1. Exhaustions of complete manifolds of bounded curvature, Tsing-Hua lectures on geometry and analysis, 319--322, Int. Press Cambridge, MA, 1997
2. Stability and instability of the Cauchy horizon for the spherically symmetric Einstein-Maxwell-scalar field equations, Ann. of Math. 158 (2003), no. 3, 875--928
3. On "time-periodic" black-hole solutions to certain spherically symmetric Einstein-matter systems, Commun. Math. Phys. 238 (2003), 411--427
4. Stability and Instability of the Reissner-Nordstrom Cauchy horizon and the problem of uniqueness in general relativity, Contemp. Math. 350 (2004), 99--113, related article available online at http://www.arxiv.org/abs/gr-qc/0209052
5. Price's law, mass inflation, and strong cosmic censorship, in Racz, I., ed. Relativity today: Proceedings of the Seventh Hungarian Relativity Workshop, Budapeset, 2004, pp. 79--90, related article available online at http://www.arxiv.org/abs/gr-qc/0401121
6. Spherically symmetric spacetimes with a trapped surface, Class. Quantum Grav. 22 (2005), no. 11, 2221--2232
7. The interior of charged black holes and the problem of uniqueness in general relativity, Comm. Pure Appl. Math. 58 (2005), 0445--0504
8. with Igor Rodnianski, Small-amplitude nonlinear waves on a black hole background, J. Math. Pures Appl. 84 (2005), 1147--1172
9. with Igor Rodnianski, A proof of Price's law for the collapse of a self-gravitating scalar field, Invent. Math. 162 (2005), 381--457
10. with Alan Rendall, An extension principle for the Einstein-Vlasov system under spherical symmetry, Ann. Henri Poincare 6 (2005), 1137--1155
11. with Alan Rendall, Inextendibility of expanding cosmological models with symmetry, Class. Quantum Grav. 22 (2005), no. 23, L143--L147
12. A note on the collapse of small-data massless collisionless matter, J. Hyperbolic Differ. Equ. 3 (2006), no. 4, 589--598
13. On naked singularities and the collapse of self-gravitating Higgs fields, Adv. Theor. Math. Phys.9 (2005) 575--591
14. Black hole formation from a complete regular past, Commun. Math. Phys. 289 (2009), no. 2, 579--596
15. with Igor Rodnianski, A note on boundary value problems for black hole evolutions, available online at http://www.arxiv.org/abs/gr-qc/0403034, 8 pages
16. with Gustav Holzegel, On the nonlinear stability of triaxial Bianchi IX black holes, Adv. Theor. Math. Phys. 10 (2006) 503--523
17. with Igor Rodnianski, The redshift effect and radiation decay on black hole spacetimes, Comm. Pure Appl. Math. 62 (2009), no. 7, 859--919
18. with Alan Rendall, Strong cosmic censorship for T^2-symmetric cosmological spacetimes with collisionless matter, available online at http://www.arxiv.org/abs/gr-qc/0610075, 17 pages
19. with Alan Rendall, Strong cosmic censorship for surface-symmetric cosmological spacetimes with collisionless matter, available online at http://www.arxiv.org/abs/gr-qc/0701034, 83 pages
20. with Igor Rodnianski, The wave equation on Schwarzschild-de Sitter spacetimes, available online at http://www.arxiv.org/abs/0709.2766, 48 pages
21. with Igor Rodnianski, A note on energy currents and decay for the wave equation on a Schwarzschild background, available online at http://www.arxiv.org/abs/0710.0171, 10 pages
22. General relativity and the Einstein equations, in Princeton Companion to Mathematics (T. Gowers, ed.), Princeton Univ. Press 2008
23. with Igor Rodnianski, A proof of the uniform boundedness of solutions to the wave equation on slowly rotating Kerr backgrounds, available online at http://www.arxiv.org/abs/0805.4309, 71 pages
24. with Igor Rodnianski, Lectures on black holes and linear waves, available online at http://www.arxiv.org/abs/0811.0354, 116 pages
25. The evolution problem in general relativity, Current Developments in Mathematics 2008, 1--66, Int. Press, Somerville, MA, 2009
26. The wave equation on axisymmetric stationary black hole backgrounds, to appear in Proceedings of the Spanish Relativity Meeting, Salamanca 2008, available online at http://www.arxiv.org/abs/0901.4125, 20 pages
27. with Igor Rodnianski, A new physical-space approach to decay for the wave equation with applications to black hole spacetimes, to appear in Proceedings of the ICMP, Prague 2009, related article available online at http://arxiv.org/abs/0910.4957, 14 pages
Extended Abstracts
1. Linear and non-linear waves in general relativity, Oberwolfach Rep. 2 (2005), pp. 1399--1403
2. Stability of black holes and singularities in general relativity, Oberwolfach Rep. 4 (2007), pp. 2381--2387
3. The black hole stability problem, to appear in Oberwolfach Rep.