G'day! I am Zoe Wyatt, a mathematician based at King’s College London. My research lies at the intersection of general relativity, differential geometry and hyperbolic equations. Concretely, I study PDEs derived from theories of higher dimensional gravity, string theory, particle physics and cosmology. Please get in touch if you are interested in doing a PhD.
My email is firstname.surname@kcl.ac.uk. My address is: Department of Mathematics, King’s College London, Strand Building, Strand, London, WC2R 2LS.
Brief CV
- April 2022 - present: Lecturer in Analysis (= Assistant Professor) at King's College London.
- 2020 - Mar. 2022: Herchel Smith Fellow at DPMMS, University of Cambridge, and a Junior Research Fellow at Darwin College.
- 2015 - 2020: PhD in Mathematics under Pieter Blue at the University of Edinburgh.
- 2010 - 2014: BA in Mathematics and MMath at Newnham College, University of Cambridge.
Publications and Preprints
- The Stability of Relativistic Fluids in Linearly Expanding Cosmologies, David Fajman, Max Ofner, Todd Oliynyk, Zoe Wyatt.
- Slowly expanding stable dust spacetimes, David Fajman, Max Ofner, Zoe Wyatt.
- Hidden structure and sharp asymptotics for the Dirac–Klein-Gordon system in two space dimensions, Shijie Dong, Zoe Wyatt.
- Stability of some two dimensional wave maps, Shijie Dong, Zoe Wyatt.
- Two dimensional wave–Klein-Gordon equations with semilinear nonlinearities, Shijie Dong, Zoe Wyatt.
- Global stability of spacetimes with supersymmetric compactifications, Lars Andersson, Pieter Blue, Zoe Wyatt, Shing-Tung Yau. To appear in Analysis & PDE
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Stabilizing Relativistic Fluids on Spacetimes with Non-Accelerated Expansion,
David Fajman, Todd Oliynyk, Zoe Wyatt.
Communications in Mathematical Physics, 383 (2021) 401-426. -
Global evolution of the U(1) Higgs Boson: nonlinear stability and uniform energy bounds,
Philippe LeFloch, Shijie Dong, Zoe Wyatt.
Annales Henri Poincaré, Vol 22 (2021) 677–713. -
Attractors of the Einstein-Klein-Gordon system,
David Fajman, Zoe Wyatt.
Communications in Partial Differential Equations, Vol. 46 Issue 1 (2021) 1-30. -
Stability of a coupled wave-Klein-Gordon system with quadratic nonlinearities,
Shijie Dong, Zoe Wyatt.
Journal of Differential Equations, Vol. 269 Issue 9 (2020) 7470-7497. -
The Weak Null Condition and Kaluza-Klein Spacetimes,
Zoe Wyatt.
Journal of Hyperbolic Differential Equations, Vol. 15, No. 2 (2018) 219-258.
Awards, grants and fellowships
- 2022, Conference Grants from the LMS and Heilbronn Institute.
- 2022, International Visitor Program to visit SMRI in Australia.
- 2021, Early Career Grant from the LMS and EPSRC to attend the 2022 ICM.
- 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.
- 2018 - 2019: 6 month research fellowship to visit the Gravitational Physics group at the University of Vienna working under Assoc.-Prof. David Fajman.
- 2017 - 2018: 8 month research fellowship to visit Sorbonne-UPMC, Paris working under Prof. Philippe LeFloch.
- 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
- 2023, Workshop on Hyperbolic PDEs, at MATRIX Australia, September 2023. Organised with Volker Schlue, Jesse Gell-Redman, Andrew Hassell and Todd Oliynyk.
- 2023, Waves by the Thames, see workshop website, June 2023. Organised with Jean Lagacé (KCL).
- 2023, Kings and Queens of Gravity, see workshop website, March 2023. Organised with Katy Clough (QMUL).
- 2022, Summer School on the Cauchy Problem in General Relativity, held at the Institute Mittag-Leffler. Organised with Anna Sakovich (Uppsala) and Melanie Graf (Tübingen).
- 2022, Analysis Workshop as part of the British Mathematical Colloquium, held at King's College London. Organised with Alexander Pushnitski (KCL).
Some more maths
- A copy of my thesis can be found here.
- My submission for the Edinburgh School of Maths Postgraduate Research Student Essay Prize, and my first year MIGSAA project.
- In my Part III essay in 2014 I generalised the proof of local well-posedness of BSSN to high dimensions, n+1 for n>3. This was surprisingly not known before then.
In my spare time, I love bird-watching and cycling, reading. Additionally, this is my favourite meme.