Objective
"This proposal sits at the interface of analytic number theory and selected topics, viewed through the prism of Diophantine equations defining higher-dimensional algebraic varieties. A core part of the proposal involves using analytic methods (such as complex analysis, Fourier analysis and additive combinatorics) to tackle a range of problems about Diophantine equations. These include such
basic questions as precisely when families of equations admit integer or rational solutions and, furthermore, how ``dense'' these solutions are when they exist. In the reverse direction, a significant component of the proposal is dedicated to established problems in number theory (such as stable cohomology of moduli spaces and uniform spectral gaps for arithmetic lattices) which can be tackled via the successful analysis of intermediary Diophantine equations."
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. See: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
- natural sciences mathematics pure mathematics mathematical analysis fourier analysis
- natural sciences mathematics pure mathematics arithmetics
- natural sciences mathematics pure mathematics mathematical analysis complex analysis
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Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
ERC-2012-StG_20111012
See other projects for this call
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Host institution
BS8 1QU Bristol
United Kingdom
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.