Discovery Projects - Grant ID: DP240101934

Funding Activity

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Funded Activity Summary

Deformation of singularities through Hodge theory and derived categories. Moduli theory, the modern classification theory of mathematical objects, is a branch of algebraic geometry with applications in wide-ranging areas from the theoretical high-energy physics (dark matter and Higgs boson) to data encryption and correction via cryptography. The aim of this project is to resolve central open problems in this theory. This will be achieved by developing new methods and establishing deeper connections between various dynamic branches of these fields. By undertaking research at the forefronts of these highly active areas, this project will both strengthen the current expertise within the Australian mathematical community and precipitate the advance of Australian high-tech industries.

Funded Activity Details

Start Date: 02-2024

End Date: 02-2027

Funding Scheme: Discovery Projects

Funding Amount: $463,261.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Algebraic and differential geometry | Pure mathematics

ANZSRC Socio-Economic Objective (SEO)