M.Sc. Martin Lüdtke

Research Interest

I am working in arithmetic geometry and more specifically in anabelian geometry. In this area, based on conjectures of Grothendieck, one tries to study schemes, either of number-theoretic or geometric origin, via their associated 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. For my PhD, I am working on a non-abelian generalisation of the Poitou-Tate sequence from Galois cohomology of number fields.