Discovery Early Career Researcher Award - Grant ID: DE150101548

Funding Activity

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Funded Activity Summary

Geometric boundary-value problems. The Ricci flow is a geometric differential equation which recently made headlines for its key role in the proof of the Poincaré Conjecture (a century-old mathematical conjecture whose resolution carried a $1,000,000 prize). Developing the theory of boundary-value problems for the Ricci flow is a fundamental question which has remained open for over two decades. This project aims to answer this question on a wide class of spaces, along with the closely related question of solvability of boundary-value problems for the prescribed Ricci curvature equation. The results will have ramifications in a variety of fields, from pure mathematics to quantum field theory, relativity and modelling of biological systems.

Funded Activity Details

Start Date: 01-01-2015

End Date: 30-06-2018

Funding Scheme: Discovery Early Career Researcher Award

Funding Amount: $345,000.00

Funder: Australian Research Council