About Me

I am a 1st year Senior Heilbronn Research Fellow in the Department of Applied Mathematics and Theoretical Physics, University of Cambridge. I submitted my PhD thesis in the Department of Applied Mathematics and Theoretical Physics, University of Cambridge, supervised by Mihalis Dafermos, and then spend 3 years as a Heilbronn Research Fellow at Imperial College London, before starting my current role.
My current research interests are in Mathematical General Relativity, specifically looking at the scattering map on collapsing spacetimes

Contacts

Email: Fta23@cam.ac.uk
Office: H2.02, Centre for Mathematical Sciences.
Address: Centre for Mathematical Sciences, Wilberforce Road, Cambridge, CB3 0WA.

Research Interests

My interests are in Mathematical General Relativity. More specifically, I study at the scattering map of the linear wave equation on gravitationally collapsing backgrounds. More recently, I have also been looking at the applications of this to Hawking radiation.

Papers

The Scattering Map on Oppenheimer-Snyder Spacetime, Ann. Henri Poincaré 21 (2020), 2031-2092

A Rigorous Study of Hawking Radiation on Collapsing Charged Spherically Symmetric Spacetimes (PhD Thesis, University of Cambridge, 2021)

The Scattering Map on Collapsing Charged Spherically Symmetric Spacetimes Class. Quantum Grav. (2024) 41 065015

A Rigorous Study of Hawking Radiation on Collapsing Charged Spherically Symmetric Spacetimes

A Rigorous Study of Hawking Radiation on Collapsing Axisymmetric Spacetimes (Preprint available on request)

Invited Talks

GR and Hyperbolic PDE monthly Seminar, Princeton, 19 February 2019

Analysis Seminar, Imperial College London, 11 October 2019

General Relativity Seminar, University of Cambridge, 7 June, 2019

General Relativity Seminar, University of Cambridge, 26 November, 2021

London PDEs Seminar, Imperial College London, 10 December 2021

Relativity Seminar, University of Oxford, 8 February, 2022

CCR Princeton Colloquium, 2023

GR seminar, Leipzig, 12 January 2024

Seminar/Colloquium Series Organised

London PDEs Seminar, 2021 to 2024

London Heilbronn Colloquia Series, 2022 to 2023

Supervising

Bye-Fellowship at Lucy Cavendish College, Cambridge, 2022-25

Bye-Fellowship at Jesus College, Cambridge, 2024-27

Imperial MSc project on Well-posedness of the Navier-Stokes Phase-Field Crystal system, Muhammed Ali Mehmood, 2021-2022

Part IB Mathematics, Variational Principles, 2017 to present

Part II Mathematics, Dynamical Systems, 2017 to 2020 inclusive

Part II Mathematics, Classical Dynamics, 2018, 2019, 2024

Part II Mathematics, General Relativity, 2019, 2020

Part IB Natural Sciences, Mathematical Methods, 2023 to present

Part IB Natural Sciences, Classical Dynamics, 2023 to present

Marking

Sixth Term Examination Papers, Marking, 2016 to 2019 inclusive

Sixth Term Examination Papers, Marking Supervisor, 2020

Part II Integrable Systems, Numerical Analysis and Mathematical Biology, Mark Checking, 2019

Education

PhD at Jesus College, University of Cambridge (2017-2021)

MMath, Part III in Mathematics at Jesus College, University of Cambridge (2016-2017)

BA in Mathematics at Jesus College, University of Cambridge (2013-2016)

Awards

RA Watchman Prize in Mathematics at Jesus College, University of Cambridge (2017)

Keller Prize at Jesus College, University of Cambridge (2017)

Scholarship at Jesus College, University of Cambridge (2015-2017)

Sir Harold Spencer Jones Prize in Mathematics at Jesus College, University of Cambridge (2016)

Ware Prize in Mathematics at Jesus College, University of Cambridge (2015)

Bronowski Prize in Mathematics at Jesus College, University of Cambridge (2014)

Exhibition Award at Jesus College, University of Cambridge (2014)

Other Interests

I enjoy playing badminton for a local club, and for Jesus College, Cambridge. I also enjoy playing the trumpet, and am a member of Cambridge Kung-Fu.