Discovery Projects - Grant ID: DP170100247

Funding Activity

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Funded Activity Summary

New methods in spectral geometry. This project aims to use methods from mathematical scattering theory to resolve problems in the spectral analysis and index theory of differential operators. Both areas underpin the theoretical understanding of physical materials at micro length scales where quantum phenomena dominate. The project will develop new mathematical results in spectral analysis and geometry, and apply its results to theoretical models of quantum phenomena whose spectral properties are at the limit of the range of mathematical techniques. Solving these problems is expected to influence non-commutative analysis.

Funded Activity Details

Start Date: 01-01-2017

End Date: 31-12-2022

Funding Scheme: Discovery Projects

Funding Amount: $388,000.00

Funder: Australian Research Council