Discovery Projects - Grant ID: DP0453134

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP0453134

Funding Status
Closed

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Funded Activity Summary

p-Adic Methods in Arithmetic Geometry. This project concerns algorithms for determining the number of solutions to systems of polynomial equations over finite fields by p-adic methods. Our goal is to determine a fundamental invariant, the zeta function, appearing in arithmetic geometry, whose characterization was the subject of the famous Weil conjectures. We seek to understand and develop p-adic methods for determining zeta functions, taking as point of departure the methods of Satoh and Mestre for elliptic curves. Applications of this work include public key cryptography and coding theory, having direct impact in e-commerce and telecommunications.

Funded Activity Details

Start Date: 01-04-2004

End Date: 02-11-2007

Funding Scheme: Discovery Projects

Funding Amount: $210,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Number Theory And Field Theory | Pure Mathematics |

ANZSRC Socio-Economic Objective (SEO)

Mathematical sciences

Other Keywords

Mathematical sciences | Number Theory And Field Theory | Pure Mathematics

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