Discovery Projects - Grant ID: DP220100285

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP220100285

Funding Status
Active

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Funded Activity Summary

Harmonic analysis of Laplacians in curved spaces. Harmonic Analysis is a branch of mathematics which is interrelated to other fields of mathematics like complex analysis, number theory and partial differential equations (pdes) with many applications in engineering and technology. This project aims to solve a number of difficult fundamental problems at the frontier of harmonic analysis in understanding Laplacians in curved spaces. Such Laplacians control the propagation of heat and waves on manifolds and Lie groups, arising in mathematical physics and quantum mechanics. Expected outcomes are the solutions of dispersive equations and the framework of singular integrals in curved spaces; new ideas and techniques in harmonic analysis developed; and training of Australian future mathematicians.

Funded Activity Details

Start Date: 02-05-2022

End Date: 01-05-2025

Funding Scheme: Discovery Projects

Funding Amount: $375,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Lie Groups, Harmonic and Fourier Analysis | Pure Mathematics | Real and Complex Functions (incl. Several Variables) | Partial Differential Equations

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Mathematical Sciences |

Other Keywords

Expanding Knowledge in the Mathematical Sciences | Lie Groups, Harmonic and Fourier Analysis | Partial Differential Equations | Pure Mathematics | Real and Complex Functions (incl. Several Variables)

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