Discovery Projects - Grant ID: DP140101186

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP140101186

Funding Status
Closed

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Funded Activity Summary

Elliptic special functions. Although elliptic functions and special functions are both classical areas of mathematics, the field of elliptic special functions was only established in the last two decades. It combines ideas from analysis, modular forms and statistical mechanics to tackle problems in number theory (elliptic curves), algebra (elliptic quantum groups), mathematical physics (Seiberg duality) and more. This project aims to settle two important problems in the field of elliptic special functions: the resolution of Boyd's conjectures concerning Mahler measures and L-values of elliptic curves, and the construction of an Askey-Wilson-Koorwinder theory of elliptic biorthogonal functions for the A-type root system.

Funded Activity Details

Start Date: 01-01-2014

End Date: 30-04-2017

Funding Scheme: Discovery Projects

Funding Amount: $340,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

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 | Pure Mathematics

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