# G’day

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.

#### 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.