Discovery Early Career Researcher Award - Grant ID: DE200101802

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DE200101802

Funding Status
Active

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Funded Activity Summary

Combinatorial and Representation Theoretic Methods in Number Theory. This Project aims to explore connections of Number Theory and Representation Theory by utilising tools of Algebraic Combinatorics. Symmetries and constructions of crucial number theoretic objects such as Whittaker functions are underpinned by models for Lie algebras and root systems. The Project expects to advance the algebraic framework of the constructions. Expected outcomes include a unified combinatorial model of these objects, and an extension of the costructions to the infinite dimensional setting. This will benefit the applications in Number Theory and strengthen nascent connections with Mathematical Physics.

Funded Activity Details

Start Date: 20-01-2020

End Date: 02-10-2022

Funding Scheme: Discovery Early Career Researcher Award

Funding Amount: $354,016.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Lie Groups, Harmonic and Fourier Analysis | Pure Mathematics | Algebra and Number Theory

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Mathematical Sciences |

Other Keywords

Algebra and Number Theory | Expanding Knowledge in the Mathematical Sciences | Lie Groups, Harmonic and Fourier Analysis | Pure Mathematics

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