Elliptic Curves And Modular Forms

Elliptic Curves II - http://home.imf.au.dk/matjph/Ell-E99.html
Lecture notes by Johan P. Hansen.

On 5 and 7 Descents for Elliptic Curves - http://www.dpmms.cam.ac.uk/~taf1000/thesis.html
Tom Fisher's Ph.D. thesis (Cambridge, 2000) in DVI and PS format.

Elliptic Curves and Elliptic Functions - http://cgd.best.vwh.net/home/flt/flt03.htm
Introductory notes by Charles Daney.

Joseph Silverman - http://www.math.brown.edu/~jhs/
Includes errata for his books Rational Points on Elliptic Curves and Advanced Topics in the Arithmetic of Elliptic Curves.

Recent Progress in the Theory of Elliptic Curves - http://www.cms.math.ca/CMS/Events/winter98/w98-abs/node2.html
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.

Iwasawa Theory of Elliptic Curves - http://www.math.washington.edu/~greenber/research.html
Lecture notes and surveys by Ralph Greenberg, University of Washington (PS).

Richard Taylor - http://www.math.harvard.edu/~rtaylor/
Publications including the joint paper with Andrew Wiles which completed the proof of Fermat's Last Theorem.

Modular Forms Course - http://modular.fas.harvard.edu/Tables/Notes/
Notes of a 1996 Berkeley course of Ken Ribet's on modular forms and Hecke operators.

Explicit Approaches to Modular Abelian Varieties - http://modular.fas.harvard.edu/papers/explicit/
William Stein, Ph.D. thesis, Berkeley, 2000.

Modular Forms and Hecke Operators - http://modular.fas.harvard.edu/MF.html
Notes by William A. Stein of a course by Ken Ribet.

Elliptic Curves Handout - http://www.warwick.ac.uk/~masda/MA426/
Syllabus and detailed reading list by Miles Reid, University of Warwick.

Papers by Richard Borcherds - http://math.berkeley.edu/~reb/papers/
Including proof of the Moonshine Conjecture (TeX,DVI,PDF).

Kolyvagin Seminar - http://math.berkeley.edu/~osserman/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 and Right Triangles - http://math.stanford.edu/~rubin/lectures/sumo/
Slides (GIF) of lectures by Karl Rubin at Stanford University.

Elliptical Curve Cryptography - http://www.cryptoman.com/elliptic.htm
Explains the difference between an elliptical curve and an ellipse. Discusses fields, applications, choosing a fixed point, and related topics.

Mathematical Things - http://tom.womack.net/maths/maths.htm
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.

Rational Points on Elliptic Curves - http://www.math.rutgers.edu/~tunnell/math574.html
A course by Jerrold Tunnell. An introduction to rational points on elliptic curves through examples.

ECMNET - http://www.loria.fr/~zimmerma/records/ecmnet.html
The ECMNET Project to find large factors by the Elliptic Curve Method, mainly Cunningham numbers.

A Proof of the Full Shimura-Taniyama-Weil Conjecture - http://www.ams.org/notices/199911/comm-darmon.pdf
Article by Henri Darmon on the completion of the proof by Wiles, Breuil, Conrad, Diamond and Taylor.

Elliptic Divisibility Sequences - http://www.mth.uea.ac.uk/~h090/EDS.html
Articles and links, compiled by Graham Everest.

Prime Values of Elliptic Divisibility Sequences - http://www.mth.uea.ac.uk/~h090/primeEDS.html
By Graham Everest.

14H52: Elliptic Curves - http://www.math.niu.edu/~rusin/known-math/index/14H52.html
From the Known Math series.

ECDL Project - http://pauillac.inria.fr/~harley/ecdl/
Elliptic Curve Discrete Logarithms Project. They solved ECC2K-108 in April 2000. History and related papers.

The Birch and Swinnerton-Dyer Conjecture - http://www.claymath.org/millennium/Birch_and_Swinnerton-Dyer_Conjecture/
A Clay Mathematics Institute Prize problem, with description by Andrew Wiles [PDF] and lecture by Fernando Rodriguez-Villegas [.ram].

Elliptic Curves with H. A. Verrill - http://www.math.lsu.edu/~verrill/teaching/math7280/index.html
Lecture notes and resources by Helena Verrill, Louisiana State University, 2004.

Bibliography for Automorphic and Modular Forms, L-Functions, Representations, and Number Theory - http://www.math.umn.edu/~garrett/m/b/bib.html
Compiled by Paul Garrett, 1996.

Arithmetic of Cuves - http://math.scu.edu/~eschaefe/nt.html
Papers and surveys by Ed Schaefer.

Course Notes - http://www.jmilne.org/math/CourseNotes/
Full notes as .dvi, .pdf, and .ps files for all the advanced courses J. S. Milne taught between 1986 and 1999.

Elliptic Curves and Formal Groups - http://www.ma.utexas.edu/users/voloch/lst.html
Lecture notes from a seminar J. Lubin, J.-P. Serre and J. Tate.

An Elementary Introduction to Elliptic Curves - http://www.idaccr.org/reports/reports.html
By Len Charlap, David Robbins and Raymond Coley. Downloadable text in PostScript (.ps) format.

Elliptic Functions and Elliptic Curves - http://www.math.jussieu.fr/~nekovar/co/ln/el/
Lecture notes by Jan Nekovář (PS/PDF).

Counting Points on Elliptic Curves - http://www.math.jussieu.fr/~fouquet/elliptic.html
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.

History of Elliptic Curve Rank Records - http://www.math.hr/~duje/tors/rankhist.html
A table up to rank 24 compiled by Andrej Dujella.

Torsion Points on Elliptic Curves - http://mat.uab.cat/~xarles/elliptic.html
Elementary introduction and brief explanation of some well-known results.

Help build the largest human-edited directory on the web.

Submit a Site - Open Directory Project - Become an Editor

Domain Tools analysis of DMOZ top listed domains

DomainTools.com

Elliptic Curves And Modular Forms