Jan-Erik Roos

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

[edit]

* Roos, Jan-Erik (1961). "Sur les foncteurs dérivés de  lim <- {\displaystyle \varprojlim } . Applications". Comptes rendus de l'Académie des Sciences. 252: 3702–3704\. MR 0132091.3702-3704&rft.date=1961&rft_id=https://mathscinet.ams.org/mathscinet-getitem?mr=0132091#id-name=MR&rft.aulast=Roos&rft.aufirst=Jan-Erik&rfr_id=info:sid/en.wikipedia.org:Jan-Erik+Roos" class="Z3988">
* 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 1221635.1123-1128&rft.date=1993&rft_id=https://mathscinet.ams.org/mathscinet-getitem?mr=1221635#id-name=MR&rft.aulast=Roos&rft.aufirst=Jan-Erik&rfr_id=info:sid/en.wikipedia.org:Jan-Erik+Roos" class="Z3988">
* 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 1472316.161-200&rft.date=1997&rft_id=info:doi/10.1006/aima.1997.1667&rft_id=https://mathscinet.ams.org/mathscinet-getitem?mr=1472316#id-name=MR&rft.aulast=Löfwall&rft.aufirst=Clas&rft.au=Roos,+Jan-Erik&rft_id=https://doi.org/10.1006%2Faima.1997.1667&rfr_id=info:sid/en.wikipedia.org:Jan-Erik+Roos" class="Z3988">
* 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 1646972.141-146&rft.date=1998&rft_id=https://mathscinet.ams.org/mathscinet-getitem?mr=1646972#id-name=MR&rft_id=info:doi/10.1016/S0764-4442(97)89459-1&rft_id=info:bibcode/1998CRASM.326..141R&rft.aulast=Roos&rft.aufirst=Jan-Erik&rft.au=Sturmfels,+Bernd&rfr_id=info:sid/en.wikipedia.org:Jan-Erik+Roos" class="Z3988">
* 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 122666355.65-83&rft.date=2006&rft_id=https://mathscinet.ams.org/mathscinet-getitem?mr=2197371#id-name=MR&rft_id=https://api.semanticscholar.org/CorpusID:122666355#id-name=S2CID&rft_id=info:doi/10.1112/S0024610705022416&rft.aulast=Roos&rft.aufirst=Jan-Erik&rfr_id=info:sid/en.wikipedia.org:Jan-Erik+Roos" class="Z3988">
* 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 7626968.129-143&rft.date=2008&rft_id=info:arxiv/math/0610126&rft_id=https://mathscinet.ams.org/mathscinet-getitem?mr=2433880#id-name=MR&rft_id=https://api.semanticscholar.org/CorpusID:7626968#id-name=S2CID&rft_id=info:doi/10.1080/10586458.2008.10129030&rft.aulast=Roos&rft.aufirst=Jan-Erik&rft_id=https://projecteuclid.org/euclid.em/1227118966&rfr_id=info:sid/en.wikipedia.org:Jan-Erik+Roos" class="Z3988">
* 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 2753719.473-499&rft.date=2010&rft_id=info:arxiv/1005.2919&rft_id=https://mathscinet.ams.org/mathscinet-getitem?mr=2753719#id-name=MR&rft_id=info:doi/10.1216/JCA-2010-2-4-473&rft.aulast=Roos&rft.aufirst=Jan-Erik&rft_id=http://projecteuclid.org/euclid.jca/1292249708&rfr_id=info:sid/en.wikipedia.org:Jan-Erik+Roos" class="Z3988">

## References

[edit]

1. ^ Persson, Ulf (15 February 2018). "Jan-Erik Roos 16/10/1935 – 15/12/2017" (PDF). Bulletinen (in Swedish): 3–6. Retrieved 3 June 2020.3-6&rft.date=2018-02-15&rft.aulast=Persson&rft.aufirst=Ulf&rft_id=http://www.swe-math-soc.se/pdf/SMSbull1802.pdf&rfr_id=info:sid/en.wikipedia.org:Jan-Erik+Roos" class="Z3988">
2. ^ a b c d "Jan-Erik Roos: 1935–2017" (PDF). London Mathematical Society Newsletter. 477: 45. 2018. MR 3837430.
3. ^ a b c Almkvistl, Gert (15 February 2018). "My friend Jan-Erik Roos" (PDF). Bulletinen (in Swedish): 10–13. Retrieved 4 June 2020.10-13&rft.date=2018-02-15&rft.aulast=Almkvistl&rft.aufirst=Gert&rft_id=http://www.swe-math-soc.se/pdf/SMSbull1802.pdf&rfr_id=info:sid/en.wikipedia.org:Jan-Erik+Roos" class="Z3988">
4. ^ Jan-Erik Roos at the Mathematics Genealogy Project
5. ^ Laudal, Olav Arnfinn (15 February 2018). "Jan Erik Roos in Paris" (PDF). Bulletinen (in Swedish): 6–10. Retrieved 3 June 2020.6-10&rft.date=2018-02-15&rft.aulast=Laudal&rft.aufirst=Olav+Arnfinn&rft_id=http://www.swe-math-soc.se/pdf/SMSbull1802.pdf&rfr_id=info:sid/en.wikipedia.org:Jan-Erik+Roos" class="Z3988">
6. ^ Roos, Jan-Erik (June 2012). "Torsten Ekedahl" (PDF). European Mathematical Society Newsletter. 84: 16–18. Retrieved 4 June 2020.16-18&rft.date=2012-06&rft.aulast=Roos&rft.aufirst=Jan-Erik&rft_id=https://www.ems-ph.org/journals/newsletter/pdf/2012-06-84.pdf&rfr_id=info:sid/en.wikipedia.org:Jan-Erik+Roos" class="Z3988">
7. ^ "Rolf Schock – uniting philosophy, mathematics, music and art". news.cision.com. 13 February 2014. Retrieved 3 June 2020.
8. ^ "The Crafoord Prize in Mathematics and Astronomy 2008". crafoordprize.se. 17 January 2008. Retrieved 3 June 2020.
9. ^ 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 1003.01010.1-16&rft.date=2002&rft_id=https://zbmath.org/?format=complete&q;=an:1003.01010#id-name=Zbl&rft_id=https://mathscinet.ams.org/mathscinet-getitem?mr=1918181#id-name=MR&rft.issn=1532-0073&rft_id=info:doi/10.4310/HHA.2002.v4.n2.a1&rft.aulast=Avramov&rft.aufirst=Luchezar+L.&rft_id=https://projecteuclid.org/euclid.hha/1139852454&rfr_id=info:sid/en.wikipedia.org:Jan-Erik+Roos" class="Z3988">
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. MR 1918180.ii-vi,+1-225+and+227-437&rft.date=2002-01&rft_id=https://mathscinet.ams.org/mathscinet-getitem?mr=1918180#id-name=MR&rft_id=https://projecteuclid.org/euclid.hha/1139852453&rfr_id=info:sid/en.wikipedia.org:Jan-Erik+Roos" class="Z3988"> and MR1918521

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