Discovery Projects - Grant ID: DP210103242

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP210103242

Funding Status
Active

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Funded Activity Summary

Singular spaces in analysis and geometry. Singularities arise naturally in many areas of mathematics, as models of symmetry, degeneracy, and asymptotic collapse. The aim of this project is to provide powerful, generlisable tools to elucidate the interplay between modes of singularity formation and solutions to the important differential equations which arise in geometric analysis. The proposed framework builds upon the established success of microlocal analysis, initiated by Melrose in the 1980's, in the generalisation of landmark theorems like the Atiyah-Singer index theorem to more general Riemannian manifolds. This project will benefit Australia by increasing its capacity in pure mathematics in this highly active research area.

Funded Activity Details

Start Date: 30-09-2021

End Date: 30-09-2024

Funding Scheme: Discovery Projects

Funding Amount: $395,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Pure Mathematics | Partial Differential Equations | Algebraic and Differential Geometry | Topology

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Mathematical Sciences |

Other Keywords

Algebraic and Differential Geometry | Expanding Knowledge in the Mathematical Sciences | Partial Differential Equations | Pure Mathematics | Topology

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