Discovery Projects - Grant ID: DP220101196

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP220101196

Funding Status
Active

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Funded Activity Summary

Topological stability from spectral analysis. 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.

Funded Activity Details

Start Date: 30-06-2022

End Date: 29-06-2025

Funding Scheme: Discovery Projects

Funding Amount: $332,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Operator Algebras and Functional Analysis | Mathematical Aspects of Classical Mechanics, Quantum Mechanics and Quantum Information Theory | Pure Mathematics | Algebraic and Differential Geometry

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Physical Sciences | Expanding Knowledge in the Mathematical Sciences |

Other Keywords

Algebraic and Differential Geometry | Expanding Knowledge in the Mathematical Sciences | Expanding Knowledge in the Physical Sciences | Mathematical Aspects of Classical Mechanics, Quantum Mechanics and Quantum Information Theory | Operator Algebras and Functional Analysis | Pure Mathematics

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