Discovery Early Career Researcher Award - Grant ID: DE200100407

Funding Activity

Website
https://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DE200100407

Funding Status
Closed

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Funded Activity Summary

Homology theories in quantum topology. This project aims to resolve a major 25-year-old open problem relating the quantum topology of knots, 3- and 4-dimensional spaces to higher representation theory, the study of hidden symmetries of algebraic structures. The project expects to use homological invariants of knots and the higher representation theory of quantum groups to construct highly anticipated invariants of 3- and 4-dimensional manifolds and tools to compute these invariants by reduction to basic building blocks. Expected outcomes also include new connections to diverse areas in mathematics. This is expected to benefit Australian science by invigorating collaboration in mathematics and theoretical physics and by attracting students and distinguished research visitors.

Funded Activity Details

Start Date: 17-12-2020

End Date: 18-12-2020

Funding Scheme: Discovery Early Career Researcher Award

Funding Amount: $427,066.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Category Theory, K Theory, Homological Algebra | Pure Mathematics | Mathematical Aspects of Quantum and Conformal Field Theory, Quantum Gravity and String Theory | Topology

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Physical Sciences | Expanding Knowledge in the Mathematical Sciences |

Other Keywords

Category Theory, K Theory, Homological Algebra | Expanding Knowledge in the Mathematical Sciences | Expanding Knowledge in the Physical Sciences | Mathematical Aspects of Quantum and Conformal Field Theory, Quantum Gravity and String Theory | Pure Mathematics | Topology

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