PhD position on Stochastic geometric numerical methods

Are you passionate about developing cutting-edge numerical algorithms at the intersection of geometry, stochastic analysis, and high-performance simulations? We offer a challenging PhD position in the Mathematics of Computational Science group to design and analyse novel structure-preserving methods for stochastic dynamical systems, with applications ranging from plasma physics and molecular dynamics to advanced simulations for sustainable energy research.

We are looking for a motivated and ambitious PhD candidate to join the Mathematics of Computational Science (MACS) group within the Department of Applied Mathematics at the University of Twente. The successful candidate will work under the supervision of Dr. Tomasz Tyranowski on a project dedicated to advancing the field of stochastic geometric integration.

The project focuses on the development and analysis of novel structure-preserving numerical algorithms for stochastic dynamical systems, particularly stochastic Hamiltonian systems. These methods are designed to retain the intrinsic geometric properties of the underlying equations, ensuring stability and accuracy in long-time simulations. The research combines fundamental mathematical theory with applications in areas such as plasma physics, molecular dynamics, and medical physics. In particular, the work contributes to improving large-scale plasma simulations that are essential for the design and optimization of nuclear fusion devices, a key step toward future sustainable energy technologies.

You will conduct your research in a collaborative, international, and interdisciplinary environment that values both academic excellence and open exchange of ideas. The MACS group offers a stimulating atmosphere with regular discussions, opportunities for collaboration, and access to expertise in numerical analysis, dynamical systems, and high-performance computing. The position includes funding for several short research stays at the Max Planck Institute for Plasma Physics in Garching near Munich, Germany, providing valuable opportunities to collaborate with leading experts in computational plasma physics and expand your professional network. You will also have opportunities to present your work at leading conferences, engage in international collaborations, and develop a strong professional profile in computational mathematics and its applications.