Discovery Projects - Grant ID: DP1095760

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP1095760

Funding Status
Closed

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Funded Activity Summary

Triangulations in dimension three: algorithms and geometric structures. Perelman recently won a Fields medal for the solution of the geometrisation and Poincare conjectures on three-dimensional spaces, using a very deep heat flow method to find optimal geometries on these spaces. The project will develop a new constructive approach to building these optimal geometric structures. This will lead to effective algorithmic methods to distinguish three-dimensional spaces, with applications to the study of knots and links (for example, knotted DNA molecules) and to mathematical physics. The project will also provide new techniques to study important problems in the classification of three-dimensional spaces, such as the virtual Haken conjecture.

Funded Activity Details

Start Date: 27-01-2010

End Date: 31-12-2013

Funding Scheme: Discovery Projects

Funding Amount: $345,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Topology And Manifolds | Geometry | Pure Mathematics |

ANZSRC Socio-Economic Objective (SEO)

Mathematical sciences

Other Keywords

Geometry | Mathematical sciences | Pure Mathematics | Topology And Manifolds

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