Discovery Projects - Grant ID: DP140100296

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP140100296

Funding Status
Closed

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Funded Activity Summary

The Reconstruction and Recognition Problems for Hypersurface Singularities. This project concerns pure basic research in mathematics. It is centred around a surprising relationship between geometric objects called quasi-homogeneous isolated hypersurface singularities, and algebraic structures described as Artinian Gorenstein algebras. This relationship has not been fully understood despite numerous attempts by internationally based experts to shed light on it. Armed with a novel approach to Artinian Gorenstein algebras, this project proposes to clarify the nature of this relationship and utilise it for solving related geometric and algebraic problems. In particular, it aims at obtaining a groundbreaking result in the area of classical invariant theory.

Funded Activity Details

Start Date: 01-01-2014

End Date: 31-12-2017

Funding Scheme: Discovery Projects

Funding Amount: $375,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

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 | Pure Mathematics | Real and Complex Functions (incl. Several Variables)

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