The Mathematics of Data Science group at Ilmenau University of Technology (TU Ilmenau, Germany) invites applications for a PhD position focused on mathematical research and algorithmic development within Project B08 of SFB 1294. This interdisciplinary project centers on the theoretical investigation of advanced methods, uncertainty quantification, and the design of algorithms using reinforcement learning, data assimilation, and causal inference. The research aims to develop digital twin technologies for personalized treatment strategies in various medical conditions, bridging mathematics, computer science, and medical science. As a PhD candidate, you will contribute to the development and analysis of novel algorithms, particularly leveraging techniques such as particle filtering and statistical machine learning. You will be expected to publish your findings in leading journals, including those in the SIAM series, and present your work at national and international conferences, workshops, and meetings. The position also involves active participation in the organization of SFB 1294 events, collaboration with researchers in the Data Science Lab, and short research stays with international partners. Applicants should hold a completed university degree (Master or Diplom) in mathematics, computer science with a mathematical focus, or a closely related field. Essential qualifications include solid knowledge in data assimilation, data science, statistical and machine learning, reinforcement learning, and statistics, demonstrated through excellent theses or coursework. Proficiency in English and strong programming skills (Python, MATLAB) are required. The ideal candidate will show commitment, enthusiasm, independence, initiative, and teamwork skills. Evidence of qualifications must be provided by certificates and references. The university offers attractive remuneration according to the TV-L collective agreement, including a special annual payment, 30 days of vacation per year, additional days off on 24 and 31 December, a VBL pension scheme, flexible working time models, individual training opportunities, and access to health and sports programs. TU Ilmenau is recognized for its commitment to innovative teaching, interdisciplinary research, and a cosmopolitan campus environment. Severely disabled applicants with essentially identical professional suitability will be preferentially selected. The application deadline is 11 January 2026. For further information, you may contact Prof. Jana de Wiljes. Applications should be submitted online via the provided link, ensuring all required documents are included.