 A 27Vertex Graph That Is VertexTransitive and EdgeTransitive But Not 1Transitive [PDF]  Peter Doyle
A paper describing a 27vertex graph that is vertextransitive and edgetransitive but not 1transitive. While all vertices and edges of the graph are similar, there are no edgereversing automorphisms. PostScript, source, and PDF picture are available
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 Advanced Geometry  Math Forum
Links to some of the best Internet resources for advanced geometry: Web sites, software, Internet projects, publications, and public forums for discussion.
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 AG Algebraic Geometry (Front for the Mathematics ArXiv)  Univ. of California, Davis
Algebraic Geometry preprints, from the U.C. Davis front end for the xxx.lanl.gov ePrint archive, a major site for mathematics preprints that has incorporated many formerly independent specialist archives. Search by keyword or browse by topic.
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 Algebraic Curves  Silvio Levy; The Geometry Center
Curves that can be given in implicit form as f(x,y)=0, where f is a polynomial, are called algebraic. This site provides an overview, with illustrations.
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 Algebraic Geometry  Peter Stiller; Dept. of Mathematics & Computer Science, Texas A&M Univ.
This page answers the question, "What is Algebraic Geometry?"  a subject with historical roots in analytic geometry, concerned with the geometry of the solutions of a system of polynomial equations. With a link to a bibliography of related publications.
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 Algebraic Number Theory and Elliptic Curves  Ghitza, Osserman; Massachusetts Institute of Technology
A semesterlong seminar giving a rapid introduction to algebraic number theory and elliptic curves. Topics: Dedekind domains, rings of integers, schemetheoretic curves, finite morphisms thereof, splitting and ramification, the Tchebotarov density theorem
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 Algebraic Number Theory Archives  Boston, Grayson
Preprints about algebraic number theory and arithmetic geometry are accepted in electronic form for storage until publication. There are instructions for authors who wish to submit preprints to the archives and for for joining the mailing list (members
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 Algorithms for Modular Elliptic Curves  John Cremona
View parts of the second edition of the book, with introduction, tables and software. Download the errata list for the second edition, available as a dvi file or a postscript file.
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 Arbeitsgruppe Bachem/Schrader  University of Köln
A working group of the Center for Parallel Computing (ZPR) at Köln. Site includes a list of members and contact address; informative writeups on its projects, some in English. Topics include: Basic Research (meaning "pure" as opposed to "applied");
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 arXiv.org ePrint archive  Los Alamos National Laboratory (LANL)
A major site for mathematics preprints that has incorporated many formerly independent specialist archives including alggeom, functan, dgga, qalg, autofms, cdhg, MAGNUS, Several Complex Variables, Logic Eprints, Commutative Algebra, Dynamical Systems,
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 Automated Deduction  William McCune
Research on applications of automated deduction to problems in abstract algebra and algebraic geometry, algorithms and strategies for searching for proofs and for counterexamples, highperformance implementation of automated deduction algorithms, and
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 Basic Geometry of Voting  Donald G. Saari
A book that offers a large number of new results about voting theory, its emphasis purposely placed on three candidate settings so that the book can be read by almost everyone. (With four or more candidates, the results need more advanced mathematical
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 Bibliography for Automorphic and Modular Forms, LFunctions, Representations, and Number Theory  Paul Garrett
A 1996 bibliography compiled for the author's Ph.D. students at the University of Minnesota.
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 Books: Professional & Technical: Professional Science: Mathematics  Amazon.com
Browse bestselling math books from the Professional and Technical Bookstore at Amazon.com, in such categories as Applied; Chaos & Systems; Geometry & Topology; Mathematical Analysis; Mathematical Physics; Number Systems; Pure Mathematics; Transformations;
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 Categorical Geometry  Zhaohua Luo
See a brief tour of categorical geometry, which studies the geometric properties of unitary categories. The categorical approach to algebraic geometry was initiated by Yves Diers in his pioneer book Categories of Commutative Algebras (Oxford University
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 Counting Points on Elliptic Curves  Fouquet, Harley, Gaudry, Morain
The authors, Ph.D. students at the Laboratoire d'informatique de l'École polytechnique, Paris, have established new records for point counting in characteristic 2, using a new algorithm due to Takakazu Satoh.
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 Course Notes  J. S. Milne
Full course notes in dvi, pdf, and postscript formats for all the advanced courses J. S. Milne taught at the University of Michigan between 1986 and 1999: Group Theory; Fields and Galois Theory; Algebraic Number Theory; Class Field Theory; Modular Functions
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 David Pollack
Download the author's thesis, "Explicit Hecke Actions on Modular Forms" (Harvard, 1998) in DVI format.
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 Diophantine geometry in characteristic p: a survey  José Felipe Voloch
An article that appeared in Arithmetic Geometry, F. Catanese, ed., Symposia Mathematica XXXVII, Cambridge Univ. Press, 1997, pp. 260278. Introduction; Curves; Abelian varieties and their subvarieties; Diophantine Approximation in characteristic p; Omitted
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 Discrete and Computational Geometry  SpringerVerlag
An international journal of mathematics and computer science that accepts research articles of high quality in discrete geometry and on the design and analysis of geometric algorithms; more specifically, DCG publishes papers on such topics as configurations
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 EAGER (European Algebraic Geometry Research Training Network)  Wolfram Decker
The members of EAGER are algebraic geometers in mathematical centres spreading among most European countries. These centres are grouped into twelve geographical nodes which are responsible for the management of joint research projects and for the training
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 The ECMNET Project  Charron, Daminelli, Granlund, Leyland, Zimmermann
The goal of the ECMNET Project is to find large factors using the elliptic curve method, mainly Cunningham numbers.
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 Elliptic Curve Discrete Logarithms (ECDL) Project  Robert Harley; 4K Associates
The Project has solved ECC2K108.
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 Elliptic Curves and Elliptic Functions  Charles Daney
From The Mathematics of Fermat's Last Theorem. With a glossary; contents include: What is an elliptic curve?; The group structure of an elliptic curve; Arithmetic on elliptic curves; Further basic concepts and results.
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 Elliptic Curves and Formal Groups  Lubin, Serre, Tate
Lecture notes from a seminar, part of the Lecture notes prepared in connection with the seminars held at the Summer Institute on Algebraic Geometry, Whitney Estate, Woods Hole, Massachusetts, July 6July 31, 1964.
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 Elliptic Curves and Right Triangles  Karl Rubin; Stanford University
Slides (GIF) of lectures.
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 Elliptic Curves II  Johan P. Hansen; Dept. of Mathematics, Ny Munkegade, Aarhus
Lecture notes in English and German, a continuation of the course: "Elliptic curves over Q and C," on modular forms and elliptic curves.
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 Elliptic Curves  Stéfane Fermigier
A collection of links to research articles on elliptic curves and related topics (applications, modular forms, Fermat's last theorem).
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 Euler Systems  Karl Rubin
One of the most exciting new subjects in Algebraic Number Theory and Arithmetic Algebraic Geometry is the theory of Euler systems. Euler systems are special collections of cohomology classes attached to padic Galois representations. Here, in the first
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 Explicit Approaches to Modular Abelian Varieties  William Stein
Stein's Ph.D. thesis (Berkeley, 2000). An investigation of the Birch and SwinnertonDyer conjecture, which ties together the constellation of invariants attached to an abelian variety. The author attempts to verify this conjecture for certain specific
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 Front for the Mathematics ArXiv  Univ. of California, Davis
U.C. Davis front end for the xxx.lanl.gov ePrint archive, a major site for mathematics preprints that has incorporated many formerly independent specialist archives including alggeom, functan, dgga, qalg, autofms, cdhg, MAGNUS, Several Complex
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 Geometric Algorithms  Susan Landau; Univ. of Massachusetts at Amherst
Landau's interest in geometric algorithms has been in problems of an algebraic flavor: computeraided design, robotics, and other geometricrelated applications that have created a need for methods for embeddings, visualization, and algorithms for construction
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 Geometry and Topology: Recent Papers 19891993  Univ. of Melbourne, Australia
A bibliography of eprints from the Dept. of Mathematics and Statistics, Univ. of Melbourne, Australia.
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 Grothendieck Circle  Leila Schneps et al.
Alexandre Grothendieck's published articles, unpublished research, letters, and translations: The Cohomology Theory of Abstract Algebraic Varieties, Standard Conjectures on Algebraic Cycles, Hodge's General Conjecture Is False for Trivial Reasons, Groupes
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 Helena A. Verrill  Department of Mathematics, Louisiana State University
Notes, links, handouts, and other materials from the courses that Verrill teaches, such as Solving Discrete Problems, Calculus, Elliptic Curves, and Modular Forms. She also provides a Java applet for a wallpaper drawing program and stepbystep illustrations
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 High Rank Elliptic Curves with Prescribed Torsion  Andrej Dujella, Zagreb
The highest rank currently known for an elliptic curve over Q with each of
the possible torsion groups.
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 The history of voting
 MacTutor Math History Archives
Linked essay on the history of electoral systems.
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 Home Page for Laura Taalman  Laura Taalman
Course materials, mentored projects, publications, and more from Taalman, a professor of mathematics at James Madison University. Taalman's interests range from singular algebraic geometry and knot theory to games, puzzles, and 3D printing. The Puzzles
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 Homogeneous Transformation Matrices  Daniel W. VanArsdale
Explicit ndimensional homogeneous matrices for projection, dilation, reflection, shear, strain, rotation and other familiar transformations.
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 How to Fix an Election  Ivars Peterson (MathTrek)
Voting sounds like a simple matter. Just pick a candidate, then count the ballots and announce the tally. When there are three or more candidates (or choices), however, the results may not actually reflect the true preferences of the voters.
Suppose
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 Ideals, Varieties, and Algorithms  Cox, Little, O'Shea
An introduction to computational algebraic geometry and commutative algebra at the undergraduate level, with discussions of systems of polynomial equations ("ideals"), their solutions ("varieties"), and how these objects can be manipulated ("algorithms").
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 Innovative Teaching of Mathematics  ITM 2003  Eckhard Hitzer
September 2021, 2003, Research Institute for Mathematical Sciences, Kyoto, Japan. An international symposium with an explicit focus on Clifford geometric algebra for teaching. A second major focus is to present new ways of innovative cooperation between
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 Joseph H. Silverman
Includes errata for his books Rational Points on Elliptic Curves and Advanced Topics in the Arithmetic of Elliptic Curves. Silverman's research interests include number theory, elliptic curves, arithmetic and Diophantine geometry, number theoretic aspects
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 Journal Beiträge zur Algebra und Geometrie/Contributions to Algebra and Geometry
A yearly journal founded in 1971 on the occasion of the 65th birthday of O.H. Keller. It publishes research articles in the areas of algebra, geometry, algebraic geometry and related fields, preferably in English language. Issues since 1993 are on the
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 Journal of Algebra (Academic Press)  Harcourt, Inc.
The Journal of Algebra presents carefully selected articles concerning original research in the field of algebra. Articles from related research areas that have a significant bearing on algebra are also included. Topics covered include: Structure of finite
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 Journal of Algebraic Combinatorics  Kluwer Online
The journal publishes papers in which combinatorics and algebra interact in a significant and interesting fashion. This interaction might occur through the study of combinatorial structures using algebraic methods, or the application of combinatorial
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 Journal of Combinatorial Designs  John Wiley & Sons, Inc.
An international journal devoted to the timely publication of the most influential papers in the area of combinatorial design theory.
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 Kolyvagin's Application of Euler Systems to Elliptic Curves  Kedlaya, Osserman; Massachusetts Institute of Technology
A semesterlong seminar studying Kolyvagin's application of Euler systems to elliptic curves (i.e., to the conjecture of Birch and SwinnertonDyer), focused around the expository paper Kolyvagin's Work on Modular Elliptic Curves by Professor Gross. Includes
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 La Jolla Covering Repository  Dan Gordon; Center for Communications Research (CCR)
A site that contains tables of coverings C(v,k,t) with v<=32, k<=16, t<=8, and fewer than 5,000 blocks. You may request a covering and fill out a form, and it will be mailed to the email address you give.
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 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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