ARC Future Fellowships - Grant ID: FT230100489

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/FT230100489

Funding Status
Active

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Funded Activity Summary

Categorical representation theory and applications. Symmetry is everywhere, and nature is designed symmetrically: Snails make their shells, spiders design their webs, and bees build hexagonal honeycombs, all based on the concept of symmetry. Symmetry is a general principle which plays an important role in various areas of knowledge and perception, ranging from arts to natural sciences and mathematics. The 21th century way of the study of symmetries is categorical representation theory. The project aims are to strengthen this young field by advancing the theory and by finding applications from where its significance arises. The outcome will be new results on categorical representations and this will have benefits within mathematics, cryptography and also in physics/chemistry in the long run.

Funded Activity Details

Start Date: 15-12-2023

End Date: 14-12-2027

Funding Scheme: ARC Future Fellowships

Funding Amount: $815,890.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Category theory k theory homological algebra | Group theory and generalisations | Topology | Pure mathematics

ANZSRC Socio-Economic Objective (SEO)

Other Keywords

Category theory k theory homological algebra | Expanding Knowledge In the Mathematical Sciences | Group theory and generalisations | Pure mathematics | Topology

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