Objective
Expanders are highly connected sparse graphs with certain expansion properties. The theory of expanders has enjoyed surprising growth in the past several decades, partial due to its close interplay with other areas of mathematics and theoretical computer science, including analysis, number theory, probability, complexity theory and design of robust networks. This proposed research is highly intra-disciplinary, concerning a variant called sublinear expanders. This notion is essential in the recent resolutions of several long-standing conjectures. The goal of this proposal is to develop general framework using sublinear expanders for embedding problems concerning sparse combinatorial structures that arise naturally in extremal graph theory, geometry and topology.
The supervisor Professor Szabó is a world renowned expert in combinatorics, working on problems at the interface of algebra, graph theory, probability, and topology. His expertise on expander graphs and cycle embeddings will play a key role in the proposed project. He is also experienced in advising junior researchers, having advised 4 post-doctoral researchers and 13 PhD students.
Dr. Liu obtained his PhD from the University of Illinois at Urbana-Champaign in December 2015. He then moved to the University of Warwick as a post-doctoral researcher. In September 2016, he was awarded by the Leverhulme Trust an Early Career Fellowship, a prestigious award for young researchers in the UK. He has published 21 papers, most of which appeared in journals of international repute. His work has established novel connections between extremal combinatorics and additive number theory. This proposed project will help Liu further improve his skills on teaching, research and supervising to pursue an academic career.
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: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences mathematics pure mathematics topology
- natural sciences mathematics pure mathematics arithmetics
- natural sciences computer and information sciences computational science
- natural sciences mathematics pure mathematics discrete mathematics graph theory
- natural sciences mathematics pure mathematics discrete mathematics combinatorics
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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)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
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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H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions
MAIN PROGRAMME
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H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility
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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.
MSCA-IF - Marie Skłodowska-Curie Individual Fellowships (IF)
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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) H2020-MSCA-IF-2017
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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.
14195 Berlin
Germany
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.