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Algebraic Areas of Mathematics — (Science/Math)
Topics include number theory, groups and sets, commutative rings, algebraic geometry, and linear algebra.
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Home Page of J. S. Milne — (Science/Math)
Includes preprints and course notes on Group Theory, Fields and Galois Theory, Algebraic Geometry, Algebraic Number Theory,Modular Functions and Modular Forms, Elliptic Curves, Abelian Varieties, Etale Cohomology, and Class Field Theory.
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What is a Jordan-like Algebra? — (Science/Math)
Includes generalizations, and algebraic geometry. Notes and links by Tony Smith.
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Macaulay 2 — (Science/Math)
A new software system devoted to supporting research in algebraic geometry and commutative algebra.
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SINGULAR — (Science/Math)
Computer Algebra System for polynomial computations with special emphasis on commutative algebra, algebraic geometry, and singularity theory.
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Macaulay — (Science/Math)
Macaulay 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.
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Neumann, Peter M . — (Science/Math)
The Queen's College, University of Oxford. Varieties of groups; finite permutation groups; infinite permutation groups; design of group-theoretic algorithms; soluble groups; quantitative topics in group theory; matrices over finite fields; miscellaneous questions in combinatorics, geometry and general group theory; history of group theory. Chairman of the UK Mathematics Trust.
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Jones, Gareth — (Science/Math)
University of Southampton. Group theory, and its applications to geometry, topology, combinatorics and Galois theory. Recent preprints.
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Grojnowski, Ian — (Science/Math)
University of Cambridge. Representation theory, reductive groups, algebraic geometry. Papers.
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Larsen, Michael — (Science/Math)
Indiana University. Algebraic number theory; algebraic geometry; group theory (finite, finitely generated, compact, or algebraic); homological algebra; algebraic combinatorics; applied algebra. Teaching notes, Putnam competition information.
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Binary Coordinate Systems — (Science/Math)
Article by Steven H. Cullinane. Defines "Cartesian" coordinate systems for small finite geometries over the two-element field, and discusses geometrically simple generators for affine group actions.
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(Belgium) Limburgs Universitair Centrum — (Science/Math)
LUC Algebra Group. Major areas of research include: Non-commutative geometry; Invariant theory; Group algebras and Schur algebras; Lie algebra; Maximal orders.
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Arxiv: AC Commutative Algebra — (Science/Math)
Articles cover commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
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Talk Math — (Science/Math)
A discussion forum for students and teachers. Topics discussed include Algebra, College Algebra, Calculus, Trigonometry, Geometry.
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Math Forum: Public Discussions — (Science/Math)
Group topics include general math, education, geometry, software, calculus reform, research and recreations.
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