#### PhD position in Mathematical Physics (218498)

The research group, *Dynamical Systems, Geometry and Mathematical Physics,* is part of the *Bernoulli Institute for Mathematics, Computer Science and Artificial Intelligence* in the Faculty of Science and Engineering of the university.

The research activities of the group cover a broad and diverse spectrum of subjects in the fields of fundamental, applied and computational dynamical systems theory, classical, statistical and quantum systems and their interfaces in the light of dynamics, and theoretical and applied aspects of geometry with many connections to dynamical systems theory.

The successful candidate will join a dynamic and well established research group. The main topic of research will be the geometry and spectral properties of quantum systems. The deep connection between the geometry of classical Hamiltonian systems and their quantum mechanical counterpart has been shown in multiple context, and resulted in applications in many different fields of mathematics. During the course of the PhD, the candidate will work on broadening this knowledge by exploring new frontiers of the semi-classical theory of singular systems. He or she will focus on the study and understanding of quantum resonances in the semi-classical limits for Schrödinger operators with long range perturbations and localized magnetic fields. Results in this direction will open further direction of research both in semi-classical mechanics and in spectral geometry.

**The University of Groningen offers, in accordance with the Collective Labour Agreement for Dutch Universities, a salary of € 2,266 gross per month in the first year, up to a maximum of € 2,897 gross per month in the fourth and final year, based on a full-time position (1.0 FTE), excluding a holiday allowance of 8% gross annual income and a 8.3% end-of-the-year allowance. The position is limited to a period of 4 years. A PhD training programme is part of the agreement and the successful candidate will be enrolled in the Graduate School of Science and Engineering.**

Applications received before 17 December 2018 will be given full consideration; however, the position will remain open until it is filled.

Information for applications can be found on the University of Groningen vacancies web page at https://www.rug.nl/about-us/work-with-us/job-opportunities/overview?details=00347-02S0006ORP