Discovery Projects - Grant ID: DP0210230

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP0210230

Funding Status
Closed

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Funded Activity Summary

Braid monoids, presentations and normal forms. Braid groups arise naturally in various areas of mathematics, physics and computer science including knot theory, Lie theory, quantum groups and cryptography. There is a uniform geometric description of braid groups; however this is not the case algebraically. This project aims to find the connections between the algebra, combinatorics and geometry of braid groups in order to obtain a uniform algebraic description. This generalisation will allow advances in the related areas of mathematics and physics. In addition to theoretical results, new algorithms for calculating in braid groups will be given, which can then be implemented computationally.

Funded Activity Details

Start Date: 01-01-2002

End Date: 31-12-2006

Funding Scheme: Discovery Projects

Funding Amount: $187,566.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Rings And Algebras | Geometry | Pure Mathematics | Group Theory And Generalisations (Incl. Topological Groups And Lie

ANZSRC Socio-Economic Objective (SEO)

Mathematical sciences |

Other Keywords

Geometry | Group Theory And Generalisations (Incl. Topological Groups And Lie | Mathematical sciences | Pure Mathematics | Rings And Algebras

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