G'day! I am Zoe Wyatt, an assistant professor at the Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, and Fellow in Mathematics 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.

• Stability of fluids in spacetimes with decelerated expansion, David Fajman, Max Ofner, Todd Oliynyk, Zoe Wyatt.
• Relativistic fluids in Cosmological Spacetimes, David Fajman, Max Ofner, Zoe Wyatt.
    Classical and Quantum Gravity, Vol. 41, No. 23, (2024) 233001.
• Phase transition between shock formation and stability in cosmological fluids, David Fajman, Macej Maliborski, Max Ofner, Todd Oliynyk, Zoe Wyatt.
• 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.
    Archive for Rational Mechanics and Analysis, Vol. 248, (2024), No. 83.
• Hidden structure and sharp asymptotics for the Dirac–Klein-Gordon system in two space dimensions, Shijie Dong, Zoe Wyatt.
    Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire. Vol. 41 (2024), 1419–1464.
• 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.