ARC Future Fellowships - Grant ID: FT130101102

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/FT130101102

Funding Status
Closed

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Funded Activity Summary

Curvature flows and spectral estimates. Curvature flows are a class of geometrically motivated equations, modelled on the heat equation. Recently, researchers have developed new methods for studying the regularity of solutions to these equations, and applied them to a different problem, that of estimating quantities depending on the smaller eigenvalues of a Schroedinger operator. This project builds on the early success of this research and will produce a new understanding of the behaviour of eigenvalues, establish sharp estimates for spectral quantities, particularly on manifolds with curvature bounds, and find optimal conditions under which non-compact solutions to curvature flows are stable.

Funded Activity Details

Start Date: 01-04-2014

End Date: 30-12-2021

Funding Scheme: ARC Future Fellowships

Funding Amount: $605,460.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Lie Groups, Harmonic and Fourier Analysis | Pure Mathematics | Partial Differential Equations | Algebraic and Differential Geometry

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Mathematical Sciences |

Other Keywords

Algebraic and Differential Geometry | Expanding Knowledge in the Mathematical Sciences | Lie Groups, Harmonic and Fourier Analysis | Partial Differential Equations | Pure Mathematics

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