Parallel Algorithms in Algebraic Geometry

While other branches of mathematics have greatly benefitted from massively parallel computations over the last decades, common belief was that Algebraic Geometry would not be a good field for parallelism, since one of the main workhorses, the computation of Groebner Bases, poses an important obstacle.

With the advent of powerful, flexible, transparent workflow management systems, on the other hand, large problems with a very coarse granularity could be tackled for the first time. In this talk, I will outline some successful applications such as e.g. a parallel smoothness test and the computation of a GIT-fan.