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Singularities of Geometric Partial Differential Equations


The Geometric Analysis groups at Warwick, Imperial and Cambridge have joined together for a major new project funded by an EPSRC Programme grant 'Singularities of Geometric Partial Differential Equations'.

 

Overview:

This project combines 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 is to understand the singularities that arise in the geometric PDE lying behind these topics.

Hiring:

A further post for researchers with interest in some of the following areas: Geometric analysis, geometric flows, nonlinear partial differential equations and differential geometry. See Job advertisement for further details.

PEOPLE

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


Researchers:
  Wenshuai Jiang Grigorios Fournodavlos
  Warwick, Topping Cambridge, Dafermos
  (EPSRC Programme Grant) (EPSRC Programme Grant)
     
  Norman Zergaenge Thomas Johnson
  Warwick, Topping Cambridge, Dafermos
  (EPSRC Programme Grant) IEPSRC Programme Grant)
     

 

Previously funded by the Grant:

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
    (EPSRC Programme Grant)
     
Rafael Montezuma    
Imperial, Neves    
(EPSRC Programme Grant)    



 

 

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)


This project is part of the wider Geometric Analysis groups at Warwick, Imperial and Cambridge, that include:

Permanent Faculty and Lecturers:

Simon Donaldson (Imperial)
Mark Haskins (Imperial)
Gustav Holzegel (Imperial)
Mario Micallef (Warwick)
Andrea Mondino (Warwick)
Ben Sharp (Warwick, WZL)
Claude Warnick (Imperial)
Neshan Wickramasekera (Cambridge)
Weiyi Zhang (Warwick)

Postdoctoral students, fellows and visitors:

Jan Sbierski, University of Cambridge (DAMTP)
Martin Taylor, University of Cambridge
Shiwu Yang, University of Cambridge
Kai Zheng, University of Warwick

PhD students:

Louis Bonthrone, University of Warwick
- Supervised by Peter Topping and Weiyi Zhang
Dominic Dold, University of Cambridge
- Supervised by Mihalis Dafermos
Dejan Gajic, University of Cambridge, (DAMTP)
- Supervised by Mihalis Dafermos
Andrew McLeod, University of Warwick
- Supervised by Peter Topping
Kornel Maczynski, University of Cambridge
- Supervised by Neshan Wickramasekera

Georgios Moschidis, University of Princeton

- Supervised by Mihalis Dafermos

Federico Pasqualotto, University of Princeton

- Supervised by Mihalis Dafermos

Yuchi Sun, Imperial College, London

- Supervised by Andre Neves
Martin Taylor, University of Cambridge
- Supervised by Mihalis Dafermos

Celso Viana, Imperial College, London

- Supervised by Andre Neves
 B. Wells-Day, University of Cambridge
- Supervised by Neshan Wickramasekera

 

EVENTS

Forthcoming events:


3 November 2017 Junior Warwick-Imperial-Cambridge Geometric Analysis Seminar University of Cambridge
26 May - 2 June 2018 Geometric Analysis  International Centre for Mathematical Analysis, Edinburgh

 

Previous events:
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 is 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