Avramov, Luchezar L. The work of Jan-Erik Roos on the cohomology of commutative rings. (English) Zbl 1003.01010 Homology Homotopy Appl. 4, No. 2(1), 1-16 (2002). 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. Reviewer: Roman Duda (Wrocław) MSC: 01A60 History of mathematics in the 20th century 01A70 Biographies, obituaries, personalia, bibliographies 13-03 History of commutative algebra 13D03 (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) Keywords:cohomology; commutative rings; homotopy Lie algebra; Hilbert series Biographic References: Roos, Jan-Erik PDFBibTeX XMLCite \textit{L. L. Avramov}, Homology Homotopy Appl. 4, No. 2(1), 1--16 (2002; Zbl 1003.01010) Full Text: DOI EuDML EMIS