ARC Future Fellowships - Grant ID: FT210100256

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/FT210100256

Funding Status
Active

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Funded Activity Summary

Using Abstract Networks to Study Symmetry. An operad is a mathematical tool for packaging the connection between discrete blocks of information. In other words, an operad is a type of network, particularly suited for approaching complex problems by breaking them into smaller, manageable packets. This project aims to reimagine classical objects in geometry and topology such as Teichmüller space as variations of infinity operads. This reimagining will ensure new insights into key objects across three areas of mathematics: algebraic number theory (the mathematics of modern encryption), the representation theory of quantum groups and topological quantum field theories.

Funded Activity Details

Start Date: 15-01-2022

End Date: 14-01-2026

Funding Scheme: ARC Future Fellowships

Funding Amount: $820,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Category Theory, K Theory, Homological Algebra | Pure Mathematics |

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Mathematical Sciences

Other Keywords

Category Theory, K Theory, Homological Algebra | Expanding Knowledge in the Mathematical Sciences | Pure Mathematics

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