I am Zoe Wyatt, a Herchel Smith Postdoctoral Research Fellow at the Department of Pure Mathematics and Mathematical Statistics and a Junior Research Fellow at Darwin College, University of Cambridge.

My research lies at the intersection of general relativity, differential geometry and hyperbolic PDEs. I am very interested in studying PDEs derived from theories of higher dimensional gravity, string theory, particle physics and cosmology. My contact details are firstname.surname@maths.cam.ac.uk.

Brief CV

  • Oct. 2020 – present: Herchel Smith Postdoctoral Research Fellow, DPMMS, and Junior Research Fellow, Darwin College, University of Cambridge. From spring 2022 I will be a Lecturer in Analysis at King’s College London.
  • July 2020 – Sept. 2020: LMS Early Career Fellow, Queen Mary University London.
  • Oct. 2015 – June 2020: PhD in Mathematics, University of Edinburgh. My supervisor was Pieter Blue and a copy of my thesis can be found here.
    • 2018 – 2019: 6 month research visit to the University of Vienna working under David Fajman.
    • 2017 – 2018: 8 month research visit to Sorbonne-UPMC working under Philippe LeFloch.
  • 2010 – 2014: BA in Mathematics and MMath (Part III) at Newnham College, University of Cambridge.

Papers and preprints

  1. Slowly expanding stable dust spacetimes, with David Fajman and Max Ofner, submitted.
  2. Hidden structure and sharp asymptotics for the Dirac–Klein-Gordon system in two space dimensions, with Shijie Dong, submitted.
  3. Stability of some two dimensional wave maps, with Shijie Dong, submitted.
  4. Two dimensional wave–Klein-Gordon equations with semilinear nonlinearities, with Shijie Dong, submitted.
  5. Global stability of spacetimes with supersymmetric compactifications, with Lars Andersson, Pieter Blue and Shing-Tung Yau, submitted.
  6. Stabilizing relativistic fluids on spacetimes with non-accelerated expansion, with David Fajman and Todd Oliynyk, Communications in Mathematical Physics, 383 (2021) 401-426.
  7. Global evolution of the U(1) Higgs Boson: nonlinear stability and uniform energy bounds, with Philippe LeFloch and Shijie Dong, Annales Henri Poincaré, Vol 22 (2021) 677–713.
  8. Attractors of the Einstein-Klein-Gordon system, with David Fajman, Communications in Partial Differential Equations, Vol. 46 Issue 1 (2021) 1-30.
  9. Stability of a coupled wave-Klein-Gordon system with quadratic nonlinearities, with Shijie Dong, Journal of Differential Equations, Vol. 269 Issue 9 (2020) 7470-7497.
  10. The Weak Null Condition and Kaluza-Klein Spacetimes, Journal of Hyperbolic Differential Equations, Vol. 15, No. 2 (2018) 219-258.

Awards, grants and fellowships

  • 2021, Certificate of Commendation, Edinburgh Mathematical Society PhD Thesis Prize.
  • 2020, London Mathematical Society Early Career Fellowship to visit Prof. David Berman at QMUL.
  • 2020, REWIRE Grant and Fellowship, a Marie Skłodowska-Curie Action COFUND Programme at the University of Vienna (€200,000, declined for Herchel Smith position).
  • 2020, Henslow Junior Research Fellowship, Darwin College Cambridge (declined for Herchel Smith position).
  • 2019, Laura Wisewell Travel Scholarship, University of Edinburgh.
  • 2018, Sir William Darling Memorial Prize, University of Edinburgh, for my maths outreach work.
  • 2017, Postgraduate Research Student Essay Prize, top grade, University of Edinburgh.
  • 2015, funded PhD positions at the University of Cambridge (declined) and MIGSAA (UoE and HWU).
  • 2014, Anne Clough Prize for excellent exam performance, Newnham College, University of Cambridge.
  • 2013, Marjorie Tunnicliffe Prize for excellent exam performance, Newnham College, University of Cambridge.

Organised conferences

  • 2022, Summer School at the Institute Mittag-Leffler. Co-organised with Anna Sakovich and Melanie Graf.

Invited research visits and conferences

Other maths projects

  • I wrote a 2 page summary of my Kaluza-Klein paper for the UoE School of Maths Postgraduate Research Student Essay Prize.
  • In my first year MIGSAA project I showed the non-linear stability of n+1 dimensional Minkowski spacetime for n \geq 6 (up to some finer points regarding initial data).
  • In my Part III essay in 2014 I generalised the proof of local well-posedness of BSSN to high dimensions, n+1 for n \geq 3. This was actually not known before then.

In my spare time, I love bird-watching, cycling and reading. I also have a better half.