# 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 |

**Researchers:**

Lucas Ambrozio | Wenshuai Jiang | Grigorios Fournodavlos |

Imperial, Neves | Warwick, Topping | Cambridge, Dafermos |

(EPSRC Programme Grant) | (EPSRC Programme Grant) | (EPSRC Programme Grant) |

Rafael Montezuma | Norman Zergaenge | Thomas Johnson |

Imperial, Neves | Warwick, Topping | Cambridge, Dafermos |

(EPSRC Programme Grant) | (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 | |

Cambridge, Dafermos | 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)

#### 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:*

26 May - 2 June 2018 | Geometric Analysis | International Centre for Mathematical Analysis, Edinburgh |

*Previous events:*

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 |