Objective
Driven by applications in data security and networking, computational techniques are gaining importance in a range of areas in number theory and arithmetic geometry. The GTEM network will unite 12 centres of expertise of international stature in this broad range in a common research project to make hitherto purely abstract parts of advanced number theory and arithmetic geometry accessible to efficient computation. This project will develop feasible computational methods in the areas with proven or expected applications in cryptology and coding theory. To illustrate the goalm recall that numerical analysis is the discipline that makes the mathematical notion of a real number, which is intrinsically infinite in nature, accessible to calculations on a computer through schemes for efficient finite precision computations. The present objective is to find methods to model more complex mathematical objects than real numbers such as elliptic curves and Galois representations with a particular focus on the objects a rising in the mathematics of data security and networking. The training goal is to educate young European mathematicians that are capable of meeting the challenges of new applications of advanced number theory and arithmetic geometry in communications, bot h for academia and industry. The network will appoint 12 ESRs that will each complete a PhD thesis on tasks in the project.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques.
- natural sciencescomputer and information sciencescomputer securitydata protection
- natural sciencescomputer and information sciencescomputer securitycryptography
- natural sciencesmathematicspure mathematicsarithmetics
- natural sciencesmathematicspure mathematicsgeometry
- natural sciencesmathematicsapplied mathematicsnumerical analysis
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Call for proposal
FP6-2005-MOBILITY-1
See other projects for this call
Funding Scheme
RTN - Marie Curie actions-Research Training NetworksCoordinator
LEIDEN
Netherlands