Discovery Early Career Researcher Award - Grant ID: DE230100579

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DE230100579

Funding Status
Active

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Funded Activity Summary

The existence and abundance of small bases of permutation groups. This project aims to study bases for permutation groups, which are the mathematical formalisation of symmetry. Bases are crucial to encoding and computing with groups in diverse areas of science. Small bases are desirable for efficiency, but can be hard to find. This project expects to combine techniques from areas of algebra and probability to determine the existence and abundance of bases. Expected outcomes of this project include new methods to address enduring open problems in the study of bases, as well as novel applications of existing techniques. This should provide significant benefits, such as creating and strengthening international collaborations, and building on Australia’s reputation as a powerhouse of finite group theory.

Funded Activity Details

Start Date: 09-01-2023

End Date: 08-01-2026

Funding Scheme: Discovery Early Career Researcher Award

Funding Amount: $445,754.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

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

ANZSRC Socio-Economic Objective (SEO)

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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