Jannsen's research deals with, among other topics, the Galois theory of algebraic number fields, the theory of motives in algebraic geometry, the Hasse principle (local–global principle), and resolution of singularities. In particular, he has done research on a cohomology theory for algebraic varieties, involving their extension in mixed motives as a development of research by Pierre Deligne, and a motivic cohomology as a development of research by Vladimir Voevodsky. In the 1980s with Kay Wingberg he completely described the absolute Galois group of p-adic number fields, i.e. in the local case.[3]
"On the ℓ-adic cohomology of varieties over number fields and its Galois cohomology." In Galois Groups over , pp. 315–360. Springer, New York, NY, 1989.
Mixed motives and algebraic K-theory, Lecture Notes in Mathematics vol. 1400, Springer Verlag 1990 (with appendices by C. Schoen and Spencer Bloch).
with Steven Kleiman and Jean-Pierre Serre (eds.): Motives, Proc. Symposium Pure Mathematics vol. 55, 2 vols., American Mathematical Society 1994 (Conference University of Washington, Seattle, 1991) vol. 2
Motives, numerical equivalence and semi-simplicity, Inventiones Mathematicae, vol. 107 1992, pp. 447–452 doi:10.1007/BF01231898
^Jannsen, U.; Wingberg, K. (1982). "'Die Struktur der absoluten Galoisgruppe p-adischer Zahlkörper" (PDF). Inventiones Mathematicae. 70: 71–98. doi:10.1007/BF01393199. S2CID 119378923.
^Jannsen, Uwe. "Mixed motives, motivic cohomology, and Ext-groups." In Proceedings of the International Congress of Mathematicians, vol. 1, p. 2. 1994.
jannsen, born, march, 1954, german, mathematician, specializing, algebra, algebraic, number, theory, algebraic, geometry, jannsen, oberwolfach, 2009, contents, education, career, selected, publications, references, external, linkseducation, career, editborn, m. Uwe Jannsen born 11 March 1954 1 is a German mathematician specializing in algebra algebraic number theory and algebraic geometry Jannsen at Oberwolfach 2009 Contents 1 Education and career 2 Selected publications 3 References 4 External linksEducation and career editBorn in Meddewade Jannsen studied mathematics and physics at the University of Hamburg with Diplom in mathematics in 1978 and with Promotion PhD in 1980 under Helmut Bruckner and Jurgen Neukirch with thesis Uber Galoisgruppen lokaler Korper On Galois groups of local fields 2 In the academic year 1983 1984 he was a postdoc at Harvard University From 1980 to 1989 he was an assistant and then docent at the University of Regensburg where he received in 1988 his habilitation From 1989 to 1991 he held a research professorship at the Max Planck Institut fur Mathematik in Bonn In 1991 he became a full professor at the University of Cologne and since 1999 he has been a professor at the University of Regensburg Jannsen s research deals with among other topics the Galois theory of algebraic number fields the theory of motives in algebraic geometry the Hasse principle local global principle and resolution of singularities In particular he has done research on a cohomology theory for algebraic varieties involving their extension in mixed motives as a development of research by Pierre Deligne and a motivic cohomology as a development of research by Vladimir Voevodsky In the 1980s with Kay Wingberg he completely described the absolute Galois group of p adic number fields i e in the local case 3 In 1994 he was an Invited Speaker with talk Mixed motives motivic cohomology and Ext groups at the International Congress of Mathematicians in Zurich 4 He was elected in 2009 a full member of the Bayerische Akademie der Wissenschaften and in 2011 a full member of the Academia Europaea His doctoral students include Moritz Kerz 5 Selected publications editContinuous etale cohomology Mathematische Annalen vol 280 no 2 1988 pp 207 245 doi 10 1007 BF01456052 On the ℓ adic cohomology of varieties over number fields and its Galois cohomology In Galois Groups over Q displaystyle mathbb Q nbsp pp 315 360 Springer New York NY 1989 Mixed motives and algebraic K theory Lecture Notes in Mathematics vol 1400 Springer Verlag 1990 with appendices by C Schoen and Spencer Bloch with Steven Kleiman and Jean Pierre Serre eds Motives Proc Symposium Pure Mathematics vol 55 2 vols American Mathematical Society 1994 Conference University of Washington Seattle 1991 vol 2 Motives numerical equivalence and semi simplicity Inventiones Mathematicae vol 107 1992 pp 447 452 doi 10 1007 BF01231898References edit biography pdf University of Regensburg Jannsen Uwe 1982 Uber Galoisgruppen lokaler Korper PDF Inventiones Mathematicae 70 1 53 69 Bibcode 1982InMat 70 53J doi 10 1007 BF01393198 S2CID 120934623 Jannsen U Wingberg K 1982 Die Struktur der absoluten Galoisgruppe p adischer Zahlkorper PDF Inventiones Mathematicae 70 71 98 doi 10 1007 BF01393199 S2CID 119378923 Jannsen Uwe Mixed motives motivic cohomology and Ext groups In Proceedings of the International Congress of Mathematicians vol 1 p 2 1994 Uwe Jannsen at the Mathematics Genealogy ProjectExternal links editHomepage in Regensburg Bericht seiner Forschungsgruppe in Regensburg Retrieved from https en wikipedia org w index php title Uwe Jannsen amp oldid 1192969228, wikipedia, wiki, book, books, library,
