Renormalisation and Singular SPDEs

We are interested in pathwise approaches for stochastic PDEs; especially singular stochastic PDEs which require renormalisation. A particular focus of our research is on renormalisation in settings without translation invariance, for example due to background geometry, spatial boundaries, or the choice of approximation scheme. Our approach draws on methods from stochastic analysis and the analysis of PDEs alongside tools from algebra and combinatorics.