ARC Future Fellowships - Grant ID: FT190100632

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/FT190100632

Funding Status
Active

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Funded Activity Summary

Diagram categories and transformation semigroups. A structural understanding of diagram categories is essential in many branches of mathematics and science. Despite this, very few methods for studying such categories are available, a fact this pure mathematics project seeks to rectify. By building strong bridges between diagram categories and semigroup theory, a field of abstract algebra that models transformation and change, the structure of diagram categories may be unlocked with powerful semigroup tools developed by the applicant investigator. Diagrammatic insights will also yield new ways to study semigroups, and the many other mathematical structures they interact with. Outcomes will have a lasting impact on both theories as well as the many fields influenced by them.

Funded Activity Details

Start Date: 06-01-2020

End Date: 05-01-2025

Funding Scheme: ARC Future Fellowships

Funding Amount: $785,823.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Combinatorics and Discrete Mathematics (excl. Physical Combinatorics) | Group Theory and Generalisations | Pure Mathematics |

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Mathematical Sciences

Other Keywords

Combinatorics and Discrete Mathematics (excl. Physical Combinatorics) | Expanding Knowledge in the Mathematical Sciences | Group Theory and Generalisations | Pure Mathematics

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