The work of Jan-Erik Roos on the cohomology of commutative rings (Q1605628)

Omitting two periods of Roos's algebraic activity (those on abelian categories and on the homological theory of noncommutative rings) this paper starts in the mid-1970s when Roos turned to homological problems on finitely generated modules over commutative Noetherian rings. After a ``background'' section providing basic information on the noncommutative or homological algebra, the author proceeds to present achievements of Roos divided into three sections: Poincaré series, Yoneda algebras, Koszul algebras. The presentation is concise but clear. The paper is completed by the list of 4 other surveys related to the work of Roos, the list of his graduate students, and the list of his 49 publications.