Rhys Steele - Personal Webpage
I am currently a postdoctoral researcher at the Max Planck Institute for Mathematics in the Sciences in the group of Professor Felix Otto. My research interests lie at the interface between stochastic analysis and the analysis of partial differential equations. In particular, I am interested in renormalisation problems for singular SPDEs in a variety of contexts.
Prior to this position, I was a postdoctoral research associate at Imperial College London.
I completed my PhD under the supervision of Professor Martin Hairer (my PhD thesis, titled 'Renormalisation and A Priori Bounds for Singular SPDEs' can be found here).
Before my PhD, I completed my MMath degree at the University of Oxford where I wrote my Master's thesis, titled 'Ancestries in the Spatial Lambda-Fleming-Viot Process with Selection', under the supervision of Professor Alison Etheridge. For this thesis, I was awarded the Gibb's dissertation prize in 2018.
Publications
The BPHZ Theorem in Regularity Structures via the Spectral Gap Inequality, Arch Rational Mech Anal 248, 9 (2024). https://doi.org/10.1007/s00205-023-01946-w (joint work with M. Hairer)
The Phi_3^4 measure has sub-Gaussian tails, Journal of Statistical Physics volume 186, Article number: 38 (2022), doi: https://doi.org/10.1007/s10955-021-02866-3 (joint work with M. Hairer)
Non-optimality of the Greedy Algorithm for Subspace Ordering in the Method of Alternating Projections, Results in Mathematics volume 72, pages979–990 (2017), (joint work with O. Darwin, A. Jha, S. Roy, D. Seifert, L. Stigant)