Discovery Projects - Grant ID: DP230100654

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP230100654

Funding Status
Active

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Funded Activity Summary

Braid groups via representation theory and machine learning. This project aims to address questions about the representation theory of braid groups with important consequences in low-dimensional topology. This project expects to make significant progress on central open problems surrounding knot invariants, and create new tools that will have wide applicability in representation theory. It will pioneer the use of highly innovative methods from category theory and machine learning recently developed by the investigators. Potential benefits of this project include: the resolution of important long-standing conjectures about braid groups, the development of emerging technology with significant implications for representation theory, and the training of Australian scientists in a vital area of research.

Funded Activity Details

Start Date: 03-03-2023

End Date: 02-03-2026

Funding Scheme: Discovery Projects

Funding Amount: $382,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Deep learning | Category theory k theory homological algebra | Algebra and number theory | Pure mathematics

ANZSRC Socio-Economic Objective (SEO)

Other Keywords

Algebra and number theory | Category theory k theory homological algebra | Deep learning | Expanding Knowledge In the Mathematical Sciences | Pure mathematics

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