# Department of Pure Mathematics and Mathematical Statistics

Lowndean Professor of Astronomy and Geometry

Research Interests: Partial Differential Equations, General Relativity

## Publications

The linear stability of the Schwarzschild solution to gravitational perturbations
M Dafermos, G Holzegel, I Rodnianski
– Acta Mathematica
(2019)
222,
1
Boundedness and Decay for the Teukolsky Equation on Kerr Spacetimes I: The Case $|a|\ll M$
M Dafermos, G Holzegel, I Rodnianski
– Annals of PDE
(2019)
5,
2
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
The interior of dynamical vacuum black holes I: The $C^0$-stability of the Kerr Cauchy horizon
M Dafermos, J Luk
(2017)
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
Strong Cosmic Censorship for Surface-Symmetric Cosmological Spacetimes with Collisionless Matter
– Communications on Pure and Applied Mathematics
(2016)
69,
815
Black holes without spacelike singularities
M Dafermos
– Arxiv preprint arXiv:1201.1797
(2014)
332,
729
The mathematical analysis of black holes in general relativity
M Dafermos
– PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS (ICM 2014), VOL III
(2014)
747
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E2.08

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