Discovery Projects - Grant ID: DP240101787

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP240101787

Funding Status
Active

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Funded Activity Summary

Shuffle algebras and vertex models. Shuffle algebras are important new mathematical structures that offer a new approaches and techniques to solve outstanding open problems in a variety of branches of mathematics, including mathematical physics, algebraic geometry and combinatorics. This project proposes to find solutions to key open problems using connections between shuffle algebras and integrable lattice models. The expected outcomes include (i) a new framework of shuffle algebra techniques to solve challenging research problems in mathematical physics and statistical mechanics, (ii) practical and computationally feasible constructions of shuffle algebras using vertex models, (iii) solutions to unresolved spectral problems of open quantum systems.

Funded Activity Details

Start Date: 01-01-2024

End Date: 31-12-2026

Funding Scheme: Discovery Projects

Funding Amount: $461,398.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Statistical mechanics physical combinatorics and mathematical aspects of condensed matter | Algebraic structures in mathematical physics | Integrable systems (classical and quantum) | Mathematical physics

ANZSRC Socio-Economic Objective (SEO)

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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