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Grant Award View - GA215157
Optimal shapes in geometry and physics: Isoperimetry in modern analysis
GA ID:
GA215157
Agency:
Australian Research Council
Approval Date:
19-Jan-2022
Publish Date:
25-Jan-2022
Category:
Science, Technology, Engineering and Mathematics (STEM) Research
Grant Term:
1-Dec-2022 to 31-Dec-2024
Original: 19-Jan-2022 to 31-Dec-2024
Value (AUD):
$295,000.00
(GST inclusive where applicable)
Variations:
- GA215157-V1 - Variation to Grant (19-Apr-2023 )
One-off/Ad hoc:
No
Aggregate Grant Award:
No
PBS Program Name:
ARC 21/22 Discovery
Grant Program:
Discovery Projects
Grant Activity:
Optimal shapes in geometry and physics: Isoperimetry in modern analysis
Purpose:
This project will find the best isoperimetric shapes in curved spaces: shapes that optimise geometric or analytic quantities, such as the volume enclosed by a surface of a given area, or the resonant frequency of a drum of given area. The optimal shapes lead to tools that are widely used in differential equations, geometric analysis, statistical physics, probability theory, and quantum computing. Through this work, we will forge connections between the geometry of curved spaces, and the physics of operators therein. The significant benefits of this project include increasing fundamental mathematical knowledge, building capacity in Australia’s world-class geometric analysis community, and strong links with international partners.
GO ID:
GO Title:
Discovery Projects for funding commencing in 2022
Internal Reference ID:
DP22 Round 1
Selection Process:
Targeted or Restricted Competitive
Confidentiality - Contract:
No
Confidentiality - Outputs:
No
Grant Recipient Details
Recipient Name:
Monash University
Recipient ABN:
12 377 614 012
Grant Recipient Location
Suburb:
MULGRAVE
Town/City:
MULGRAVE
Postcode:
3170
State/Territory:
VIC
Country:
AUSTRALIA
Grant Delivery Location
State/Territory:
VIC
Postcode:
3170
Country:
AUSTRALIA