Precision calculations in quantum field theory rely very often on perturbation
theory and thus on the computation of Feynman integrals.
Feynman integrals are also fascinating objects from a mathematical point of view
and show deep connections to algebraic geometry.
Cutting-edge Feynman integrals usually have geometries of "mixed" type, for example parts of it
may correspond to a K3-surface, other parts may correspond to curves of a certain genus
and the simplest parts correspond to points.
In this talk I will discuss how to extract the geometric information from a Feynman integral
and how this information can be used to compute more efficiently Feynman integrals.
Non-trivial mixed geometries already occur in $2 \rightarrow 2$-processes at two-loops,
like Drell-Yan, Bhabha and Moller scattering.