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. Our research is rooted in basic research and centres on mathematical models of the physical and virtual world, as a basis for the analysis, design, and implementation of complex systems. We focus
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AI-Driven Digital Twin for Predictive Maintenance in Aerospace – In Partnership with Rolls-Royce PhD
engineers detect faults earlier, track system degradation, and make better-informed maintenance decisions. But how can we turn this complex information into something reliable, explainable, and actionable
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position in AI for Network Analysis, starting as early as November 1, 2025. We are looking for a motivated and talented early-career researcher with a strong interest in social network analysis, complex
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Mathematics at the Faculty of Science, Forestry, and Technology invites applications for a Doctoral Researcher (PhD student) position in operator theory, complex analysis, and their applications to mathematical
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; mathematical modelling of cancer; probabilistic modelling and Bayesian inference, stochastic algorithms and simulation-based inference; causal inference and time-to-event analysis; and statistical machine
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its rich information content, conventional analysis methods have not yet fully realized its potential. This research project aims to develop a robust AI foundation model based on modern Transformer
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, using equipment like 3D printers, furnaces, centrifuges, and microfluidic devices. Meticulous data recording and analysis are essential, as the project combines practical engineering with fundamental
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to gain insights into complex systems and inform decision-making Design and evaluate scenarios that focus on energy systems and structural change, assessing their potential impact Develop and evaluate
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, medical informatics, databases, data mining, machine learning, applied mathematics, biomedical modelling and analysis of complex networks. Joint data science projects between the different partners
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(Hamenstaedt), Complex Algebraic Geometry (Huybrechts), Global Analysis (Mueller), Topology (Barthel, Bottman, Ozornova, Schwede), Geometric Topology (Avramidi, Stadler), Representation Theory (Stroppel) and