The Oxford University Careers Service* organises nine careers fairs a year with various themes.
We are currently inviting applications for a Postdoctoral Research Associate to work with Professors Mezei, Schafer-Nameki, and Sparks at the Mathematical Institute, University of Oxford. These are three-year, fixed-term positions, funded by three different research grants from the ERC, UKRI, and STFC. The successful candidate will be expected to be in post by 1 October 2027.
Sharp Rates of Convergence to Singular SPDEs
Abstract
For subcritical singular SPDEs, solutions are typically exhibited as the limit of solutions of regularised and renormalised PDEs as the regularisation scale goes to 0. Existing general solution theories typically yield a very small exponent for the rate of convergence. This suggests the question of identifying the sharpest possible rate of convergence that can be achieved in some space of distributions.
In this talk, I will discuss recent work with Máté Gerencsér and Yueh-Sheng Hsu in which we identify the sharp rate of convergence in the case of the KPZ equation.