Discovery Projects - Grant ID: DP210103136

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP210103136

Funding Status
Active

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Funded Activity Summary

Connections in low-dimensional topology. This project aims to resolve important open questions in low-dimensional topology, by connecting hyperbolic geometry to invariants arising from quantum topology, cluster algebras, and spinors. The spaces studied in this project, namely 3-manifolds and knots, arise in applications across engineering and science. The project expects to generate new insights into these spaces by applying tools connecting them to hyperbolic geometry. Expected outcomes include efficient techniques to compute important data about 3-manifolds and knots, particularly certain polynomials encoding geometry, and exact calculations of circle packings. This should provide significant benefits, such as progress on difficult conjectures in hyperbolic geometry.

Funded Activity Details

Start Date: 01-03-2022

End Date: 28-02-2025

Funding Scheme: Discovery Projects

Funding Amount: $355,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Pure Mathematics | Topology

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Mathematical Sciences |

Other Keywords

Expanding Knowledge in the Mathematical Sciences | Pure Mathematics | Topology

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