ARC Future Fellowships - Grant ID: FT160100219

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/FT160100219

Funding Status
Active

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Funded Activity Summary

Counting points on algebraic surfaces. This project aims to develop algorithms for calculating the number of solutions to polynomial equations and to compute zeta functions of certain types of algebraic varieties. Existing algorithms cannot solve these problems. The new algorithms will enable researchers in number theory to test and refine conjectures on generalisations of many famous problems, such as the Sato-Tate conjecture, the Lang-Trotter conjecture and the Birch-Swinnerton-Dyer conjecture. The project will also have a flow-on effect in other areas of mathematics and computer science where zeta functions play a central role, including cryptography, coding theory and mathematical physics.

Funded Activity Details

Start Date: 30-06-2017

End Date: 29-06-2023

Funding Scheme: ARC Future Fellowships

Funding Amount: $805,054.00

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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