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Random Combinatorial Designs

Objective

The objective of this proposal is to develop fundamental and influential research into combinatorial designs. These objects have fascinated pure mathematicians for over 200 years and have also found many applications, for example in biological experiment design or in the design of strong error correcting codes in order to transmit data securely. The majority of research in design theory has focused on the existence and construction of designs. However recent breakthroughs have opened up exciting new perspectives, allowing for a much deeper understanding of these objects. The aim of this project is to develop these new directions by adopting a probabilistic stance and studying random designs. Our key objectives explore the existence and statistics of global structures in large designs and the longstanding problem of efficient algorithms for random sampling of designs. Through this, the project will foster connections between areas of pure mathematics, in particular extremal and probabilistic combinatorics, and the field of randomized algorithms in theoretical computer science. In order to achieve the proposal's objectives, the researchers will build upon a range of powerful novel methods, drawing on the expertise of the experienced researcher in absorption techniques and spanning structures and that of the host in rainbow structures and Markov chains. This will foster an exchange of knowledge between the two parties and greatly enhance the research potential of the experienced researcher. This project thus provides a pivotal opportunity for the development of his career as a young scientist, enabling him to push this exciting branch of design theory forward, broaden his knowledge and cement himself as a prominent researcher in several disciplines.

Fields of science (EuroSciVoc)

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Keywords

Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)

Programme(s)

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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.

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.

HORIZON-TMA-MSCA-PF-EF - HORIZON TMA MSCA Postdoctoral Fellowships - European Fellowships

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Call for proposal

Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.

(opens in new window) HORIZON-MSCA-2022-PF-01

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Coordinator

UNIVERSITAT POLITECNICA DE CATALUNYA
Net EU contribution

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.

€ 165 312,96
Address
CALLE JORDI GIRONA 31
08034 Barcelona
Spain

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Region
Este Cataluña Barcelona
Activity type
Higher or Secondary Education Establishments
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Total cost

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.

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