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Department of Pure Mathematics and Mathematical Statistics

Lowndean Professor of Astronomy and Geometry

Research Interests: Partial Differential Equations, General Relativity

Publications

Boundedness and Decay for the Teukolsky Equation on Kerr Spacetimes I: The Case $|a|\ll M$ | a | ≪ M
M Dafermos, G Holzegel, I Rodnianski
– Ann PDE
(2019)
5,
2
The linear stability of the Schwarzschild solution to gravitational perturbations
M Dafermos, G Holzegel, I Rodnianski
– Acta Mathematica
(2019)
222,
1
Rough initial data and the strength of the blue-shift instability on cosmological black holes with Lambda > 0
M Dafermos, Y Shlapentokh-Rothman
– Classical and Quantum Gravity
(2018)
35,
195010
A scattering theory for the wave equation on Kerr black hole exteriors
M Dafermos, I Rodnianski, Y Shlapentokh-Rothman
– Annales Scientifiques de l École Normale Supérieure
(2018)
51,
371
Time-Translation Invariance of Scattering Maps and Blue-Shift Instabilities on Kerr Black Hole Spacetimes
M Dafermos, Y Shlapentokh-Rothman
– Communications in Mathematical Physics
(2017)
350,
985
Decay for solutions of the wave equation on Kerr exterior spacetimes III: The full subextremal case |a| < M
M Dafermos, I Rodnianski, Y Shlapentokh-Rothman
– Annals of Mathematics
(2016)
183,
787
A scattering theory construction of dynamical vacuum black holes
M Dafermos, G Holzegel, I Rodnianski
THE FORMATION OF BLACK HOLES IN GENERAL RELATIVITY [after D. Christodoulou]
M Dafermos
– ASTERISQUE
(2013)
243
Black holes without spacelike singularities
M Dafermos
– Arxiv preprint arXiv:1201.1797
(2014)
332,
729
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
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Room

E2.08

Telephone

01223 764293