M.Sc. Martin Lüdtke

Research Interest

I am working in arithmetic geometry, more specifically in anabelian geometry. Based on conjectures of Grothendieck, one studies the geometry and arithmetic of schemes from the viewpoint of their étale fundamental groups. In the case of the spectrum of a field, the goal becomes to extract information from the absolute Galois group and I dealt with this question for function fields of curves over algebraically closed fields in my master's thesis. My PhD project is concerned with the cuspidalisation problem, i.e. describing the fundamental group of a curve in terms of the fundamental group of its compactification, and its relation with Grothendieck's section conjecture that predicts a group-theoretic characterisation of rational points as sections of an exact sequence of fundamental groups.