Discovery Projects - Grant ID: DP230101268

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP230101268

Funding Status
Active

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Funded Activity Summary

Symmetry: Groups, Graphs, Number Fields and Loops. Exploiting symmetry can greatly simplify complex mathematical problems. This project aims to apply the powerful Classification of Finite Simple Groups to advance our understanding of the internal structure of number fields, highly symmetric graphs, and algebraic structures associated with Latin squares. The project expects to generate new constructions and classifications utilising group theory. Expected outcomes include resolutions of major open problems in each area as well as innovative methods for studying algebraic and combinatorial structures based on group actions. Expected benefits include enhanced international collaboration, and highly trained mathematicians to strengthen Australia’s research standing in fundamental science.

Funded Activity Details

Start Date: 01-01-2023

End Date: 31-12-2025

Funding Scheme: Discovery Projects

Funding Amount: $368,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Group theory and generalisations | Combinatorics and discrete mathematics (excl. physical combinatorics) | Algebra and number theory | Pure mathematics

ANZSRC Socio-Economic Objective (SEO)

Other Keywords

Algebra and number theory | Combinatorics and discrete mathematics (excl. physical combinatorics) | Expanding Knowledge In the Mathematical Sciences | Group theory and generalisations | Pure mathematics

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