Research Interests:
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:
***All arxiv versions are updated regularly.***
- (joint with Hamed Masaood)
The Case Against Smooth Null Infinity V: Early-Time Asymptotics of Linearised Gravity Around Schwarzschild for Fixed Spherical Harmonic Modes
, arXiv (2024), 170 pages -
The Case Against Smooth Null Infinity IV: Linearised Gravity Around Schwarzschild -- An Overview
, arXiv (2024), Phil. Trans. R. Soc. A 382: 20230039 - (joint with Dejan Gajic)
On the Relation Between Asymptotic Charges, the Failure of Peeling and Late-time Tails
, arXiv (2022), Class. Quantum Grav. 39 195006 (2022) -
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)
Oberwolfach report:
On The Asymptotic Behaviour of Gravitational Radiation, Oberwolfach Rep. 40 (2021)
PhD Thesis:
Mathematical Studies On The Asymptotic Behaviour of Gravitational Radiation in General Relativity, [Apollo - University of Cambridge Repository] , 2023, 459 pages
Other:
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.