Objective This project concerns research on the frontier between discrete mathematics and computer science, and focuses on studying properties of randomly behaving discrete structures. Specifically, it studies quasi-random properties of k-uniform hypergraphs by using a combination of hypergraph regularity methods and flag algebras. The properties the project will be mainly focused on are containments and counting small substructures in large quasi-random hypergraphs. These questions are closely related to problems from other areas such as number theory, algorithm design, and property testing. Fields of science natural sciencesmathematicspure mathematicsarithmeticsnatural sciencesmathematicspure mathematicsalgebranatural sciencescomputer and information sciencesnatural sciencesmathematicspure mathematicsdiscrete mathematicsgraph theory Keywords extremal combinatorics quasi-randomness regularity method limits of discrete structures hypergraphs flag algebras computer-assisted proofs Programme(s) H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions Main Programme H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility Topic(s) MSCA-IF-2017 - Individual Fellowships Call for proposal H2020-MSCA-IF-2017 See other projects for this call Funding Scheme MSCA-IF - Marie Skłodowska-Curie Individual Fellowships (IF) Coordinator UNIVERSITAET HAMBURG Net EU contribution € 239 860,80 Address Mittelweg 177 20148 Hamburg Germany See on map Region Hamburg Hamburg Hamburg Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Other funding € 0,00 Partners (1) Sort alphabetically Sort by Net EU contribution Expand all Collapse all Partner Partner organisations contribute to the implementation of the action, but do not sign the Grant Agreement. EMORY UNIVERSITY NON PROFIT CORP United States Net EU contribution € 0,00 Address Clifton road, ne, 4th floor 1599 30322 Atlanta See on map Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Other funding € 160 130,40