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Grant Award View - GA29030-V2
Billiards within confocal quadrics and beyond
GA ID:
GA29030-V2
Agency:
Australian Research Council
Approval Date:
27-Nov-2018
Variation Publish Date:
2-Aug-2021
Variation Date:
27-Jul-2021
Category:
Science, Technology, Engineering and Mathematics (STEM) Research
Grant Term:
1-Feb-2019 to 31-Jan-2022
Value (AUD):
$495,000.00
(GST inclusive where applicable)
Varies:
GA29030
- Billiards within confocal quadrics and beyond
One-off/Ad hoc:
No
Aggregate Grant Award:
No
PBS Program Name:
ARC 18/19 Discovery
Grant Program:
Discovery Projects
Grant Activity:
Billiards within confocal quadrics and beyond
Purpose:
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.
GO ID:
GO Title:
Discovery Projects commencing in 2019
Internal Reference ID:
DP19 Round 1
Selection Process:
Targeted or Restricted Competitive
Confidentiality - Contract:
No
Confidentiality - Outputs:
No
Grant Recipient Details
Recipient Name:
The University of Sydney
Recipient ABN:
15 211 513 464
Grant Recipient Location
Suburb:
FOREST LODGE
Town/City:
FOREST LODGE
Postcode:
2037
State/Territory:
NSW
Country:
AUSTRALIA
Grant Delivery Location
State/Territory:
NSW
Postcode:
2037
Country:
AUSTRALIA