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Top>Science>Math>Number Theory>Elliptic Curves and Modular Forms> > Software > Tables 14H52: Elliptic Curves From the Known Math series. (http://www.math.niu.edu/~rusin/known-math/index/14H52.html) 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. (http://www.ams.org/notices/199911/comm-darmon.pdf) Algorithms for Modular Elliptic Curves Book by John Cremona, with introduction, tables and software. (http://www.maths.nott.ac.uk/personal/jec/book/chapter1.html) An Elementary Introduction to Elliptic Curves By Len Charlap, David Robbins and Raymond Coley. Downloadable text in PostScript (.ps) format. (http://www.idaccr.org/reports/reports.html) Arithmetic of Cuves Papers and surveys by Ed Schaefer. (http://math.scu.edu/~eschaefe/nt.html) Bibliography for Automorphic and Modular Forms, L-Functions, Representations, and Number Theory Compiled by Paul Garrett, 1996. (http://www.math.umn.edu/~garrett/m/b/bib.html) 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 due to Takakazu Satoh. (http://www.lix.polytechnique.fr/Labo/Mireille.Fouquet/ellipt) Course Notes Full notes as .dvi, .pdf, and .ps files for all the advanced courses J. S. Milne taught between 1986 and 1999. (http://www.jmilne.org/math/CourseNotes/) David Pollack The author's thesis "Explicit Hecke Actions on Modular Forms, Harvard, 1998" is available here in DVI form. (http://www.math.ohio-state.edu/~pollack/) Douglas Ulmer's Publications and Preprints Mainly on elliptic curves and modular forms. (http://swc.math.arizona.edu/~ulmer/research/papers.html) ECDL Project Elliptic Curve Discrete Logarithms Project. They solved ECC2K-108 in April 2000. History and related papers. (http://pauillac.inria.fr/~harley/ecdl/) ECMNET The ECMNET Project to find large factors by the Elliptic Curve Method, mainly Cunningham numbers. (http://www.loria.fr/~zimmerma/records/ecmnet.html) Elliptic Curves Links to research papers maintained by Stéfane Fermigier. (http://www.fermigier.com/fermigier/elliptic.html.en) Elliptic Curves and Cryptology Marc Joye's list of elliptic curve resources includes people, books, and links. Many preprints are available from the site. (http://www.geocities.com/marcjoye/biblio_ell.html) Elliptic Curves and Elliptic Functions Introductory notes by Charles Daney. (http://cgd.best.vwh.net/home/flt/flt03.htm) Elliptic Curves and Formal Groups Lecture notes from a seminar J. Lubin, J.-P. Serre and J. Tate. (http://www.ma.utexas.edu/users/voloch/lst.html) Elliptic Curves and Right Triangles Slides (GIF) of lectures by Karl Rubin at Stanford University. (http://math.stanford.EDU/~rubin/lectures/sumo/) Elliptic Curves Handout Syllabus and detailed reading list by Miles Reid, University of Warwick. (http://www.maths.warwick.ac.uk/~miles/MA426/) Elliptic Curves II Lecture notes by Johan P. Hansen. (http://home.imf.au.dk/matjph/Ell-E99.html) Elliptic Divisibility Sequences Articles and links, compiled by Graham Everest. (http://www.mth.uea.ac.uk/~h090/EDS.html) Explicit Approaches to Modular Abelian Varieties William Stein, Ph.D. thesis, Berkeley, 2000. (http://modular.fas.harvard.edu/papers/explicit/) Iwasawa Theory of Elliptic Curves Lecture notes and surveys by Ralph Greenberg, University of Washington (PS). (http://www.math.washington.edu/~greenber/research.html) Joseph Silverman Includes errata for his books Rational Points on Elliptic Curves and Advanced Topics in the Arithmetic of Elliptic Curves. (http://www.math.brown.edu/~jhs/) 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. (http://www-math.mit.edu/~osserman/seminar/) 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. (http://tom.womack.net/maths/maths.htm) Matt Baker's Papers Mainly on elliptic curves. (http://www.math.berkeley.edu/~baker/papers.html) 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. (http://www.maths.univ-rennes1.fr/~edix/cours/trieste.html) Modular Forms and Hecke Operators Notes by William A. Stein of a course by Ken Ribet. (http://modular.fas.harvard.edu/MF.html) Modular Forms Course Notes of a 1996 Berkeley course of Ken Ribet's on modular forms and Hecke operators. (http://modular.fas.harvard.edu/Tables/Notes/) Modular Forms Example Sheets From a course on modular forms. (http://www.math.berkeley.edu/~reb/modularforms/) Modularity of Elliptic Curves and Beyond Workshop, MSRI Berkeley, 6-10 December 1999. (http://www.msri.org/activities/events/9900/hottopics/) Monstrous Moonshine the surprising and mysterious connections between the monster (and also other finite sporadic simple groups) and modular functions. (http://cicma.concordia.ca/faculty/cummins/moonshine.html) Moonshine Bibliography Books and papers relating to the Conway-Norton-Thompson Moonshine conjecture, proved by Richard Borcherds. (http://cicma.concordia.ca/faculty/cummins/moonshine.refs.htm) On 5 and 7 Descents for Elliptic Curves Tom Fisher's Ph.D. thesis (Cambridge, 2000) in DVI and PS format. (http://www.dpmms.cam.ac.uk/~taf1000/thesis.html) Papers by Richard Borcherds Including proof of the Moonshine Conjecture (TeX,DVI,PDF). (http://www.math.berkeley.edu/~reb/papers/) Prime Values of Elliptic Divisibility Sequences By Graham Everest. (http://www.mth.uea.ac.uk/~h090/primeEDS.html) Publications of François Morain Thesis and papers on elliptic curves, especially primality proofs and point counting. (http://ultralix.polytechnique.fr/~morain/Articles/articles.e) Rational Points on Elliptic Curves A course by Jerrold Tunnell. An introduction to rational points on elliptic curves through examples. (http://www.math.rutgers.edu/~tunnell/math574.html) 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. (http://www.cms.math.ca/CMS/Events/winter98/w98-abs/node2.htm) Richard Taylor Publications including the joint paper with Andrew Wiles which completed the proof of Fermat's Last Theorem. (http://www.math.harvard.edu/~rtaylor/) Satoh-FGH algorithm Gonzalez and Harley explain Professor Satoh's elliptic curve point counting algorithm. (http://argote.ch/Research.html) 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]. (http://www.claymath.org/Millennium_Prize_Problems/Birch_and_) Torsion Points on Elliptic Curves Elementary introduction and brief explanation of some well-known results. (http://mat.uab.es/xarles/elliptic/elliptic.html)		Country Selector · DE · ES · FR · NL · US   summer school · Looking for Summer School? 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