Discovery Early Career Researcher Award - Grant ID: DE190101063

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DE190101063

Funding Status
Active

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Funded Activity Summary

Geometric flows and distinguished geometric structures with symmetry. This project aims to carry out analysis for the Ricci flow and a number of recent flows in complex geometry. Geometric evolution equations are a trending topic in modern mathematics, with successful applications such as the celebrated proof of the century-old Poincaré Conjecture in 2002-03 by means of the Ricci flow. An analysis of the behaviour of solutions with symmetry is an essential component in any mature theory on the subject. The project will use the novel tools and ideas resulting from this analysis to address the Alekseevskii Conjecture, a 40-year old fundamental open question in the field with major ramifications in mathematics and beyond. This project will further reinforce Australia's leading role in geometric analysis.

Funded Activity Details

Start Date: 01-01-2019

End Date: 31-12-2023

Funding Scheme: Discovery Early Career Researcher Award

Funding Amount: $319,474.00

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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