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, as well as in the construction of spacetimes describing the dynamics of multiple localised objects such as black holes.

Publications and Preprints:

***All arxiv versions are updated regularly.***

  1. (joint with Istvan Kadar) A note on exterior stability of finite time singularity formation for nonlinear wave equations, Preprint (2026), 20 pages
  2. (joint with Dejan Gajic) Linear and nonlinear late-time tails on dynamical black hole spacetimes via time integrals, Preprint (2025), 70 pages
  3. (joint with Istvan Kadar) Scattering, Polyhomogeneity and Asymptotics for Quasilinear Wave Equations From Past to Future Null Infinity , arXiv (2025), 160 pages (To appear as research monograph in Springer: Progress in Mathematical Physics)
  4. (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 (To appear in Arch. Rat. Mech. Anal.)
  5. The Case Against Smooth Null Infinity IV: Linearised Gravity Around Schwarzschild -- An Overview, arXiv (2024), Phil. Trans. R. Soc. A 382: 20230039
  6. (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)
  7. 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 8 12 (2022)
  8. The Case Against Smooth Null Infinity II: A Logarithmically Modified Price's Law, arXiv (2021) Advances in Theoretical and Mathematical Physics, 26 10 (2022)
  9. The Case Against Smooth Null Infinity I: Heuristics and Counter-Examples, arXiv (2021), Ann. Henri Poincaré 23, p. 829–921 (2021)
  10. (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:

PhD Thesis:

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.