Research

Broadly, I am interested in partial differential equations arising in general relativity and mathematical physics. I am particularly interested in nonlinear wave equations, the regularity properties of hyperbolic and dispersive PDEs, scattering theory, and the geometry and physics of asymptotic structures of spacetimes and fields.

Publications

Papers

1. Controlled regularity at future null infinity from past asymptotic initial data: the wave equation (with J. Marajh and J. A. Valiente Kroon).
   Submitted (2025).
   arXiv:2508.04690, 30 pages.
2. Global finite energy solutions of the Maxwell-scalar field system on the Einstein cylinder (with J.-P. Nicolas).
   Submitted (2025).
   arXiv:2507.16750, 46 pages.
3. One-dimensional Carrollian fluids III: global existence and weak continuity in $L^{\mathrm{\infty }}$ (with P. M. Petropoulos and S. Schulz).
   Journal of the London Mathematical Society 111 (6), e70186 (2025).
   arXiv:2407.05972, 31 pages.
4. One-dimensional Carrollian fluids II: $C^1$ blow-up criteria
   (with N. Athanasiou, P. M. Petropoulos, and S. Schulz).
   Journal of the London Mathematical Society 112 (5), e70354 (2025).
   arXiv:2407.05971, 24 pages.
5. One-dimensional Carrollian fluids I: Carroll–Galilei duality
   (with N. Athanasiou, P. M. Petropoulos, and S. Schulz).
   Journal of High Energy Physics (JHEP) 11 (2024) 012.
   arXiv:2407.05962, 23 pages.
6. Wave map null form estimates via Peter–Weyl theory.
   Journal of Functional Analysis 289 (6), 111040 (2025).
   arXiv:2307.13052, 36 pages.
7. Controlled regularity at future null infinity from past asymptotic initial data: massless fields (with J. A. Valiente Kroon).
   Submitted (2023).
   arXiv:2304.08270, 42 pages.
8. Conformal scattering of Maxwell potentials (with J.-P. Nicolas).
   Annales de l'Institut Fourier, online first.
   arXiv:2211.14579, 48 pages.
9. Large data decay of Yang–Mills–Higgs fields on Minkowski and de Sitter spacetimes.
   Journal of Mathematical Physics 60 (12), 121504 (2019).
   arXiv:1902.08519, 22 pages.
10. Conformal scattering of the Maxwell-scalar field system on de Sitter space.
    Journal of Hyperbolic Differential Equations 16 (04), 743-791 (2019). arXiv:1809.01559, 39 pages.

Proceedings

1. Intro: at the interface of asymptotics, conformal methods, and analysis in general relativity (with J. A. Valiente Kroon).
   Philosophical Transactions of the Royal Society A 382:20230048 (2024).
   
2. Scattering of Maxwell potentials on curved spacetimes.
   Ghent Methusalem Colloquium: Extended Abstracts 21/22, pp. 57-64 (2024).
   arXiv:2307.08398, 6 pages.

Edited Volumes

1. At the interface of asymptotics, conformal methods and analysis in general relativity (with J. A. Valiente Kroon).
   Philosophical Transactions of the Royal Society A 382 (2267) (2024).
   
   Proceedings for the conference of the same title, which took place at the Royal Society in London on 9–10 May 2023.

PhD Thesis

• Conformal scattering and analysis of asymptotic properties of gauge theories in general relativity. Oxford University Research Archive (2020).