Discovery Projects - Grant ID: DP150101689

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP150101689

Funding Status
Closed

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Funded Activity Summary

Fast algorithms for zeta functions of algebraic varieties. The project aims to develop new algorithms for counting the number of solutions to polynomial equations in several variables. This fundamental counting problem appears in many areas of mathematics and computer science, such as number theory and cryptography. The aim of the project is to develop algorithms that are more efficient and that are able to handle much larger problems than existing algorithms. The new algorithms are expected to have applications to the numerical investigation of important unsolved problems in number theory, such as the Sato-Tate, Lang-Trotter and Birch-Swinnerton-Dyer conjectures.

Funded Activity Details

Start Date: 01-01-2015

End Date: 30-06-2019

Funding Scheme: Discovery Projects

Funding Amount: $325,500.00

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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