  We demonstrate that the complete and non-redundant set of Landau
singularities of Feynman integrals may be explicitly obtained from the Whitney
stratification of an algebraic map. As a proof of concept, we leverage recent
theoretical and algorithmic advances in their computation, as well as their
software implementation, in order to determine this set for several nontrivial
examples of two-loop integrals. Interestingly, different strata of the Whitney
stratification describe not only the singularities of a given integral, but
also those of integrals obtained from kinematic limits, e.g.~by setting some of
its masses or momenta to zero.
