A fully funded PhD position is available in the Mathematical Foundations of Artificial Intelligence at Ludwig-Maximilians-Universität München, under the supervision of Professor Gitta Kutyniok. The successful candidate will join the vibrant Munich AI Ecosystem and the Munich Center for Machine Learning, engaging in cutting-edge research topics such as explainability, generalization, graph neural networks, inverse problems and AI, next generation AI computing, PDEs and AI, learning physical laws by AI, reliable AI, spiking neural networks, and sustainable (energy-efficient) AI. Applicants should have an excellent degree in mathematics, computer science, or a related field, and demonstrate strong analytical, programming, teamwork, and communication skills, as well as a high level of commitment and proficiency in English. The position offers a competitive salary (up to TV-L E13), flexible working hours, individual career support, and opportunities for professional development, including collaboration with leading researchers and participation in international conferences and training programs. The contract is for three years, with possible extension. Interested candidates should apply via the provided link before October 22, 2025. For more information about the research group and activities, visit the Bavarian AI Chair for Mathematical Foundations of Artificial Intelligence website.