Discovery Projects - Grant ID: DP220100067

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP220100067

Funding Status
Active

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Funded Activity Summary

Optimal shapes in geometry and physics: Isoperimetry in modern analysis. This project will find the best isoperimetric shapes in curved spaces: shapes that optimise geometric or analytic quantities, such as the volume enclosed by a surface of a given area, or the resonant frequency of a drum of given area. The optimal shapes lead to tools that are widely used in differential equations, geometric analysis, statistical physics, probability theory, and quantum computing. Through this work, we will forge connections between the geometry of curved spaces, and the physics of operators therein. The significant benefits of this project include increasing fundamental mathematical knowledge, building capacity in Australia’s world-class geometric analysis community, and strong links with international partners.

Funded Activity Details

Start Date: 01-12-2022

End Date: 31-12-2024

Funding Scheme: Discovery Projects

Funding Amount: $295,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

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 | Partial Differential Equations | Pure Mathematics

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