Swedish mathematician (1935–2017)
Jan-Erik Ingvar Roos (16 October 1935 – 15 December 2017) was a Swedish mathematician whose research interests were in abelian category theory , homological algebra , and related areas.
He was born in Halmstad , in the province of Halland on the Swedish west coast.[ 2] Roos enrolled at Lund University in 1954, and started studying mathematics with Lars Gårding in 1957.[ 3] Under Gårding's direction he wrote a thesis on ordinary differential equation , and graduated in 1958 with a licentiate degree.[ 2] [ 4] Later that year he went to Paris on a doctoral scholarship;[ 3] there, he gravitated towards the mathematical environment at the Institut Henri Poincaré , and the various seminars held there. After a while, he started attending Alexander Grothendieck 's seminar at the Institut des hautes études scientifiques in Bures-sur-Yvette , where he became interested in abstract algebra and algebraic geometry .[ 5] In 1967 he was invited by Saunders Mac Lane to visit the University of Chicago for three months; Mac Lane was impressed by Roos and later wrote a very positive letter of recommendation for him.[ 3]
Upon his return to Sweden, Roos was appointed Professor of Mathematics at Stockholm University in 1970, and started building a strong algebra school.[ 2] He was elected to the Royal Swedish Academy of Sciences in 1980 and was its President from 1980 to 1982.[ 6] While serving on the Academy, he was on the committees deciding the Rolf Schock Prizes in Mathematics[ 7] and the Crafoord Prize in Astronomy and Mathematics.[ 8]
Roos made important contributions to homological algebra , and did extensive computer-assisted studies of Hilbert–Poincaré series and their rationality.[ 9] A special issue of the journal Homology, Homotopy and Applications ("The Roos Festschrift volume") was published in 2002, on the occasion of his 65th birthday.[ 10]
He died on 15 December 2017 at his home in Uppsala [ 2] and is buried at the Uppsala old cemetery .
Roos, Jan-Erik (1961). "Sur les foncteurs dérivés de
lim
←
{\displaystyle \varprojlim }
. Applications". Comptes rendus de l'Académie des Sciences . 252 : 3702–3704. MR 0132091 .
Roos, Jan-Erik (1993). "Commutative non-Koszul algebras having a linear resolution of arbitrarily high order. Applications to torsion in loop space homology". Comptes rendus de l'Académie des Sciences . 316 (11): 1123–1128. MR 1221635 .
Löfwall, Clas; Roos, Jan-Erik (1997). "A Nonnilpotent 1-2-Presented Graded Hopf Algebra Whose Hilbert Series Converges in the Unit Circle" . Advances in Mathematics . 130 (2): 161–200. doi :10.1006/aima.1997.1667 . MR 1472316 .
Roos, Jan-Erik; Sturmfels, Bernd (1998). "A toric ring with irrational Poincaré-Betti series". Comptes rendus de l'Académie des Sciences . 326 (2): 141–146. Bibcode :1998CRASM.326..141R . doi :10.1016/S0764-4442(97)89459-1 . MR 1646972 .
Roos, Jan-Erik (2006). "Derived functors of inverse limits revisited". Journal of the London Mathematical Society . 73 (1): 65–83. doi :10.1112/S0024610705022416 . MR 2197371 . S2CID 122666355 .
Roos, Jan-Erik (2008). "The homotopy Lie algebra of a complex hyperplane arrangement is not necessarily finitely presented" . Experimental Mathematics . 17 (2): 129–143. arXiv :math/0610126 . doi :10.1080/10586458.2008.10129030 . MR 2433880 . S2CID 7626968 .
Roos, Jan-Erik (2010). "Three-dimensional manifolds, skew-Gorenstein rings and their cohomology" . Journal of Commutative Algebra . 2 (4): 473–499. arXiv :1005.2919 . doi :10.1216/JCA-2010-2-4-473 . MR 2753719 .
^ a b c d "Jan-Erik Roos: 1935–2017" (PDF) . London Mathematical Society Newsletter . 477 : 45. 2018. MR 3837430 .
^ a b c Almkvistl, Gert (15 February 2018). "My friend Jan-Erik Roos" (PDF) . Bulletinen (in Swedish): 10–13. Retrieved 4 June 2020 .
^ Jan-Erik Roos at the Mathematics Genealogy Project
^ Laudal, Olav Arnfinn (15 February 2018). "Jan Erik Roos in Paris" (PDF) . Bulletinen (in Swedish): 6–10. Retrieved 3 June 2020 .
^ Roos, Jan-Erik (June 2012). "Torsten Ekedahl" (PDF) . European Mathematical Society Newsletter . 84 : 16–18. Retrieved 4 June 2020 .
^ "Rolf Schock – uniting philosophy, mathematics, music and art" . news.cision.com . 13 February 2014. Retrieved 3 June 2020 .
^ "The Crafoord Prize in Mathematics and Astronomy 2008" . crafoordprize.se . 17 January 2008. Retrieved 3 June 2020 .
^ Avramov, Luchezar L. (2002). "The work of Jan-Erik Roos on the cohomology of commutative rings" . Homology, Homotopy and Applications . 4 (2): 1–16. doi :10.4310/HHA.2002.v4.n2.a1 . ISSN 1532-0073 . MR 1918181 . Zbl 1003.01010 .
^ Lambe, Larry; Löfwall, Clas, eds. (January 2002). "The Roos Festschrift volumes 1 and 2" . Homology, Homotopy and Applications . 4 (2): ii–vi, 1–225 and 227–437. MR 1918180 . and MR 1918521
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