 Macaulay  Dave Bayer and Mike Stillman
Macauley is a computer algebra system for mathematical computations in algebraic geometry and commutative algebra. At its core is a carefully tuned implementation of Grobner basis methods for manipulating systems of polynomial equations. See also Macaulay
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 The Magma Computational Algebra System  Computational Algebra Group, University of Sydney
A system designed by the Computational Algebra Group, headed by Dr J. J. Cannon, in the School of Mathematics and Statistics at the University of Sydney, to solve computationally hard problems in algebra, number theory, geometry and combinatorics. Magma
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 Mathematical BBS (Mathematics)  Mathematics Dept., Univ. of Ferrara, Italy
Collections of resources: Associations, Departments, Disciplines, Journals, Industrial mathematics, the mathematician. Disciplines include: Algebra; Algebraic geometry; Analysis; Applied Mathematics; Categories; Combinatorics; Complex analysis; Computational
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 Mathematics 574  Selected Topics in Number Theory  Jerrold Tunnell; Rutgers University, NJ
An introduction to rational points on elliptic curves through examples of interesting elliptic curves. Download problem sets in dvi or postscript format.
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 The Mathematics of Fermat's Last Theorem  Charles Daney
A paper describing the math behind the proof, with links at each stage to related resources and suggestions for some recent books that provide more background. If you have read about number theory you know that Fermat's Last Theorem has been one of the
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 Mathematics Preprints & Publications  University of Southampton
Preprints and reprints of research in applied mathematics, operational research, statistics, and pure mathematics, including Martin J. Dunwoody's "A proof of the Poincaré conjecture," inspired by Hyam Rubinstein's algorithm for recognizing the
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 MathGuide  Lower Saxony State and University Library, Göttingen (SUB), Germany
An Internetbased subject gateway to scholarly relevant information in mathematics, with subject and source type catalogues, and a search engine. Resources are described and evaluated, new resources are continuously added, and already cataloged resources
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 The Modular Curves X_{0}(N)  Bas Edixhoven
Download a series of lectures in postscript format, given at the ICTP Summer school in August, 1997, on rational torsion of elliptic curves over number fields.
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 The Modular Forms Database  William Stein
A collection of tables related to modular forms, elliptic curves, and abelian varieties. With links to the WatkinsStein tables of elliptic curves; the Elliptic Curves Information Calculator; PARI & MAGMA (computer algebra) online calculators; links
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 The Moonshine Page  CICMA, Québec
The monster simple group, M, is the largest sporadic finite simple group. "Moonshine" is a term first coined by Conway and Norton in 1979 to describe the surprising and mysterious connections between M (and also other finite sporadic simple groups) and
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 Order  Kluwer Online
A journal on the theory of ordered sets and its applications. Order occurs throughout mathematics and especially in algebra, combinatorics, geometry, model theory, set theory and topology.
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 Phalanstère  Équipe de Combinatoire Algébrique, Université de MarnelaVallée
Research into the relations between algebra and combinatorics. Membres; Publications; Logiciels; Séminaire. In French.
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 A Proof of the Full ShimuraTaniyamaWeil Conjecture  Henri Darmon
Download an article in PDFformat on the completion of the proof by Wiles, Breuil, Conrad, Diamond and Taylor.
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 À propos d'Alexandre Grothendieck  Eric Dumas
Une entrevue avec Jean Giraud, avec des références.
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 Publications of François Morain
Links to papers on elliptic curves: Primality proving; Complex multiplication; Pseudoprimes; Elliptic curves over finite fields; Discrete logarithm over algebraic curves; Character sums; Miscellaneous. Also in French.
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 Pythagorean Triples  Math Forum, Ask Dr. Math FAQ
What is a Pythagorean triple? What do Pythagorean triples have to do with Fermat's Last Theorem?
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 Recent Progress in the Theory of Elliptic Curves  Henri Darmon
An abstract of Henri Darmon's and Bertolini's work, which approaches a padic variant of the Birch  SwinnertonDyer conjecture, for curves of rank higher than one.
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 Richard E. Borcherds
Preprints, papers, and the author's thesis, in HTML, plain TeX, dvi, and pdf formats; problem sheets for Lie algebras or Modular forms, and solutions to some problems in Hartshorne's book; tables of positive definite lattices and coefficients of some
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 Sara Billey
Sara Billey researches combinatorics, algebra, Lie theory, algebraic geometry and probability. Her papers on these topics may be downloaded in PostScript or gzipped PostScript format. The syllabi and problem sets for her undergraduate courses, i.e.
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 sarahmarie belcastro's home page  SarahMarie Belcastro
From one of the authors of Making Mathematics with Needlework: "I seem to have become a topological graph theorist while I wasn't looking. I am also interested in convex and combinatorial geometry, algebraic geometry, topology, algebra, the geometry of
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 Scientific Graphics Project  MSRI  David Hoffman; Mathematical Sciences Research Institute
A geometry catalogue of Minimal Surfaces (The Gauss Map, The Weierstrass Formula, Conformal Mapping, Stereographic Projection, and an extensive Minimal Surfaces Index); CMC Surfaces; Level Surfaces (Level Sets Approximating Minimal Surfaces, Curvature
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 SINGULAR  Greuel, Pfister, Schoenemann; Dept. of Mathematics, Univ. of Kaiserslautern
A computer algebra system for polynomial computations, with special emphasis on commutative algebra, algebraic geometry, and singularity theory.
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 Some Problems in Matroid Theory  Thomas Zaslavsky
Sources of problems compiled by Zaslavsky, and problems he's found interesting: Bonin's Projective Bound; Maximum rFlat; Covering And Packing by Flats. For general sources of information on matroid theory, see Matroid Miscellany.
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 Steiner Surfaces  Adam Coffman
Equations and graphics of Steiner surfaces: algebraic varieties with quadratic rational parametrizations. The classification includes quartic models of the projective plane, ruled cubics, and quadric surfaces. Steiner surface patches can be used in computer
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 Sundry Algebraic Geometry and Commutative Algebra Sites  B. Harbourne
A list of links to personal home pages of mathematicians working in algebraic geometry.
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 Tom's Mathematical Things  Tom Womack
Links to many elliptic curve subjects, including curves of given rank and small conductor, Mordell curves of large rank, and interesting torsion groups, from a secondyear postgraduate mathematician at the University of
Nottingham, supervised by John
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 VEE: The Visual Elements of Euclid  Ralph Abraham
The Euclid Project is an exfoliation of the Elements of Euclid, the most important math text of all time. It will encompass several books, a CDROM, and an educational environment on the World Wide Web. Its components are: The Visual Elements of Euclid
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 WebPisces  Gallery of Interactive Geometry, Geometry Center
A Webbased interface to the Pisces program that allows you to compute implicitly defined curves in the plane. Choose from several predefined functions and modify their parameters and domains. Pisces is a Platform for Implicit Surfaces and Curves and
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 The Winning Voting System (Math Chat)  Frank Morgan, MAA Online
Results submitted to the challenge: What do you think is the best voting system among three or more candidates? Joseph DeVincentis suggests a version of approval voting in which each voter has three choices: approval (+1), no opinion (0), or disapproval
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