General Relativity, Analysis of Partial Differential Equations
Current Research Focus:
My current research interests lie in the mathematical analysis of the precise structure and asymptotic behaviour of gravitational waves near infinity. I am also interested in classical scattering problems.
Publications and Preprints:
- (joint with Dejan Gajic)
On the Relation Between Asymptotic Charges, the Failure of Peeling and Late-time Tails, arXiv (2022), 24 pages
The Case Against Smooth Null Infinity III: Early-Time Asymptotics for Higher \(\ell\)-Modes of Linear Waves on a Schwarzschild Background, arXiv (2021), Annals of PDE (2022)
The Case Against Smooth Null Infinity II: A Logarithmically Modified Price's Law, arXiv (2021), 34 pages, accepted by Adv. in Theor. and Math. Phys.
The Case Against Smooth Null Infinity I: Heuristics and Counter-Examples, arXiv (2021), Ann. Henri Poincaré 23, p. 829–921 (2021)
- (joint with V. J. Bolsinger and P. Schmelcher)
Quantum dynamics of two trapped bosons following infinite interaction quenches, Phys. Rev. A 97, 013606 (2018)
On The Asymptotic Behaviour of Gravitational Radiation, Oberwolfach Rep. 40 (2021)
During the course of my examination in Cambridge, I also wrote an essay on Weak Cosmic Censorship in spherical symmetry. This essay covers the papers Spherically symmetric spacetimes with a trapped surface by Mihalis Dafermos and The Global Structure of Spherically Symmetric Charged Scalar Field Spacetimes by Jonathan Kommemi. You can find it here.