Lowndean Professor of Astronomy and Geometry
Research Interests: Partial Differential Equations, General Relativity
Publications
The linear stability of the Schwarzschild solution to gravitational perturbations
– Acta Mathematica
(2019)
222,
1
(DOI: 10.4310/acta.2019.v222.n1.a1)
Boundedness and Decay for the Teukolsky Equation on Kerr Spacetimes I: The Case $|a|\ll M$
– Ann PDE
(2019)
5,
2
(DOI: 10.1007/s40818-018-0058-8)
Rough initial data and the strength of the blue-shift instability on cosmological black holes with Lambda > 0
– Classical and Quantum Gravity
(2018)
35,
195010
(DOI: 10.1088/1361-6382/aadbcf)
A scattering theory for the wave equation on Kerr black hole exteriors
– Annales Scientifiques de l École Normale Supérieure
(2018)
51,
371
(DOI: 10.24033/asens.2358)
Time-Translation Invariance of Scattering Maps and Blue-Shift Instabilities on Kerr Black Hole Spacetimes
– Communications in Mathematical Physics
(2017)
350,
985
(DOI: 10.1007/s00220-016-2771-z)
Decay for solutions of the wave equation on Kerr exterior spacetimes III: The full subextremal case vertical bar a vertical bar < M
– Annals of Mathematics
(2016)
183,
787
(DOI: 10.4007/annals.2016.183.3.2)
Strong Cosmic Censorship for Surface‐Symmetric Cosmological Spacetimes with Collisionless Matter
– Communications on Pure and Applied Mathematics
(2016)
69,
815
(DOI: 10.1002/cpa.21628)
Black holes without spacelike singularities
– Arxiv preprint arXiv:1201.1797
(2014)
332,
729
(DOI: 10.1007/s00220-014-2063-4)
The mathematical analysis of black holes in general relativity
– PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS (ICM 2014), VOL III
(2014)
747
A scattering theory construction of dynamical vacuum black holes
(2013)
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