SFB/Transregio 388 investigates the interplay between rough analysis and stochastic dynamics. Central aspects include rough paths and subsequent developments for nonlinear stochastic partial differential equations. The theory of signatures and rough volatility also provides important connections to algebra, statistics, and financial mathematics.
Website: https://sites.google.com/view/trr388/

Job description:
The aim of project A06 of the SFB/TRR388 is to characterize the asymptotic behaviour of singular stochastic partial differential equations, in particular with respect to bifurcation theory, attractors and rate of convergence to the invariant measure. We will also study the effects of renormalization and the mixing times of singular SPDEs, such as stochastic Burgers and Navier-Stokes equations.
The third-party funded research project provides an opportunity to do a doctorate.

Requirements:
Completed scientific university degree (Master's degree) in mathematics.

Desirable:
- Very good university degree (Master's degree) in Mathematics;
- strong knowledge of stochastic analysis, in particular in singular stochastic partial differential equations
- profound knowledge of bifurcation theory;
- an excellent command of English, together with good academic writing and presentation skills.