Discovery Projects - Grant ID: DP190102897

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP190102897

Funding Status
Active

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Funded Activity Summary

Matrix product multi-variable polynomials from quantum algebras. This project aims to expand the theory of polynomials and develop generalised polynomial families using connections to affine and toroidal algebras. Many combinatorial and computational problems in pure and applied mathematics as well as mathematical physics can be solved using polynomials in many variables, such as Macdonald polynomials. This project is anticipated to address the current difficulty of implementing symmetric and non-symmetric polynomials in symbolic algebra packages by developing completely new algorithms. New understanding from the project is expected to facilitate challenging computational problems of measurable quantities in quantum systems.

Funded Activity Details

Start Date: 01-06-2019

End Date: 31-12-2023

Funding Scheme: Discovery Projects

Funding Amount: $300,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Integrable Systems (Classical and Quantum) | Algebraic Structures in Mathematical Physics | Statistical Mechanics, Physical Combinatorics and Mathematical Aspects of Condensed Matter | Mathematical Physics |

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Mathematical Sciences

Other Keywords

Algebraic Structures in Mathematical Physics | Expanding Knowledge in the Mathematical Sciences | Integrable Systems (Classical and Quantum) | Mathematical Physics | Statistical Mechanics, Physical Combinatorics and Mathematical Aspects of Condensed Matter

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