Since January 2021 I am a Ph.D. student in the group of Prof. Dr. Stefan Volkwein. In my Ph.D. I work on simulation and optimization of energy supply networks. I am a member of the Mathe Initiative Bodensee.
This position is supported by the project "Energiewende vor Ort – Optimale dezentrale Energieversorgung und Kommunikationsstrategien hinsichtlich politischer und sozialer Akzeptanz".
- Mixed-Integer Linear and Nonlinear (Multiobjective) Optimization
- Optimization of Energy Supply Networks
Programming languages and software used:
- Winter Term 2021/2022: Supervision of the Seminar "Grundlagen Künstlicher Intelligenz und ihre Anwendung in allen Schulfächern" togeether with Dr. Lothar Sebastian Krapp, Daniela Schuster and Franziska Schropp.
- Summer Term 2021: Supervision of the lecture "Optimization I" of Prof. Volkwein.
- Winter Term 2020/2021: Supervision of the lecture Numerische Mathematik of Prof. Volkwein and Dr. Frei together with Marco Bernreuther.
- Computing an enclosure for multiobjective mixed-integer nonconvex optimization problems using piecewise linear relaxations
M. Link and S. Volkwein
Furthermore, I am interested in the definability of henselian valuations which is a topic at the interface between model theory and algebraic geometry. Via the theory of (definability of) valuations on NIP fields the former can be seen in the context of learnability of neural networks. Originating from my master studies there evolved a collaboration with Salma Kuhlmann and Lothar Sebastian Krapp:
- Definability of henselian valuations by conditions on the value group
(together with Salma Kuhlmann and Lothar Sebastian Krapp)
To appear in J. Symb. Log., 2022