The Research Training Group started on April 1, 2017. Currently, all our 15 funded PhD positions are filled. New positions will become available in 2020. However, there are possibilities to get funding from different sources and get associated to the Research Training Group. Therefore we encourage initiative applications directly to the PIs or to firstname.lastname@example.org.
We also recommend to get into contact with possible advisors of your thesis. The research training group is a joint initiative of 12 principal investigators. Every PhD position will have two of them as supervisors, ideally with a topic in the intersection of two areas of mathematics. Here is a list of exemplary (meaning that also different ones are possible) PhD topics. The names correspond to possible advisors from the list of principal investigators. Feel free to contact them directly with questions concerning the scientific content.
- Algebraic Structures of Liftings in Nonlinear Optimization (Kahle, Sager)
- Model Reduction for Mixed-integer Optimal Control (Benner, Sager)
- Computing Statistical Properties of Dynamical Systems in Reduced-Order Models (Benner, Kirch)
- The Fisher Information Matrix in Models with Latent Variables (Sager, Schwabe)
- Optimal Sampling for Dynamic Reduced Order Models (Benner, Schwabe)
- Geometry of Optimal Designs for Nonlinear Regressions (Kahle, Schwabe)
- Polynomial Feasibility and Optimization Problems in Control (Findeisen, Kaibel)
- Complexity Reduction in Fault Diagnosis and Change Detection of Dynamical Systems (Findeisen, Kirch)
- The Role of Numbers in Extended Formulations (Averkov, Kaibel)
- Polynomial Representations and Approximations of Combinatorial Polytopes (Averkov, Kaibel)
- Symmetric Limit Objects in Polyhedral and Toric Geometry (Kahle, Nill)
- Constructions of Costas Arrays (Kaibel, Pott)
- Algebraic, Combinatorial, and Geometric Approaches to Gorenstein Polytopes (Averkov, Nill)
- Minimax Optimal Sequential Sampling of a Dynamical System (Carpentier, Sager)
- Error Balancing and Adaptivity in Model Order Reduction (Richter, Benner)
Feel free and encouraged to contact the spokesperson email@example.com or any of the principal investigators for further information. Want to know more about mathematics and Magdeburg? Have a look at this page (in German and for undergraduate students, but most aspects apply to a PhD as well).
We also offer two qualification scholarships (of up to 12 months duration) for students close to or shortly after finishing their Master's degree in mathematics or a related area. Interested students should send a request to firstname.lastname@example.org. Receivers of qualification scholarships are natural candidates to apply for a subsequent PhD position within the Research Training Group.
The job market for mathematicians in Germany has been excellent over the last years, almost exhibiting a full employment situation. We have collected useful information for potential undergraduate students on this webpage. The professional avenues described there are of course valid alternatives for CoRe alumni as well. Our goal is to provide our alumni with an even better basis for their professional careers. Typical researchers who will have completed a doctorate within CoRe shall have acquired a training that enables them to design, coordinate, and lead research projects in academia or industry. Our alumni shall be used to see connections between seemingly unrelated topics, come up with innovative and yet systematic solution approaches, and build upon research networks that have been created within CoRe. They shall have the necessary soft skills to cope with the high responsibilities for the future generation of leading scientists. We estimate the RTG topic of complexity reduction to be future-proof, both in terms of mathematical research as in terms of professional opportunities arising from societal challenges.