G'day! I am Zoe Wyatt, an assistant professor at the Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, and college lecturer at Murray Edwards College. My contact email is firstname.surname@maths.cam.ac.uk.
Brief CV
- Since August 2023: Assistant Professor at DPMMS, University of Cambridge, and Fellow in Mathematics at Murray Edwards College.
- 2015 - 2020: PhD in Mathematics under Pieter Blue at the University of Edinburgh.
- 2010 - 2014: BA and MMath at Newnham College, University of Cambridge.
A full copy of my CV, including recent talks and conferences, can be found here.
I am also an editor at Proceedings of the Royal Society of Edinburgh Section A: Mathematics. Please see this link to make a submission.
Research
My research lies at the intersection of general relativity, differential geometry and nonlinear PDEs. Concretely, I study analytic properties of solutions to PDEs that have been derived from theories of higher dimensional gravity, string theory, particle physics and cosmology.
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Relativistic fluids in Cosmological Spacetimes,
David Fajman, Max Ofner, Zoe Wyatt.
Submitted to Classical and Quantum Gravity. - Phase transition between shock formation and stability in cosmological fluids, David Fajman, Macej Maliborski, Max Ofner, Todd Oliynyk, Zoe Wyatt.
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The global stability of the Kaluza-Klein spacetime,
Cécile Huneau, Annalaura Stingo, Zoe Wyatt.
To appear in Journal of the European Mathematical Society. -
The Stability of Relativistic Fluids in Linearly Expanding Cosmologies,
David Fajman, Max Ofner, Todd Oliynyk, Zoe Wyatt.
International Mathematical Research Notices, 5 (2024), 4328- 4383. -
Slowly expanding stable dust spacetimes,
David Fajman, Max Ofner, Zoe Wyatt.
To appear in Archive for Rational Mechanics and Analysis. -
Hidden structure and sharp asymptotics for the Dirac–Klein-Gordon system in two space dimensions,
Shijie Dong, Zoe Wyatt.
To appear in Annales de l’Institut Henri Poincaré, Analyse Non Linéaire. -
Stability of some two dimensional wave maps: A wave-Klein-Gordon model, Shijie Dong, Zoe Wyatt.
Differential and Integral Equations 37 (2024), no. 1/2, 79–98. -
Two dimensional wave–Klein-Gordon equations with a below-critical nonlinearity, Shijie Dong, Zoe Wyatt.
Nonlinear Differential Equations and Applications, vol. 30, no. 59 (2023). -
Global stability of spacetimes with supersymmetric compactifications, Lars Andersson, Pieter Blue, Zoe Wyatt, Shing-Tung Yau.
Analysis & PDE Vol. 16 (2023), No. 9, 2079–2107 -
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.
A copy of my PhD thesis can be found here, and here is an extract from my Part III essay where I generalised the proof of local well-posedness of BSSN to high spacetime dimensions.
I hold an AMusA in piano, and in my spare time I love playing piano and bird-watching.