| 14H52: Elliptic Curves: From the Known Math series. |
| A Proof of the Full Shimura-Taniyama-Weil Conjecture: PDF-format article by Henri Darmon on the completion of the proof by Wiles, Breuil, Conrad, Diamond and Taylor. |
| Algorithms for Modular Elliptic Curves: Book by John Cremona, with introduction, tables and software. |
| An Elementary Introduction to Elliptic Curves: By Len Charlap, David Robbins and Raymond Coley. Downloadable text in PostScript (.ps) format. |
| Arithmetic of Cuves: Papers and surveys by Ed Schaefer. |
| Bibliography for Automorphic and Modular Forms, L-Functions, Representations, and Number Theory: Compiled by Paul Garrett, 1996. |
| 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 ECC2K-108 in April 2000. History and related papers. |
| ECMNET: The ECMNET Project to find large factors by the Elliptic Curve Method, mainly Cunningham numbers. |
| Elliptic Curves: Links to research papers maintained by Stéfane Fermigier. |
| Elliptic Curves and Cryptology: Marc Joye's list of elliptic curve resources includes people, books, and links. Many preprints are available from the site. |
| 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 and Right Triangles: Slides (GIF) of lectures by Karl Rubin at Stanford University. |
| Elliptic Curves and Their Applications to Cryptography: Web text by Andreas Enge. |
| 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 Divisibility Sequences: Articles and links, compiled by Graham Everest. |
| 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 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 Forms and Hecke Operators: Notes by William A. Stein of a course by Ken Ribet. |
| 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. |
| Monstrous Moonshine: the surprising and mysterious connections between the monster (and also other finite sporadic simple groups) and modular functions. |
| Moonshine Bibliography: Books and papers relating to the Conway-Norton-Thompson Moonshine conjecture, proved by Richard Borcherds. |
| 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). |
| Prime Values of Elliptic Divisibility Sequences: By Graham Everest. |
| 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. |
| Richard Taylor: Publications including the joint paper with Andrew Wiles which completed the proof of Fermat's Last Theorem. |
| The Birch and Swinnerton-Dyer Conjecture: A Clay Mathematics Institute Prize problem, with description by Andrew Wiles [PDF] and lecture by Fernando Rodriguez-Villegas [.ram]. |
| Torsion Points on Elliptic Curves: Elementary introduction and brief explanation of some well-known results. |
Classical
