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Grant Award View - GA214407-V1
Topological stability from spectral analysis
GA ID:
GA214407-V1
Agency:
Australian Research Council
Approval Date:
18-Jan-2022
Variation Publish Date:
17-May-2023
Variation Date:
17-May-2023
Category:
Science, Technology, Engineering and Mathematics (STEM) Research
Grant Term:
30-Jun-2022 to 29-Jun-2025
Value (AUD):
$332,000.00
(GST inclusive where applicable)
Varies:
GA214407
- Topological stability from spectral analysis
One-off/Ad hoc:
No
Aggregate Grant Award:
No
PBS Program Name:
ARC 21/22 Discovery
Grant Program:
Discovery Projects
Grant Activity:
Topological stability from spectral analysis
Purpose:
The aim is to use mathematical scattering theory to find and study new topological features of the spectra of linear transformations on Hilbert space. The significance derives from mathematical models of low temperature conducting quantum materials. These have revealed `topological phases of matter' that are stable with respect to a range of variations in the parameters that determine the system. The stability is desired for applications to quantum devices. Our results will give topological stability from the scattering spectrum, a feature not previously seen. The benefits stem from new results in mathematical scattering theory with a primary novelty being the analysis of ``zero energy resonances'' in mathematical models of graphene.
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:
University of Wollongong
Recipient ABN:
61 060 567 686
Grant Recipient Location
Suburb:
WOLLONGONG
Town/City:
WOLLONGONG
Postcode:
2522
State/Territory:
NSW
Country:
AUSTRALIA
Grant Delivery Location
State/Territory:
NSW
Postcode:
2522
Country:
AUSTRALIA