This page contains links to computational algebra sites. If you would like us to link to another similar site, please contact us with the details.
- The ATLAS of Finite Group Representations.
- Brendan McKay's page of graphs, trees, and other combinatorial data.
- The Graded Ring Database includes classifications of toric varieties, polarised K3 surfaces, and Fano 3-folds and 4-folds.
- CAIN, the Computer Algebra Information Network.
- KANT Group, Computational Algebraic Number Theory research group.
- RICAM, the Johann Radon Institute for Computational and Applied Mathematics.
- CoCoA, a commutative algebra system.
- GAP, a system for computational discrete algebra, with particular emphasis on computational group theory.
- JavaView, a 3D geometry viewer written in Java.
- KANT/KASH, for computations in algebraic number fields.
- LattE, dedicated to the problems of counting and detecting lattice points inside convex polytopes.
- Macaulay2, a software system focussing on algebraic geometry and commutative algebra.
- NZMATH, a Python-based number theory calculation system.
- PALP, a package for analysing lattice polytopes.
- PARI, a package for number theory.
- polymake, a tool for studying the combinatorics of convex polytopes and polyhedra.
- SAGE, an open-source mathematics software system with a Python-based interface.
- Singular, a computer algebra system for polynomial computations, with special emphasis on commutative and non-commutative algebra, algebraic geometry, and singularity theory.
- ZEN, a toolbox for fast computations in finite extensions over finite rings.
Professor John Cannon, the founder of Magma, has been recognised for his
many achievements by being appointed an Officer of the Order of Australia in
the 2026 Honours List. The award was given for distinguished service to
tertiary education, to mathematical computation, to cryptography, and to the
development of algebraic software systems.