PhD position on spectral aspects of magnetic fields via sub-Riemannian geometry (220448)
Candidates are invited to write and develop their own research project within the scope of the proposed topics listed below. Being part of a cutting-edge research programme, they will receive excellent training in the form of hands-on instruction, advanced courses and summer/winterschools, complemented by workshops on generic research and transferable skills as well as teaching training. As a PhD candidate, you are committed to conduct independent and original scientific research, to report on this research in international publications and conference presentations, and to describe the results of the research in a PhD dissertation, to be completed within 4 years.
The main subject of research is at the crossroad of mathematical physics, spectral theory and sub-Riemannian geometry. Sub-Riemannian geometry is a generalisation of the Riemannian one, where a smooth metric is defined only on a preferred subset of directions. From a dynamical viewpoint, these structures are the model for non-holonomic constraints, while in analysis they provide the geometric setting for the study of Hörmander-type hypoelliptic operators. In the last few years, a new influx of ideas has granted the field a growing attention, especially in the context of spectral sub-Riemannian geometry: this has provided a big opportunity for new insights and new very general results, as shown by the recent advances on geometric confinement, functional inequalities and spectral bounds, both low-lying and asymptotic.
During the course of the PhD, the candidate will build upon these recent advances to develop new genuinely sub-Riemannian functional inequalities and spectral techniques in order to obtain a unified framework for the treatment of magnetic sub-Riemannian spectral problems and explore their consequences in the mathematics of nucleation of surface superconductivity on non-flat media.
The successful candidate should have:
• a master degree (or equivalent) in mathematics or another field of science relevant for the position
• good command of English (oral and written) and an affinity for writing scientific papers and delivering presentations
• a passion for geometry, functional analysis and spectral theory
• familiarity with spectral theory and/or sub-Riemannian geometry is welcome but not a strict requirement
• interest in research exchanges with the collaborators in Paris.
Since its founding in 1614, the University of Groningen has enjoyed an international reputation as a dynamic and innovative centre of higher education offering high-quality teaching and research. We encourage the 35.000 students and researchers to develop their own individual talents. Among the best research universities in Europe, we join forces with prestigious partner universities and networks around the world, the University of Groningen is truly an international place of knowledge.
A 4-years PhD position on spectral aspects of magnetic fields via sub-Riemannian geometry is available within the Faculty of Science and Engineering of the University of Groningen in The Netherlands.
The candidate will be embedded in the Dynamical Systems, Geometry and Mathematical Physics group of the Bernoulli Institute of Mathematics, Computer Science and Artificial Intelligence under the supervision of Marcello Seri. 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.
As part of the NWO project “Magnetic car parks and superconductors”, the candidate is expected to initiate a strict collaboration with Dario Prandi (Centrale Supélec, Paris) and Romain Petrides (Université de Paris), and research exchanges with the respective universities. The successful candidate will not only join a growing dynamic and well-established research group, but also have plenty of opportunities to collaborate with national and international leading experts.
Conditions of employment
We offer you in accordance with the Collective Labour Agreement for Dutch Universities:
• a salary of € 2,395 gross per month in the first year, up to a maximum of € 3,061 gross per month in the fourth and final year for a full-time working week
• a full-time position (1.0 FTE)
• a holiday allowance of 8% gross annual income and an 8.3% year-end bonus
• a temporary position of one year with the option of renewal for another three years. Prolongation of the contract is contingent on sufficient progress in the first year to indicate that a successful completion of the PhD thesis within the next three years is to be expected. A PhD training programme is part of the agreement and the successful candidate will be enrolled in the Graduate School of Science and Engineering.
Do you want to become a member of our team? Please send your application to us, by submitting the following documents:
• letter of motivation
• CV (including contact information for at least two academic references)
• transcripts from your bachelor’s and master’s degree.
You can submit your application until 28 February 11:59 p.m. / before 1 March 2021 Dutch local time (CET) by means of the application form (click on "Apply" below on the advertisement on the university website).
Applications received before 1 March 2021 will be given full consideration; however, the position will remain open until it is filled.
We are an equal opportunity employer and value diversity at our University. We are committed to building a diverse faculty so you are encouraged to apply. Our selection procedure follows the guidelines of the Recruitment code (NVP), https://www.nvp-hrnetwerk.nl/sollicitatiecode/ and European Commission's European Code of Conduct for recruitment of researchers, https://euraxess.ec.europa.eu/jobs/charter/code
Unsolicited marketing is not appreciated.
For information you can contact:
- Dr Marcello Seri, m.seri rug.nl
Please do not use the e-mail address(es) above for applications.