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The consortium of the Transregio-CRC 154 is seeking highly motivated and qualified students that are looking for obtaining a doctoral degree in applied mathematics. Once recruited, you will perform research in a highly relevant research area in applied mathematics that is centered around the “turnaround in energy policy”, in particular in the context of gas networks. The main aim of the Transregio-CRC is to provide certified novel answers to mathematical challenges arising in this context, based on mathematical modeling, simulation, and optimization. In order to achieve these goals new paradigms in the integration of these disciplines and, in particular, in the interplay between integer and nonlinear programming in the context of stochastic data have to be established and brought to bear.
The CRC 154 is financed by the German Science Foundation, the third funding phase lasts from July 1 st , 2022, until June 30 th , 2026. The CRC 154 project descriptions and other details are contained in the corresponding attachment. The call for applications is open until further notice. There is no fixed deadline for an application, but positions will be offered to suitable candidates on a first-come first-serve basis. We especially encourage applications by female candidates.
You are eligible to apply for a position within the CRC 154, if
Once recruited, we will offer:
With a single application, you may apply for more than one position within the CRC 154 (maximum 10), in order of preference.
You will need to provide us with the following documents:
a) Application form (see here)
b) Letter of motivation (max. 1 page)
c) Copies of degree and academic transcripts (with grades and rankings)
d) Brief summary of Master's thesis (max. 1 page)
e) Short CV including letter/s of recommendation and publication list (if any)
All the above-mentioned documents have to be send directly to the responsible person (PI, professor) of the subproject.
We will come back to you soon. Shortlisted candidates will be invited for an interview (traveling to each partner's site may not be necessary). Winners will be announced as soon as possible. Applications will be considered till the corresponding positions have been filled.
Caroline Geiersbach, Michael Hintermüller (WIAS Berlin)
This subproject is concerned with the coupling of an intraday gas market with the physical transport of gas through a network, subject to uncertainty. This problem is modelled as a non-cooperative equilibrium problem where each risk-averse market player makes decisions in such a way as to maximize profit while simultaneously ensuring that their collective decisions are physically feasible along the network. The goal of this project is to characterize and compute equilibria to this problem. For this, we study the existence of solutions and their sensitivity to perturbations in parameters. To develop algorithms to handle the problem computationally, stochastic approximation and feedback-type mechanisms are employed.
Michael Hintermüller (WIAS Berlin)
The goal of this project is the development of stochastic gradient methods for the treatment of almost sure state constraints. Such constraints arise for example in the nomination validation of gas networks under uncertain demands but also play a role in the transition towards future hydrogen networks. A focus of the project is the consideration of sequences of relaxed problems intertwined with the stochastic gradient method and a rigorous mathematical convergence analysis of the resulting methods.
