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

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