LiDIA Group
- Based at the Darmstadt University of Technology, Germany. LiDIA is a C++ library for computational number theory which provides a collection of highly optimized implementations of various multiprecision data types and time-intensive algorithms.
- http://www.cdc.informatik.tu-darmstadt.de/TI/LiDIA/

Programme ALCOM
- Based at the University of Nijmegen, the Netherlands; Subfaculty of Mathematics. Description of their research.
- http://www.math.ru.nl/onderzoek/prog_algebra1.html

Centre for Interdisciplinary Research in Computational Algebra
- University of St Andrews. Coordinates the international efforts to develop maintain and promote the GAP (groups, algorithms and programming) software package. People, project, meetings, reports, theses, library and teaching material.
- http://turnbull.mcs.st-and.ac.uk/CIRCA/

Ukrainian GAP User Group
- English and Russian language resources on GAP. The LAGUNA package extends GAP for computations in group rings.
- http://ukrgap.exponenta.ru/index.htm

Computer Algebra Research Group (CARGO)
- Department of Physics and Computer Science of Wilfrid Laurier University, Waterloo, Ontario, Canada. Research interests include Gröbner Bases, Implicitization on Polynomial Curves and Surfaces, Enumerating Regular Mixed-Cell Configurations, Symmetric Po
- http://www.cargo.wlu.ca/

Anthony C. Hearn
- Resident consultant at RAND; research work includes symbolic and algebraic computation (especially REDUCE), scientific software, digital publication and computer networks.
- http://www.rand.org/contact/personal/hearn/

Programming and Symbolic Computation Team
- Department of Mathematics and Computer Science, University of La Rioja, Logroño, Spain. Research has been focused on the design, specification and construction of symbolic computation systems for Algebraic Topology.
- http://www.unirioja.es/dptos/dmc/psycotrip

Algorithmic Algebra and Number Theory
- Computer Algebra research group of the IWR, Heidelberg. People, research, teaching, activities, software and links.
- http://www.iwr.uni-heidelberg.de/groups/compalg/

Groups, Algorithms and Programming
- Group at the University of St. Andrews developing GAP, a free system for computational discrete algebra.
- http://www-gap.dcs.st-and.ac.uk/

Centre for Computer Algebra
- A scientific institution of the departments of Mathematics , Computer Science , and Electrical Engineering at the University of Kaiserslautern. The goal of the centre is to advance and to support the use of Computer Algebra in industry, research
- http://www.mathematik.uni-kl.de/~zca/Welcome.html

Hungarian Academy of Sciences
- Department of Computer Algebra. Members, research projects and computer algebra resources. Site in Hungarian and English.
- http://compalg.inf.elte.hu/

Department of Optimization
- Konrad-Zuse-Zentrum für Informationstechnik, Berlin, Germany. The main area of research and development is algorithmic discrete mathematics. Details of publications and meetings.
- http://www.zib.de/Optimization/index.en.html

Computer Algebra Group
- Part of the Centre for Experimental and Constructive Mathematics (CECM), Simon Fraser University, BC, Canada. Details of members, projects, meetings and publications.
- http://www.cecm.sfu.ca/CAG/

Ontario Research Centre for Computer Algebra (ORCCA)
- University of Western Ontario and University of Waterloo. Carries out fundamental research in and development of mathematical software. Details of research project, members and meetings.
- http://orcca.on.ca/

Imai Laboratory
- Department of Information Science, the University of Tokyo. Research projects include Computational Algebra and Geometry. Details of members' research and publications.
- http://naomi.is.s.u-tokyo.ac.jp/

Research Institute for Symbolic Computation (RISC-Linz)
- An institute of the Johannes Kepler University in Linz, Austria, founded in 1987 by Prof. Bruno Buchberger. Research focuses on the interaction and integration of mathematics and computer science. Site has project descriptions, publications, courses and
- http://www.risc.uni-linz.ac.at/

Symbolic Computation Group
- University of Waterloo, Canada. Covers both symbolic computation and hybrid symbolic-numeric computation.
- http://www.scg.uwaterloo.ca/

KANT
- Based at the Technische Universität, Berlin. Producers of KANT/KASH, a computer algebra system for sophisticated computations in algebraic number fields.
- http://www.math.tu-berlin.de/algebra/