Publications
Papers and preprints
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Lipschitz inextendibility of weak null singularities from curvature blow-up
preprint
arXiv:2409.18838
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The C^0-inextendibility of a class of FLRW spacetimes
preprint
arXiv:2312.07443
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Uniqueness and non-uniqueness results for spacetime extensions
International Mathematics Research Notices, Vol. 2024 (2024), Issue 20, 13221-13254
arXiv:2208.07752
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Instability of the Kerr Cauchy horizon under linearised gravitational
perturbations
Annals of PDE, Vol. 9 (2023), No. 9
arXiv:2201.12295
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On holonomy singularities in general relativity & the C^{0,1}_{loc}-inextendibility
of spacetimes
Duke Mathematical Journal, Vol. 171 (2022), Issue 14, 2881-2942
arXiv:2007.12049
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Generic blow-up results for the wave equation in the interior of a Schwarzschild
black hole
(with G. Fournodavlos)
Archive for Rational Mechanics and Analysis, Vol. 235 (2020), Issue 2, 927-971
arXiv:1804.01941
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Predictability of subluminal and superluminal wave equations
(with F. Eperon and H. Reall)
Communications in Mathematical Physics, Vol. 368 (2019), Issue 2, 585-626
arXiv:1802.03020
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On the proof of the C^0-inextendibility of the Schwarzschild spacetime
Journal of Physics: Conference Series, Vol. 968 (2018)
arXiv:1711.11380
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Timelike completeness as an obstruction to C^0-extensions
(with G. Galloway and E. Ling)
Communications in Mathematical Physics, Vol. 359 (2018), Issue 3, 937-949
arXiv:1704.00353
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Instability results for the wave equation in the interior of Kerr black holes
(with J. Luk)
Journal of Functional Analysis, Vol. 271 (2016), Issue 7, 1948-1995
arXiv:1512.08259
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The C^0-inextendibility of the Schwarzschild spacetime and the spacelike diameter in
Lorentzian geometry
Journal of Differential Geometry, Vol. 108, No. 2 (2018), 319-378
arXiv:1507.00601
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Characterisation of the Energy of Gaussian Beams on Lorentzian Manifolds - with
Applications to Black Hole Spacetimes
Analysis & PDE, Vol. 8 (2015), No. 6, 1379–1420
arXiv:1311.2477
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On the Existence of a Maximal Cauchy Development for the Einstein Equations - a
Dezornification
Annales Henri Poincaré, Vol. 17 (2016), Issue 2, 301-329
arXiv:1309.7591
Short reports
Doctoral thesis
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On the initial value problem in general relativity and wave propagation in black-hole
spacetimes
DSpace