Discovery Early Career Researcher Award - Grant ID: DE240100447

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DE240100447

Funding Status
Active

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Funded Activity Summary

The geometry of braids and triangulated categories. Triangulated categories play a central role in geometry, algebra, and topology. Their study can uncover deep structure connecting different areas of mathematics. This project aims to use novel approaches to answer fundamental questions about triangulated categories and their symmetries. These symmetries are encoded by braids, which are important objects with many applications across science. The project is expected to benefit Australia by stimulating research in mathematics and computer science. It will invite connections with leading experts and students around the world and encourage overseas collaboration. There is a potential long-term benefit to cybersecurity, towards the development of new encryption schemes based on braids.

Funded Activity Details

Start Date: 01-01-2024

End Date: 31-12-2026

Funding Scheme: Discovery Early Career Researcher Award

Funding Amount: $438,847.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Category theory k theory homological algebra | Combinatorics and discrete mathematics (excl. physical combinatorics) | Algebra and number theory | Pure mathematics |

ANZSRC Socio-Economic Objective (SEO)

Other Keywords

Algebra and number theory | Category theory k theory homological algebra | Combinatorics and discrete mathematics (excl. physical combinatorics) | Cybersecurity | Expanding Knowledge In the Information and Computing Sciences | Expanding Knowledge In the Mathematical Sciences | Pure mathematics

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