Discovery Projects - Grant ID: DP190101838

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP190101838

Funding Status
Active

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Funded Activity Summary

Billiards within confocal quadrics and beyond. This project aims to analyse mathematical billiards within domains bounded by confocal conics. Mathematical billiards have applications in any situation that involves collisions and reflections, and any phenomenon that includes reflections and collisions can be modelled using mathematical billiards. This project aims to revolutionise the analysis of billiards within domains bounded by several confocal conics by exploring the relations of such billiards with polygonal billiards, and making research advances with the higher-dimensional generalisations within confocal quadrics and their relations with billiards within polyhedra. The project will link several significant areas of scientific work including polygonal billiards, classical integrable systems, Teichmuller spaces, and relativity theory. The project outcomes will have impact across areas of mathematics such as geometry, algebraic geometry, and dynamical systems.

Funded Activity Details

Start Date: 01-02-2019

End Date: 31-12-2023

Funding Scheme: Discovery Projects

Funding Amount: $450,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Integrable Systems (Classical and Quantum) | Ordinary Differential Equations, Difference Equations and Dynamical Systems | Mathematical Physics |

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Mathematical Sciences

Other Keywords

Expanding Knowledge in the Mathematical Sciences | Integrable Systems (Classical and Quantum) | Mathematical Physics | Ordinary Differential Equations, Difference Equations and Dynamical Systems

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