Discovery Projects - Grant ID: DP140100416

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP140100416

Funding Status
Closed

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Funded Activity Summary

Finite linearly representable geometries and symmetry. Finite geometry has profound mathematical connections to the theory of symmetry. Advances in finite geometry and in symmetry have historically led to advances in diverse areas such as algebra, computing, and theoretical physics. The project aims to characterise basic geometric objects called "projective planes'' and "generalised polygons'' using their symmetry properties. To achieve these aims, conceptual links between certain elements in classical symmetry groups and geometric planes and polygons must be developed. The density of these certain elements has important applications to probabilistic geometric algorithms.

Funded Activity Details

Start Date: 01-01-2014

End Date: 31-05-2019

Funding Scheme: Discovery Projects

Funding Amount: $473,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Combinatorics and Discrete Mathematics (excl. Physical Combinatorics) | Group Theory and Generalisations | Pure Mathematics |

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Mathematical Sciences

Other Keywords

Combinatorics and Discrete Mathematics (excl. Physical Combinatorics) | Expanding Knowledge in the Mathematical Sciences | Group Theory and Generalisations | Pure Mathematics

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