Discovery Projects - Grant ID: DP240102350

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP240102350

Funding Status
Active

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Funded Activity Summary

Geodesic arcs and surfaces for hyperbolic knots and 3-manifolds. This project aims to use recent breakthroughs in mathematics to determine explicit geometric information on mathematical spaces, namely knot complements and 3-manifolds. These spaces arise in applications across science and engineering. They break into pieces that admit geometry, where hyperbolic geometry is the most common. This project expects to generate new knowledge around a number of open questions and conjectures on the hyperbolic geometry of knots and 3-manifolds. Expected outcomes include development of theory, and improved geometric tools. It will benefit the mathematical community through new insights and improved methods, and possibly lead to downstream applications in other scientific fields that rely on geometry.

Funded Activity Details

Start Date: 01-01-2024

End Date: 31-12-2026

Funding Scheme: Discovery Projects

Funding Amount: $459,575.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Algebraic and differential geometry | Topology | Pure mathematics

ANZSRC Socio-Economic Objective (SEO)

Other Keywords

Algebraic and differential geometry | Expanding Knowledge In the Mathematical Sciences | Pure mathematics | Topology

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