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SREACEP SIGNED

Sparse Robust Expander with Applications in Combinatorial Embedding Problems

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EC-Contrib. €

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Project "SREACEP" data sheet

The following table provides information about the project.

Coordinator
THE UNIVERSITY OF WARWICK 

Organization address
address: Kirby Corner Road - University House
city: COVENTRY
postcode: CV4 8UW
website: www.warwick.ac.uk

contact info
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surname: n.a.
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 Coordinator Country United Kingdom [UK]
 Total cost 183˙454 €
 EC max contribution 183˙454 € (100%)
 Programme 1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility)
 Code Call H2020-MSCA-IF-2016
 Funding Scheme MSCA-IF-EF-ST
 Starting year 2018
 Duration (year-month-day) from 2018-01-01   to  2019-12-31

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    THE UNIVERSITY OF WARWICK UK (COVENTRY) coordinator 183˙454.00

Map

 Project objective

Expanders is a fundamental concept in combinatorics. From the application point of view, expanders have become a powerful tool in studying real life problems such as network design and error correcting codes. From the theoretical point of view, it is considered as a sparse analogue of Szemeredi's regularity (recognised by the 2012 Abel prize) with connections in algebra, analysis, geometry and topology.

An exciting recent development has been the study of `sparse robust expanders' first introduced by Komlos and Szemeredi. Significant progress in several seemingly unrelated long-standing open problems has been established using techniques derived in this theory, including in work of Dr. Sharifzadeh. The proposed research aims to further develop this theory and derive a framework for solving embedding problems of combinatorial and topological nature. Tools developed here may find further applications that build bridges between combinatorics and other fields.

The UK has been a leader in combinatorics and Warwick is one of the best in the UK with a combinatorics group of international reputation. The supervisor Professor Pikhurko is a world-leading expert in combinatorics. One of the focus of his projects funded by ERC and EPSRC is to study the expansion of graphs and groups with applications in analysis, which is closely related to this proposal. He is experienced in supervising postdocs and PhD students.

Dr. Sharifzadeh obtained her PhD from the University of Illinois at Urbana-Champaign in Summer 2016. She has written 9 papers, 7 of which are published in leading international journals. In her work, she successfully applied combinatorial methods to resolve classical open problems in additive number theory, extremal combinatorics and topological graph theory. As an ambitious young researcher, she is determined to pursue an academic career. This proposal will integrate her into the European system and help her acquire the necessary skills to achieve her goals.

 Publications

year authors and title journal last update
List of publications.
2018 József Balogh, Hong Liu, Maryam Sharifzadeh, Andrew Treglown
Sharp bound on the number of maximal sum-free subsets of integers
published pages: 1885-1911, ISSN: 1435-9855, DOI: 10.4171/jems/802
Journal of the European Mathematical Society 20/8 2020-03-05
2019 József Balogh, Shagnik Das, Hong Liu, Maryam Sharifzadeh, Tuan Tran
Structure and Supersaturation for Intersecting Families
published pages: , ISSN: 1077-8926, DOI: 10.37236/7683
The Electronic Journal of Combinatorics 26/2 2020-03-05
2019 Hong Liu, Oleg Pikhurko, Maryam Sharifzadeh
Edges not in any monochromatic copy of a fixed graph
published pages: 16-43, ISSN: 0095-8956, DOI: 10.1016/j.jctb.2018.07.007
Journal of Combinatorial Theory, Series B 135 2020-03-05

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The information about "SREACEP" are provided by the European Opendata Portal: CORDIS opendata.

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