Discovery Projects - Grant ID: DP190100450

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP190100450

Funding Status
Active

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Funded Activity Summary

Complexity of group algorithms and statistical fingerprints of groups. This project aims to shape the next generation of efficient randomised algorithms in the field of group theory, the mathematics of symmetry. Fundamental mathematics underpins modern technological tasks such as web searches, sorting and data compression. This project aims to determine characteristic statistical fingerprints of key building-block groups. These group statistics lead to much faster procedures to essentially factor huge groups into smaller building-block groups in a manner akin to factoring an integer into its prime factors. The anticipated goal is to include the outcomes in publicly available symbolic algebra computer packages. As the theory of symmetry has broad applications in the mathematical and physical sciences, there is the potential for far reaching benefits.

Funded Activity Details

Start Date: 21-02-2019

End Date: 31-12-2022

Funding Scheme: Discovery Projects

Funding Amount: $440,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Analysis of Algorithms and Complexity | Group Theory and Generalisations | Pure Mathematics | Mathematical Software

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Information and Computing Sciences | Expanding Knowledge in the Mathematical Sciences |

Other Keywords

Analysis of Algorithms and Complexity | Expanding Knowledge in the Information and Computing Sciences | Expanding Knowledge in the Mathematical Sciences | Group Theory and Generalisations | Mathematical Software | Pure Mathematics

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