Google Directory - Science > Math > Number Theory > Elliptic Curves and Modular Forms



Directory

Directory Help
Search only in Elliptic Curves and Modular FormsSearch the Web

Elliptic Curves and Modular Forms

Science > Math > Number Theory > Elliptic Curves and Modular Forms

Go to Directory Home

Categories

Software (10)
Tables (20)

Web Pages

View in Google PageRank order Viewing in alphabetical order

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

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.

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.

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

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.

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.

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.

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

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

Elliptic Curves - http://www.fermigier.com/fermigier/elliptic.html.en
Links to research papers maintained by Stéfane Fermigier.

Elliptic Curves and Cryptology - http://www.geocities.com/marcjoye/biblio_ell.html
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 - http://cgd.best.vwh.net/home/flt/flt03.htm
Introductory notes by Charles Daney.

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.

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

Elliptic Curves and Their Applications to Cryptography - http://www.lix.polytechnique.fr/Labo/Andreas.Enge/buch/buch/buch.html
Web text by Andreas Enge.

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

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

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.

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

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

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.

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

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

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

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.

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.

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.

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

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.

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.

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

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

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.

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.

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.

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].

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