Discovery Projects - Grant ID: DP0344579

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP0344579

Funding Status
Closed

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Funded Activity Summary

Continued Fractions and Torsion on Hyperelliptic Curves. Scientific advance should not blindly add to our knowledge; a true advance brings insights that collapse different issues into one. Understanding more is to need to remember less. For an important class of examples, this project identifies the study of a fundamental invariant of a quadratic number field, its regulator and hence its class number, with maximum torsion on the Jacobian variety of an hyperelliptic curve. The investigator's methods will surprise some longstanding problems into submission and in particular will lead them to reveal full data on torsion on hyperelliptic curves of low genus.

Funded Activity Details

Start Date: 01-01-2003

End Date: 31-12-2006

Funding Scheme: Discovery Projects

Funding Amount: $60,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Number Theory And Field Theory | Pure Mathematics | Discrete Mathematics | Data Encryption

ANZSRC Socio-Economic Objective (SEO)

Information processing services | Mathematical sciences |

Other Keywords

Data Encryption | Discrete Mathematics | Information processing services | Mathematical sciences | Number Theory And Field Theory | Pure Mathematics

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