Discovery Early Career Researcher Award - Grant ID: DE220100919

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DE220100919

Funding Status
Active

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Funded Activity Summary

Distinguished Geometric Structures with Symmetry in Four Dimensions. The Ricci flow is a geometric evolution equation having significant applications in geometry, topology, as well as in physics, biology and image processing. This project aims to provide a complete description and classification of highly symmetric, self-similar solutions to the Ricci Flow in four dimensions. Such a classification is essential to understanding the behaviour of the flow, but has so far evaded discovery. This project intends to combine techniques from pure mathematics with computational techniques to complete this classification. Such an outcome would greatly improve the understanding of the geometry of four-dimensional manifolds, potentially leading to applications in several areas of science as well as image processing.

Funded Activity Details

Start Date: 31-12-2022

End Date: 30-12-2025

Funding Scheme: Discovery Early Career Researcher Award

Funding Amount: $345,000.00

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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