Objective
A fundamental question in many areas of mathematics is how to understand the relationship between local and global structure. For instance, what can you say about the local structures of a large, complicated network? How is global structure constrained by what we see locally? How can we piece together local structure to obtain global information? Problems of this type have become urgent in many parts of mathematics and related areas, including model theory, geometric group theory, topology, combinatorics, computer science, statistical physics, biology, probability, network science, and data analysis. Concrete examples include DNA sequencing, where fragments of a genetic sequence need to be assembled to a global sequence, and problems in big data, where the global structure is too large to access directly and its properties must be inferred from “local” information.
The goal of this project is to investigate the relationship between the local and global structure of discrete objects. The proposal draws on methods from combinatorics and other areas of mathematics and computer science. It has four strands: (1) asymptotic structure, with the goal of developing an analogue of the Graph Minors Project in the new area of coarse graph theory; (2) global structure and induced substructure, with the goal of developing a rough structural theory for graphs with forbidden induced subgraphs; (3) reconstruction from local information, with the goal of building a coherent body of theory for reconstructing a wide variety of mathematical objects; and (4) structure and noise, with the goal of developing rigorous methods for identifying hidden structure in the presence of noise.
Fields of science (EuroSciVoc)
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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.
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HORIZON.1.1 - European Research Council (ERC)
MAIN PROGRAMME
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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.
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.
HORIZON-ERC - HORIZON ERC Grants
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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.
(opens in new window) ERC-2025-ADG
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Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.
OX1 2JD Oxford
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.