Discovery Projects - Grant ID: DP140100531

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP140100531

Funding Status
Closed

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Funded Activity Summary

Generalised conformal mappings. A conformal mapping preserves shape, at least at very small scale, circles are mapped to circles. The more recently introduced quasi-conformal mappings nearly preserves shape, at least at a very small scale, circles are mapped to regions which are similar to circles. This project will allow different directions to be scaled differently, and will consider mappings that send circles to ellipses of arbitrary eccentricity. The theory to be developed is mathematical and it will provide a unified approach to important results in several areas, including Lie groups and functions of several complex variables.

Funded Activity Details

Start Date: 01-01-2014

End Date: 01-04-2017

Funding Scheme: Discovery Projects

Funding Amount: $342,380.00

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

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