2024
Discrete groups of packed, non-positively curved, Gromov hyperbolic metric spaces
Geometriae Dedicata. 2024-04-01. Vol. 218, num. 2, p. 36. DOI : 10.1007/s10711-023-00874-z.2022
A proof of the instability of AdS for the Einstein-massless Vlasov system
Inventiones Mathematicae. 2022-09-27. DOI : 10.1007/s00222-022-01152-7.- On the non-existence of trapped surfaces under low-regularity bounds (with J. Luk). ArXiv preprint: arXiv:2204.09855.
- The dimensional Brunn-Minkowski inequality in Gauss space (with A. Eskenazis), Journal of Functional Analysis 280(6) (2021), 108914 (click here for the arXiv preprint).
- A proof of the instability of AdS for the Einstein–massless Vlasov system, submitted. ArXiv preprint: arXiv:1812.04268.
- The characteristic initial-boundary value problem for the Einstein–massless Vlasov system in spherical symmetry, submitted. ArXiv preprint: arXiv:1812.04274.
- A proof of the instability of AdS for the Einstein–null dust system with an inner mirror, Analysis & PDE 13(6) (2020), 1671-1754 (click here for the arXiv preprint).
- The Einstein–null dust system in spherical symmetry with an inner mirror: structure of the maximal development and Cauchy stability, submitted. ArXiv preprint: arXiv:1704.08685.
- A proof of Friedman’s ergosphere instability for scalar waves, Communications in Mathematical Physics 358(2) (2018), 437-520 (click here for the arXiv preprint).
- Superradiant instabilities for short-range non-negative potentials on Kerr spacetimes and applications, Journal of Functional Analysis 273 (2017), 2719-2813 (click here for the arXiv preprint).
- The rpr^{p}-weighted energy method of Dafermos and Rodnianski in general asymptotically flat spacetimes and applications, Annals of PDE 2:6 (2016), 1-194, doi:10.1007/s40818-016-0011-7 (click here for the arXiv preprint).
- Logarithmic local energy decay for scalar waves on a general class of asymptotically flat spacetimes, Annals of PDE 2:5 (2016), 1-124, doi:10.1007/s40818-016-0010-8 (click here for the arXiv preprint).