- 
                
                
                
simulations of tight-binding Hamiltonians (Aguilera). The project aims to develop mathematical tools that will further elucidate the intricate aspects of topology in quantum matter. If selected
 - 
                
                
                
human operators using natural language, scenario simulation, and action explanation. Study the efficiency, robustness, generalization, and ethical implications of using foundation models in safety
 - 
                
                
                
filling them out separately in the system; A copy of your MA-thesis or a writing sample (if the MA-thesis is not yet finished); Copies of relevant course assessments (list of grades; certificates
 - 
                
                
                
for applying, and anticipated impact of your contribution to the group Curriculum vitae Transcripts of B.Sc. and M.Sc. (or equivalent), including grades Copy of M.Sc. (or equivalent) thesis or prior publications
 - 
                
                
                
; Curriculum vitae; Transcripts of B.Sc. and M.Sc. (or equivalent), including grades; Copy of M.Sc. (or equivalent) thesis or prior publications (if applicable); 1-2 letters of reference from former supervisors
 - 
                
                
                
of topics include algorithmic fairness in network analysis, developing network embedding frameworks for real-world network datasets or AI models based on agentic LLMs for simulating real-world network data