ARC Future Fellowships - Grant ID: FT200100399

Funding Activity

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Funded Activity Summary

Problems in harmonic analysis: decoupling and Bourgain-Brezis inequalities. This project in mathematics aims to study two recent, promising developments in harmonic analysis, namely Fourier decoupling and Bourgain-Brezis inequalities. The former captures how waves interfere upon superposition; the latter arose initially in the study of the Ginzburg-Landau theory of superconductors. This exciting project seeks to deliver deep insights into how different frequencies interact, and aims to develop powerful new tools to advance the study of partial differential equations and analytic number theory. This Future Fellowship should benefit Australia by improving our scientific capability. It will bring world-class researchers to Australia for collaboration, and put Australia at the forefront of first rate research.

Funded Activity Details

Start Date: 29-10-2020

End Date: 28-10-2024

Funding Scheme: ARC Future Fellowships

Funding Amount: $887,202.00

Funder: Australian Research Council