ARC Future Fellowships - Grant ID: FT160100232

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/FT160100232

Funding Status
Closed

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Funded Activity Summary

Interactions of geometry and knot theory. This project aims to use recent breakthroughs in hyperbolic geometry and Kleinian groups to relate geometry to knots which are mathematical objects arising in microbiology, chemistry, physics, and mathematics. Knots are often studied via the space around them known as the knot complement. Knot complements decompose into geometric pieces, and the most common geometry is hyperbolic, which completely determines a knot. However, how to obtain information on the hyperbolic geometry of a knot from a classical description is unknown. This project will obtain information by uncovering results that would enable classification of even extremely complicated knots, and could affect mathematics and other fields.

Funded Activity Details

Start Date: 30-06-2017

End Date: 29-06-2021

Funding Scheme: ARC Future Fellowships

Funding Amount: $933,054.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Pure Mathematics | Algebraic and Differential Geometry | Topology

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Mathematical Sciences |

Other Keywords

Algebraic and Differential Geometry | Expanding Knowledge in the Mathematical Sciences | Pure Mathematics | Topology

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