  We introduce an algebro-geometrically motived integration-by-parts (IBP)
reduction method for multi-loop and multi-scale Feynman integrals, using a
framework for massively parallel computations in computer algebra. This
framework combines the computer algebra system Singular with the workflow
management system GPI-Space, which is being developed at the Fraunhofer
Institute for Industrial Mathematics (ITWM). In our approach, the IBP relations
are first trimmed by modern algebraic geometry tools and then solved by sparse
linear algebra and our new interpolation methods. These steps are efficiently
automatized and automatically parallelized by modeling the algorithm in
GPI-Space using the language of Petri-nets. We demonstrate the potential of our
method at the nontrivial example of reducing two-loop five-point nonplanar
double-pentagon integrals. We also use GPI-Space to convert the basis of IBP
reductions, and discuss the possible simplification of IBP coefficients in a
uniformly transcendental basis.
