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SREACEP SIGNED

Sparse Robust Expander with Applications in Combinatorial Embedding Problems

Total Cost €

EC-Contrib. €

Partnership

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SREACEP project word cloud

Explore the words cloud of the SREACEP project. It provides you a very rough idea of what is the project "SREACEP" about.

tools papers published summer theoretical journals extremal champaign graphs graph determined derive young combinatorial researcher abel closely 2016 view tool goals geometry he urbana acquire point regularity unrelated resolve integrate embedding first students uk professor skills sharifzadeh academic phd life dr recognised illinois 2012 world postdocs erc reputation connections written nature theory pikhurko codes bridges career pursue topological techniques network supervisor expanders additive szemeredi international sparse progress error group supervising she university komlos algebra fundamental powerful successfully seemingly groups correcting prize expansion expert leader solving epsrc topology framework combinatorics warwick

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 title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.
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 THE UNIVERSITY OF WARWICK Organization address address: Kirby Corner Road - University House city: COVENTRY postcode: CV4 8UW website: www.warwick.ac.uk contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	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

List of publications.
year	authors and title	journal	last update
2018	JÃ³zsef 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	JÃ³zsef 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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