Research

Analysis, Partial Differential Equations, General Relativity

(with R. Unger) Gravitational collapse to extremal black holes and the third law of black hole thermodynamics (2022), submitted
arXiv:2211.15742
(with A. Figalli) On the prescribed negative Gauss curvature problem for graphs
Discrete Contin. Dyn. Syst. (2022)
arXiv:2209.02326
(with J. P. G. Ramos) Uniqueness of solutions to nonlinear Schrödinger equations from their zeros
Annals of PDE 8, 21 (2022)
arXiv:2201.05109
Blowup of the local energy of linear waves at the Reissner–Nordström–AdS Cauchy horizon
Class. Quantum Grav. 38 (2021) 214001
arXiv:2108.04280
(with M. Van de Moortel) Strong Cosmic Censorship in the presence of matter: the decisive effect of horizon oscillations on the black hole interior geometry
Analysis & PDE (2022, to appear)
arXiv:2105.04604
Diophantine approximation as Cosmic Censor for Kerr–AdS black holes
Invent. Math. 227 (2022), no. 3, 1169–1321
arXiv:2007.12614
Uniform boundedness and continuity at the Cauchy horizon for linear waves on Reissner–Nordström–AdS black holes
Comm. Math. Phys. 376 (2020), no. 1, 145–200
arXiv:1812.06142
(with Y. Shlapentokh-Rothman) A scattering theory for linear waves on the interior of Reissner–Nordström black holes
Ann. Henri Poincaré 20 (2019), no. 5, 1583–1650
arXiv:1804.05438
The maximal excess charge for a family of density-matrix-functional theories including Hartree–Fock and Müller theories
J. Math. Phys. 58 (2017), no. 1, 011901
arXiv:1609.06272

On Strong Cosmic Censorship for Λ < 0
Oberwolfach Rep. 18 (2021), no. 3, pp. 2157–2267
Scattering of linear waves on the interior of Reissner–Nordström black holes
Oberwolfach Rep. 15 (2018), pp. 2157–2251

Diophantine Approximation as Cosmic Censor for AdS Black Holes
Doctoral thesis, DPMMS, University of Cambridge (2020)