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Elliptic_Curves_and_Modular_Forms
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Joseph Silverman - Includes errata for his books Rational Points on Elliptic Curves and Advanced Topics in the Arithmetic of Elliptic Curves.
 
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.
 
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 Curves X_0(N) - A series of lectures by Bas Edixhoven at the ICTP Summer school on rational torsion of elliptic curves over number fields.
 
Modular Forms Course - Notes of a 1996 Berkeley course of Ken Ribet's on modular forms and Hecke operators.
 
Modular Forms Example Sheets - From a course on modular forms.
 
Modularity of Elliptic Curves and Beyond - Workshop, MSRI Berkeley, 6-10 December 1999.
 
Monstrous Moonshine - the surprising and mysterious connections between the monster (and also other finite sporadic simple groups) and modular functions.
 
Papers by R. E. Borcherds - Including proof of the Moonshine Conjecture (TeX, DVI, PDF).
 
Publications of famous François Morain on Primality. - A web page describing the various publications of F. Morain
 
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 p-adic variant of the Birch - Swinnerton-Dyer conjecture, for curves of rank higher than one.
 
Satoh-FGH algorithm - Gonzalez and Harley explain Professor Satoh's elliptic curve point counting algorithm.
 
The Birch and Swinnerton-Dyer Conjecture - A Clay Mathematics Institute Prize problem, with PDF description by Andrew Wiles. The conjecture addresses the problem of enumerating rational points, such as on elliptic curves.
 
 

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