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The research groups of Prof. I. Bogunovic and Prof. A. Lucchi at the Department of Mathematics and Computer Science at the University of Basel are inviting applications for a PhD position focused on the foundations and applications of reasoning with large language models (LLMs), including emerging diffusion-based LLM architectures. The successful candidate will investigate both theoretical aspects – such as understanding the mechanisms and limitations of reasoning in modern LLMs – and practical applications, including solving mathematical reasoning problems. The ideal candidate has a strong background in machine learning and an interest in bridging rigorous theoretical insights with challenging real-world tasks. They will also explore reinforcement learning strategies to optimize decision-making policies in complex environments, and develop fine-tuning protocols for large pre-trained models to adapt them to specialized reasoning domains as well as to address a generalization gap in LLM reasoning and their adaptation across reasoning domains. This work will blend cutting-edge experimentation – spanning RL, few-shot learning, meta-learning, etc. – with formal analysis to push the boundaries of what modern AI systems can reliably reason about.
Position available starting around July 2026 (position may begin later as well). The duration of a PhD in Switzerland is 4 years.