellipse. Discusses fields, applications, choosing a fixed point, and related topics.
Elliptic Curves and Their Applications to Cryptography
· cached · Web text by Andreas Enge.
Counting Points on Elliptic Curves
· cached · 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.
The Birch and Swinnerton-Dyer Conjecture
· cached · A Clay Mathematics Institute Prize problem, with description by Andrew Wiles [PDF] and lecture by Fernando Rodriguez-Villegas [.ram].
Elliptic Functions and Elliptic Curves
· cached · Lecture notes by Jan Nekovář (PS/PDF).
Kolyvagin Seminar
· A semester-long seminar studying Kolyvagin's application of Euler systems to elliptic curves. Includes extensive lecture notes in PostScript or DVI format.
Elliptic Curves with H. A. Verrill
· cached · Lecture notes and resources by Helena Verrill, Louisiana State University, 2004.
Torsion Points on Elliptic Curves
· cached · Elementary introduction and brief explanation of some well-known results.
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