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I am currently a group leader of the group "Renormalisation and Singular SPDEs" at the Max Planck Institute for Mathematics in the Sciences within the larger 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.
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.
You can contact me at: steele@mis.mpg.de
Publications & Preprints
The Sharp Rate of Probabilistically Strong Convergence to the KPZ Equation, arXiv 2609.02755 (joint work with M. Gerencsér and Y.-S. Hsu)
Renormalised Models for Variable Coefficient Singular SPDEs, arXiv 2507.06851 (joint work with L. Broux and H. Singh)
Multi-index Based Solution Theory to the Phi^4 Equation in the Full Subcritical Regime, arXiv:2503.01621 (joint work with L. Broux and F. Otto)
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, pages 979–990 (2017), (joint work with O. Darwin, A. Jha, S. Roy, D. Seifert, L. Stigant)
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