The Bonn International Graduate School in Mathematics (BIGS-Mathematics), embraced by the Hausdorff Center for Mathematics, a Cluster of Excellence established within the German government`s Excellence Initiative, offers a PhD program in mathematics based upon the well-known teaching and research tradition of the Department of Mathematics and the Max Planck Institute for Mathematics. Research topics for dissertations can be chosen from the following sections:

1. Algebra and number theory (J. Franke, G. Harder, M. Rapoport, J. Schröer, C. Stroppel, D. Zagier)
2. Algebraic and arithmetic geometry (G.Faltings, G.Harder, D.Huybrechts, N. Perrin, M.Rapoport)

Applications are invited for a Ph.D. position to work on Interacting stochastic models on complex networks

Complex networks with small-world properties occur in a multitude of real-world communication networks. In this project we shall investigate the nature of interacting systems on such networks and understand their phase-transitions.

The student will be supervised by C. K ulske, A. C. D. van Enter (Groningen) and R. van der Hofstad (Eurandom, Eindhoven). The Ph.D. student will be based in Groningen with longer visits to Eurandom.

The Groningen group working on the probability theory of interacting systems will consist of two sta members, two senior part-time positions and 4 Ph.D. students, and has strong international ties.