# Department of Pure Mathematics and Mathematical Statistics

Lowndean Professor of Astronomy and Geometry

Research Interests: Partial Differential Equations, General Relativity

## Publications

THE FORMATION OF BLACK HOLES IN GENERAL RELATIVITY [after D. Christodoulou]
M Dafermos
– ASTERISQUE
(2013)
243
A NEW PHYSICAL-SPACE APPROACH TO DECAY FOR THE WAVE EQUATION WITH APPLICATIONS TO BLACK HOLE SPACETIMES
M Dafermos, I Rodnianski
– XVIth International Congress on Mathematical Physics
(2012)
421
A note on the collapse of small data self-gravitating massless collisionless matter
M Dafermos
– Journal of Hyperbolic Differential Equations
(2011)
3,
589
A proof of the uniform boundedness of solutions to the wave equation on slowly rotating Kerr backgrounds
M Dafermos, I Rodnianski
– Inventiones mathematicae
(2011)
185,
467
A proof of the uniform boundedness of solutions to the wave equation on slowly rotating Kerr backgrounds
M Dafermos, I Rodnianski
– Inventiones Mathematicae
(2011)
185,
467
Decay for solutions of the wave equation on Kerr exterior spacetimes I-II: The cases| a|<< M or axisymmetry
M Dafermos, I Rodnianski
– Arxiv preprint arXiv:1010.5132
(2010)
The black hole stability problem for linear scalar perturbations
M Dafermos, I Rodnianski
– Arxiv preprint arXiv:1010.5137
(2010)
The Red-Shift Effect and Radiation Decay on Black Hole Spacetimes
M Dafermos, I Rodnianski
– Communications on Pure and Applied Mathematics
(2009)
62,
859
The wave equation on axisymmetric stationary black hole backgrounds
M Dafermos
– AIP Conference Proceedings
(2009)
1122,
19
Black Hole Formation from a Complete Regular Past
M Dafermos
– Communications in Mathematical Physics
(2009)
289,
579
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E2.08

01223 764293