Open Directory - Science: Math: Number Theory: Elliptic Curves and Modular Forms
See also: - From the Known Math series. - Article by Henri Darmon on the completion of the proof by Wiles, Breuil, Conrad, Diamond and Taylor. [PDF] - By Len Charlap, David Robbins and Raymond Coley. Downloadable text in PostScript (.ps) format. - Papers and surveys by Ed Schaefer. - Compiled by Paul Garrett, 1996. - 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. - Full notes as .dvi, .pdf, and .ps files for all the advanced courses J. S. Milne taught between 1986 and 1999. - Elliptic Curve Discrete Logarithms Project. They solved ECC2K-108 in April 2000. History and related papers. - The ECMNET Project to find large factors by the Elliptic Curve Method, mainly Cunningham numbers. - Syllabus and detailed reading list by Miles Reid, University of Warwick. - Lecture notes by Johan P. Hansen. - Lecture notes from a seminar J. Lubin, J.-P. Serre and J. Tate. - Lecture notes and resources by Helena Verrill, Louisiana State University, 2004. - Articles and links, compiled by Graham Everest. - Lecture notes by Jan Nekovář (PS/PDF). - Explains the difference between an elliptical curve and an ellipse. Discusses fields, applications, choosing a fixed point, and related topics. - A table up to rank 24 compiled by Andrej Dujella. - Lecture notes and surveys by Ralph Greenberg, University of Washington (PS). - Includes errata for his books Rational Points on Elliptic Curves and Advanced Topics in the Arithmetic of Elliptic Curves. - A semester-long seminar studying Kolyvagin's application of Euler systems to elliptic curves. Includes extensive lecture notes in PostScript or DVI format. - 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. - Tom Fisher's Ph.D. thesis (Cambridge, 2000) in DVI and PS format. - Including proof of the Moonshine Conjecture (TeX,DVI,PDF). - By Graham Everest. - A course by Jerrold Tunnell. An introduction to rational points on elliptic curves through examples. - 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. - Publications including the joint paper with Andrew Wiles which completed the proof of Fermat's Last Theorem. - A Clay Mathematics Institute Prize problem, with description by Andrew Wiles [PDF] and lecture by Fernando Rodriguez-Villegas [.ram]. - Elementary introduction and brief explanation of some well-known results.
