Papers
19. (joint with Y. Angelopoulos and D. Gajic) Global existence
for non-linear wave equations satisfying the null condition on extremal
Reissner-Nordstrom, in preparation
18. (joint with Y. Angelopoulos and D. Gajic) Sharp trace estimates on null infinity, in preparation
17. (joint with Y. Angelopoulos and D. Gajic) Late-time asymptotics for the wave equation on extremal Reissner-Nordstrom and applications, preprint
16. (joint with Y. Angelopoulos and D. Gajic) Higher-order asymptotics for the wave equation on spherically symmetric, stationary spacetimes, in preparation
15. (joint with Y. Angelopoulos and D. Gajic) The Price's law for all angular frequencies, in preparation
14. (joint with Y. Angelopoulos and D. Gajic) Scattering theory for the
wave equation on extremal black holes, in preparation
13. (joint with Y. Angelopoulos and D. Gajic) Late-time asymptotics for
the wave equation on spherically symmetric, stationary
spacetimes, arXiv:1612.01566
12. (joint with Y. Angelopoulos and D. Gajic) A vector field approach
to almost-sharp decay for the wave equation on spherically symmetric,
stationary spacetimes, arXiv:1612.01565
11. (joint with Y. Angelopoulos and D. Gajic) Asymptotic blow-up for a
class of semilinear wave equations on extremal Reissner-Nordstrom
spacetimes, arXiv:1612.01562
10. (joint with Y. Angelopoulos and D. Gajic) The trapping effect on
degenerate horizons, to appear in Annales Henri Poincare,
arXiv:1512.09094 (2015)
9. On a foliation-covariant elliptic operator on null hypersurface,
International Mathematical Research Notices DOI: 10.1093 (2014),
available online at arXiv:1310.1348
8. The characteristic gluing problem and conservation laws for the wave
equation on null hypersurfaces, submitted, 58 pages, available online
at arXiv:1310.1365
7. Nonlinear scalar instability on extremal black holes, Physical Review D 87 (2013), 084052
6. A note on instabilities of extremal black holes under scalar perturbations from afar, Classical and Quantum Gravity 30 (2013) 095010
[Article selected by the Editorial Board of Classical and Quantum Gravity to be one of the journal's Highlights for 2012-2013]
5. Horizon instability of extremal black holes, Advances in Theoretical and Mathematical Physics 19 (2015), 507-530
4. Decay of axisymmetric solutions of the wave equation on extreme Kerr backgrounds, Journal of Functional Analysis 263 (2012), 2770-283, available online at http://arxiv.org/abs/1110.2006
3. Stability and instability of extreme Reissner-Nordstrom black hole
spacetimes for linear scalar perturbations I, Communications in
Mathematical Physics 307 (2011), 17-63, available online at http://arxiv.org/abs/1110.2007
2. Stability and instability of extreme Reissner-Nordstrom black hole
spacetimes for linear scalar perturbations II, Annales Henri Poincare 8 (2011), 1491-1538, available online at http://arxiv.org/abs/1110.2009
1. The wave equation on extreme Reissner-Nordstrom black hole
spacetimes: stability and instability results,
http://arxiv.org/abs/1006.0283, 117 pages
Survey Publications
1. (Joint with Igor Rodnianski) Global behaviour of solutions to
the Einstein's equations, General Relativity and Gravitation, Cambridge
University Press