Fred Alford

About Me

Me

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

Contacts

Email: F.Alford21@imperial.ac.uk
Office: 612 Huxley Building
Address: 180 Queen's Gate, South Kensington, London SW7 2AZ.

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 PoincarĂ© 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 (Preprint available on request)
  • A Rigorous Study of Hawking Radiation on Collapsing Charged Spherically Symmetric 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
  • Supervising

  • Bye-Fellowship at Lucy Cavendish College, Cambridge, 2022-23
  • Imperial MSc project on Well-posedness of the Navier-Stokes Phase-Field Crystal system, Muhammed Ali Mehmood, 2021-2022
  • Part IB Variational Principles, Michaelmas 2017, 2018, 2019, 2020, 2021, 2022
  • Part II Dynamical Systems, Michaelmas 2017, 2018, 2019, 2020
  • Part II Classical Dynamics, Michaelmas 2018, 2019
  • Part II General Relativity, Lent 2019, 2020
  • Marking

  • Sixth Term Examination Papers, Marking, 2016, 2017, 2018, 2019
  • 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, as both a student and an assistant instructor.