Approximate algebraic structure and applications

Project Information

AAS

Grant agreement ID: 279438

Project closed

Start date 1 October 2011

End date 30 September 2016

Funded under

• Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)

Total cost € 1 000 000,00

EU contribution € 1 000 000,00

Coordinated by

THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD
United Kingdom

Objective

This project studies several mathematical topics with a related theme, all of them part of the relatively new discipline known as additive combinatorics.

We look at approximate, or rough, variants of familiar mathematical notions such as group, polynomial or homomorphism. In each case we seek to describe the structure of these approximate objects, and then to give applications of the resulting theorems. This endeavour has already lead to groundbreaking results in the theory of prime numbers, group theory and combinatorial number theory.

Fields of science

• natural sciences › mathematics › pure mathematics › discrete mathematics › combinatorics
• natural sciences › mathematics › pure mathematics › arithmetics › prime numbers

Programme(s)

• FP7-IDEAS-ERC - Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)

Topic(s)

• ERC-SG-PE1 - ERC Starting Grant - Mathematical foundations

Call for proposal

ERC-2011-StG_20101014
See other projects for this call

Funding Scheme

ERC-SG - ERC Starting Grant

Host institution

THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD

• EU contribution: € 634 717,04
• Address: WELLINGTON SQUARE UNIVERSITY OFFICES ; OX1 2JD Oxford ; United Kingdom
• Region: South East (England) › Berkshire, Buckinghamshire and Oxfordshire › Oxfordshire
• Activity type: Higher or Secondary Education Establishments
• Principal investigator: Ben Green (Prof.)
• Administrative Contact: Gill Wells (Ms.)
• Total cost: No data

Beneficiaries (2)

THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD

United Kingdom

• EU contribution: € 634 717,04
• Address: WELLINGTON SQUARE UNIVERSITY OFFICES ; OX1 2JD Oxford
• Region: South East (England) › Berkshire, Buckinghamshire and Oxfordshire › Oxfordshire
• Activity type: Higher or Secondary Education Establishments
• Principal investigator: Ben Green (Prof.)
• Administrative Contact: Gill Wells (Ms.)
• Total cost: No data

THE CHANCELLOR MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE

Participation ended

United Kingdom

• EU contribution: € 365 282,96
• Address: TRINITY LANE THE OLD SCHOOLS ; CB2 1TN Cambridge
• Region: East of England › East Anglia › Cambridgeshire CC
• Activity type: Higher or Secondary Education Establishments
• Administrative Contact: Renata Schaeffer (Ms.)
• Total cost: No data