Description
Precision calculations in quantum field theory rely very often on perturbation
theory and thus on the computation of Feynman integrals. Two of the basic algorithms are
integration-by-parts and the method of differential equations. In this talk I show how the
efficiency of these algorithms can be improved by taking geometric information of the
Feynman integrals into account. The method does not require any prior knowledge of the
geometry and merely amounts to counting poles and residues.