Welcome! I am a Chapman fellow in pure mathematics at Imperial College London.

My research interests revolve around the mathematical theory of black holes in General Relativity. I am specifically interested in understanding the scattering theory of the Einstein equations. My research is rooted in the areas of partial differential equations and differential geometry.

Previously, I was a research associate here at Imperial between October 2022 and September 2023; My mentor was Martin Taylor. Before that, I was a research associate at the Department of Pure Mathematics and Mathematical Statistics, University of Cambridge from October 2021 to September 2022. I did my PhD at the Cambridge Centre for Analysis (CCA) under the supervision of Mihalis Dafermos, Claude Warnick and Malcolm Perry.

Email: h.masaood22[at]imperial.ac.ukOffice: Huxley 639

PhD in Mathematical Analysis, DAMTP, University of Cambridge (2022) MASt in Mathematics, DAMTP, University of Cambridge (2017) B.S. Physics, American University of Beirut (2015)

A Scattering Theory for Linearised Gravity on the Exterior of the Schwarzschild Black Hole I: The Teukolsky Equations, Commun. Math. Phys.(2022).A Scattering Theory for Linearised Gravity on the Exterior of the Schwarzschild Black Hole II: The Full System , Adv. in Math.(2024) .The Case Against Smooth Null Infinity V: Early-Time Asymptotics of Linearised Gravity Around Schwarzschild for Fixed Spherical Harmonic Modes, with Leonhard Kehrberger.

MATH70135 Analytic Methods for Partial Differential Equations, Autumn term 2023

Part III Introduction to Nonlinear Analysis (Michaelmas 2021) Part III General Relativity (Michaelmas 2018, Michaelmas 2019) Part III Black Holes (Lent 2021) Part II Analysis and Topology (Michaelmas 2020) Part II Linear Analysis (Michaelmas 2019, Michaelmas 2020) Part II Electrodynamics (Michaelmas 2018, Michaelmas 2019)

Gravitational physics and its mathematical analysis, SwissMAP research station at Les Diablerets, 06 June 2024 Topics in General Relativity, University of Münster, 09 January 2024 Waves on the Thames, King's College London, 07 June 2023 London PDE seminar, Queen Mary University of London, 24 Feb 2023 Geometric Analysis and PDE seminar, University of Cambridge, 30 Jan 2023 DAMTP GR Seminar, University of Cambridge, 20 May 2022 Geometry and Analysis Seminar, Queen Mary University of London, 16 Nov 2021 Mathematical GR and Hyperbolic PDE Seminar, Princeton University, 18 Jun 2021 Junior Analysis Seminar, Imperial College London, 25 Nov 2020 C.A.K.E. Seminar, University of Cambridge, 12 Feb 2020 DAMTP GR Seminar, University of Cambridge, 11 Oct 2019 Joint CDT Colloquium 2019: Interplay of Probability, Statistics and Analysis, University of Warwick, 04 Apr 2019