Jan-Erik Roos

Short description: Swedish mathematician (1935–2017)

Jan-Erik Ingvar Roos (16 October 1935 – 15 December 2017)[1] 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.

## Publications

* Roos, Jan-Erik (1961). "Sur les foncteurs dérivés de lim<-. Applications". Comptes rendus de l'Académie des Sciences 252: 3702–3704.
* 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.
* 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.
* 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. doi:10.1016/S0764-4442(97)89459-1. Bibcode: 1998CRASM.326..141R.
* Roos, Jan-Erik (2006). "Derived functors of inverse limits revisited" (in en). Journal of the London Mathematical Society 73 (1): 65–83. doi:10.1112/S0024610705022416.
* Roos, Jan-Erik (2008). "The homotopy Lie algebra of a complex hyperplane arrangement is not necessarily finitely presented". Experimental Mathematics 17 (2): 129–143. doi:10.1080/10586458.2008.10129030. https://projecteuclid.org/euclid.em/1227118966.
* Roos, Jan-Erik (2010). "Three-dimensional manifolds, skew-Gorenstein rings and their cohomology". Journal of Commutative Algebra 2 (4): 473–499. doi:10.1216/JCA-2010-2-4-473. http://projecteuclid.org/euclid.jca/1292249708.

## References

1. ↑ Persson, Ulf (15 February 2018). "Jan-Erik Roos 16/10/1935 – 15/12/2017" (in sv). Bulletinen: 3–6. http://www.swe-math-soc.se/pdf/SMSbull1802.pdf. Retrieved 3 June 2020.
2. ↑ 2.0 2.1 2.2 2.3 "Jan-Erik Roos: 1935–2017". London Mathematical Society Newsletter 477: 45. 2018. https://www.lms.ac.uk/sites/lms.ac.uk/files/files/NLMS_477_reduced_0.pdf.
3. ↑ 3.0 3.1 3.2 Almkvistl, Gert (15 February 2018). "My friend Jan-Erik Roos" (in sv). Bulletinen: 10–13. http://www.swe-math-soc.se/pdf/SMSbull1802.pdf. Retrieved 4 June 2020.
4. ↑ Jan-Erik Roos at the Mathematics Genealogy Project
5. ↑ Laudal, Olav Arnfinn (15 February 2018). "Jan Erik Roos in Paris" (in sv). Bulletinen: 6–10. http://www.swe-math-soc.se/pdf/SMSbull1802.pdf. Retrieved 3 June 2020.
6. ↑ Roos, Jan-Erik (June 2012). "Torsten Ekedahl". European Mathematical Society Newsletter 84: 16–18. https://www.ems-ph.org/journals/newsletter/pdf/2012-06-84.pdf. Retrieved 4 June 2020.
7. ↑ "Rolf Schock – uniting philosophy, mathematics, music and art". 13 February 2014. https://news.cision.com/kungl--vetenskapsakademien/r/rolf-schock
uniting-philosophy--mathematics--music-and-art,c9535496.
8. ↑ "The Crafoord Prize in Mathematics and Astronomy 2008". 17 January 2008. https://crafoordprize.se/press_release/the-crafoord-prize-in-mathematics-and-astronomy-2008.
9. ↑ Avramov, Luchezar L. (2002). "The work of Jan-Erik Roos on the cohomology of commutative rings" (in EN). Homology, Homotopy and Applications 4 (2): 1–16. doi:10.4310/HHA.2002.v4.n2.a1. ISSN 1532-0073. https://projecteuclid.org/euclid.hha/1139852454.
10. ↑ 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. https://projecteuclid.org/euclid.hha/1139852453. and MR1918521

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