Saito received in 1971 his promotion Ph.D. from the University of Göttingen under Egbert Brieskorn, with thesis Quasihomogene isolierte Singularitäten von Hyperflächen (Quasihomogeneous isolated singularities of hypersurfaces).
[2] Saito is a professor at the Research Institute for Mathematical Sciences (RIMS) of Kyoto University.
These generalizations are integrals of "primitive forms",[4] first considered in the study of the unfolding of isolated singularities of complex hypersurfaces, associated with infinite-dimensional Lie algebras.
Saito supervised the thesis of 7 Ph.D. students at Kyoto University, including Hiroaki Terao and Masahiko Yoshinaga.
[2] He was an Invited Speaker with talk The limit element in the configuration algebra for a discrete group: a précis at the International Congress of Mathematicians 1990 in Kyoto.