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 DIRECTORY/Science/Tech/Math/Number Theory/Elliptic Curves and Modular Forms (65)
i014H52: Elliptic Curves - http://www.math.niu.edu/~rusin/known-math/index/14H52.html - From the Known Math series.
 
i0A 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.
 
i0An 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.
 
i0Arithmetic of Cuves - http://math.scu.edu/~eschaefe/nt.html - Papers and surveys by Ed Schaefer.
 
i0Bibliography 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.
 
i0Counting 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.
 
i0Course 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.
 
i0ECDL Project - http://pauillac.inria.fr/~harley/ecdl/ - Elliptic Curve Discrete Logarithms Project. They solved ECC2K-108 in April 2000. History and related papers.
 
i0ECMNET - http://www.loria.fr/~zimmerma/records/ecmnet.html - The ECMNET Project to find large factors by the Elliptic Curve Method, mainly Cunningham numbers.
 
i0Elliptic Curves - http://www.fermigier.com/fermigier/elliptic.html.en - Links to research papers maintained by Stéfane Fermigier.
 
i0Elliptic Curves Handout - http://www.maths.warwick.ac.uk/~miles/MA426/ - Syllabus and detailed reading list by Miles Reid, University of Warwick.
 
i0Elliptic Curves II - http://home.imf.au.dk/matjph/Ell-E99.html - Lecture notes by Johan P. Hansen.
 
i0Elliptic 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.
 
i0Elliptic Curves and Elliptic Functions - http://cgd.best.vwh.net/home/flt/flt03.htm - Introductory notes by Charles Daney.
 
i0Elliptic 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.
 
i0Elliptic Curves and Right Triangles - http://math.stanford.edu/~rubin/lectures/sumo/ - Slides (GIF) of lectures by Karl Rubin at Stanford University.
 
i0Elliptic Curves and Their Applications to Cryptography - http://www.lix.polytechnique.fr/Labo/Andreas.Enge/buch/buch/buch.html - Web text by Andreas Enge.
 
i0Elliptic 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.
 
i0Elliptic Divisibility Sequences - http://www.mth.uea.ac.uk/~h090/EDS.html - Articles and links, compiled by Graham Everest.
 
i0Elliptic Functions and Elliptic Curves - http://www.math.jussieu.fr/~nekovar/co/ln/el/ - Lecture notes by Jan Nekovář (PS/PDF).
 
i0Elliptical 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.
 
i0Explicit Approaches to Modular Abelian Varieties - http://modular.fas.harvard.edu/papers/explicit/ - William Stein, Ph.D. thesis, Berkeley, 2000.
 
i0History of Elliptic Curve Rank Records - http://www.math.hr/~duje/tors/rankhist.html - A table up to rank 24 compiled by Andrej Dujella.
 
i0Iwasawa Theory of Elliptic Curves - http://www.math.washington.edu/~greenber/research.html - Lecture notes and surveys by Ralph Greenberg, University of Washington (PS).
 
i0Joseph 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.
 
i0Kolyvagin 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.
 
i0Mathematical 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.
 
i0Modular 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.
 
i0Modular Forms and Hecke Operators - http://modular.fas.harvard.edu/MF.html - Notes by William A. Stein of a course by Ken Ribet.
 
i0On 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.
 
i0Papers by Richard Borcherds - http://math.berkeley.edu/~reb/papers/ - Including proof of the Moonshine Conjecture (TeX,DVI,PDF).
 
i0Prime Values of Elliptic Divisibility Sequences - http://www.mth.uea.ac.uk/~h090/primeEDS.html - By Graham Everest.
 
i0Rational 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.
 
i0Recent 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.
 
i0Richard Taylor - http://www.math.harvard.edu/~rtaylor/ - Publications including the joint paper with Andrew Wiles which completed the proof of Fermat's Last Theorem.
 
i0The 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].
 
i0Torsion Points on Elliptic Curves - http://mat.uab.cat/~xarles/elliptic.html - Elementary introduction and brief explanation of some well-known results.
 
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