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Singularities of Geometric Partial Differential Equations

 

Overview:

This project combined the expertise at Warwick, Imperial and Cambridge to tackle a suite of inter-related problems in Geometric Flows, Minimal Surfaces, Mathematical Relativity and neighbouring areas. A key goal was to understand the singularities that arise in the geometric PDE lying behind these topics.

The project ran from 2013 to 2019.

People

Principal investigator:
Peter Topping
University of Warwick
 
Co-Investigators :
Andre Neves   Mihalis Dafermos
Imperial College, London   University of Cambridge
Researchers:

 

Alix Deruelle Panagiotis Gianniotis Otis Chodosh
Warwick, Topping Warwick, Topping Cambridge, Dafermos
     
Jacob Bernstein Ben Sharp Paul Bryan
Cambridge, Wickramasekera Imperial, Neves Warwick, Topping
     
Cecile Huneau Kai Zheng Lucas Ambrozio
Cambridge, Dafermos Warwick, Topping Imperial, Neves
     
Rafael Montezuma Wenshuai Jiang Norman Zergaenge
Imperial, Neves Warwick, Topping Warwick, Topping
     
Lucas Ambrozio Grigorios Fournadavlos Thomas Johnson

Warwick, Topping

Cambridge, Dafermos Cambridge, Dafermos
     

Raphael Hochard

   

Warwick, Topping

   

 

 

Project Partners:

Professor Sigurd Angenent (University of Wisconsin-Madison, USA); Professor Fernando Coda Marques (IMPA, Brazil; Princeton, USA); Professor Camillo De Lellis (Universität Zϋrich); Professor Igor Rodnianski (MIT, USA; Princeton, USA).

 

Scientific Advisers:

Professor Piotr Chrusciel (Vienna); Professor Frank Pacard (École Polytechnique); Professor Richard Schoen (Stanford, Irvine)

 

EVENTS

26 May - 2 June 2018 Geometric Analysis  International Centre for Mathematical Analysis, Edinburgh
3 November 2017 Junior Warwick-Imperial-Cambridge Geometric Analysis Seminar University of Cambridge
8-10 May 2017 Geometry - in honour of Mario Micallef's 60th birthday University of Warwick
12-16 December 2016 Geometric PDEs University of Warwick
6 January 2016 Junior Warwick-Imperial-Cambridge Geometric Analysis Seminar Queen Mary University of London
15-17 July 2015 Warwick-Imperial-Cambridge Geometric Analysis Seminar Imperial College, London
20-24 July 2015 Advances in Geometric Analysis - A conference and workshop in honour of Rick Schoen's 65th Birthday University of Warwick
12 December 2014 Junior Warwick-Imperial-Cambridge Geometric Analysis Seminar De Morgan House, London Mathematical Society, London
19 March 2014 Warwick-Imperial-Cambridge Geometric Analysis Seminar University of Cambridge
9-10 December 2013 Junior Warwick-Imperial-Cambridge Geometric Analysis Seminar University of Warwick
27 September 2013 A day in Analysis and Geometry University of Warwick
30 May 2013 Warwick-Imperial-Cambridge Geometric Analysis Seminar Imperial College, London
10 May 2012 Geometric Analysis Seminar University of Warwick
     
     
     

 

Additional funding for the wider groups was provided by:
CAPES (Brazil) CNPq (Brazil) European Rsearch Council (ERC)
Imperial College, London The Leverhulme Trust National Science Foundation (USA)
National Science Foundation of China University of Cambridge University of Warwick
and other sources    


 


 
 

 

Contacts:

Peter Topping

Chris Richley (see contact below)

Principal Investigator Administrator

 EPSRC