Discovery Projects - Grant ID: DP0880724

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP0880724

Funding Status
Closed

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Funded Activity Summary

Integral lattices and their theta series. Lattice algorithms play a very important role in solving problems in algebra, number theory, combinatorics, optimisation and cryptography. Our proposed work will fill a major hole in current capabilities for computing with lattices. The enhanced ability to enumerate short vectors will have important applications to Diophantine equations, linear optimisation and also to understanding the security of cryptosystems based on the difficulty of finding a shortest vector. The work on theta series should result in the first algorithm for this problem. This will also find many applications including to the construction of spherical codes and designs.

Funded Activity Details

Start Date: 29-05-2008

End Date: 29-05-2011

Funding Scheme: Discovery Projects

Funding Amount: $360,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Number Theory And Field Theory | Pure Mathematics | Group Theory And Generalisations (Incl. Topological Groups And Lie

ANZSRC Socio-Economic Objective (SEO)

Mathematical sciences |

Other Keywords

Group Theory And Generalisations (Incl. Topological Groups And Lie | Mathematical sciences | Number Theory And Field Theory | Pure Mathematics

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