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Michael James Cole

Michael James

Postgraduate Research Student

Email: m.j.cole@qmul.ac.uk
Room Number: France House

Profile

PhD Supervisor: 
Dr Juan Valiente-Kroon

Teaching

  • Semester 1, 2014/15 - Undergraduate mathematics tutorials: Essential Foundation Mathematics
  • Semester 2, 2014/15 - Undergraduate mathematics tutorials: Complex Variables, Differential Equations
  • Semester 3, 2014/15 - Undergraduate mathematics revision classes and drop-in sessions
  • Semester 1, 2015/16 - Undergraduate mathematics tutorials: Relativity
  • Semester 2, 2015/16 - Undergraduate mathematics tutorials: Calculus II
  • Semester 3, 2015/16 - Undergraduate mathematics revision classes and drop-in sessions
  • Semester 1, 2016/17 - Undergraduate mathematics tutorials: Relativity
  • Semester 2, 2016/17 - Undergraduate mathematics tutorials: Complex Variables
  • Semester 3, 2016/17 - Undergraduate mathematics revision classes and drop-in sessions

Research

Research Interests:

I am a PhD student in the Geometry and Analysis Group in the School of Mathematical Sciences, at Queen Mary University of London (link is external). I am also a member of the Relativity and Cosmology group within the School of Physics and Astronomy (link is external).

My research interests relate to the mathematical analysis of Einstein's equations of general relativity and their solutions, in particular the global properties of spacetimes. I am investigating the construction of geometric invariants that measure the deviation of arbitrary solutions from interesting exact solutions, such as the Kerr solution (describing a rotating black hole). These invariants can be used to investigate various outstanding problems in general relativity such as the evolution of nonlinear perturbations of the Kerr solution, the uniqueness of black hole spacetimes, and the Penrose inequality.

Publications

Public Engagement

Conferences and Workshops

99 Years of General Relativity (link is external); ESI-EMS-IAMP Summer school on Mathematical Relativity
Vienna, Austria, July 28th - August 1st, 2014
Junior scientist Andrejewski Days: 100 Years of General Relativity (link is external), Spring School
Brandenburg an der Havel, Germany, March 23rd - April 4th, 2015
The 15th British Gravity (BritGrav) Meeting (link is external)
Birmingham, UK, 20 - 21st April 2015
Einstein's legacy: celebrating 100 years of general relativity (link is external)
QMUL, London, 28th - 29th November 2015
6th Central European Relativity Seminar (link is external)
Prague, Czech Republic, 28th - 30th January 2016
Collabor8 (link is external); Meeting for early-career researchers
QMUL, London, 18th February 2016
GR21: 21st International Conference on General Relativity and Gravitation (link is external)
New York, USA, 10th - 15th July 2016
Central European Relativity Seminar (link is external)
Bremen, Germany, 16th - 18th February 2017
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