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Prof. Dr. Jens Hornbostel
Hausdorff Center for Mathematics
Universität Bonn
Villa Maria
Endenicher Allee 62
53115 Bonn
Raum: 1
Telefon: ++ (49)(228) 73-62227
e-mail: jens.hornbostel@hcm.uni-bonn.de
Sprechstunde: Mittwoch 14 - 15 Uhr (in der Vorlesungszeit) und nach Vereinbarung.
Lehre im Sommersemester 2008: Vorlesung Topologie 2 (Mi und Fr 8 Uhr ct, kl. Hörsaal), Übungen n. V.
Graduate Seminar on Motivic Cohomology (Program). Freitag 10 Uhr ct,
Seminarrraum E.
Research Seminar of the GRK 1150: Algebraic
K-theory of number fields (after A. Borel) (Program).
Lehre im Wintersemester 2008/2009: Graduate Seminar on Topological K-theory, Dienstag 15 Uhr ct, Seminarraum E (Program).
Lehre im Wintersemester 2009/2010: Vorlesung Derived and triangulated categories, Dienstag und Donnerstag um 10 Uhr ct, Raum 0.007.
Ich bin Mitglied der Arbeitsgruppe Topologie und des Mathematischen Instituts.
Postdocs: Oliver Petras, Christophe Cazanave (gemeinsam mit C.-F. Bödigheimer)
Diplomanden: Moritz Firsching, Stefan Hähne, Simon Markett
Publications and Preprints:
- Sur la K-théorie des catégories additives et exactes hermitiennes, C. R. Acad. Sci. Paris, t.329 (1999), 469-474
- Thèse de doctorat, Université Paris 7, 2001 dvi.
- Constructions and Dévissage in Hermitian K-theory, K-theory 26 (2002), 139-170.
- Localization in Hermitian K-theory of rings (joint with M. Schlichting), Journal of the LMS 70 (2004), 77-124.
- A1-representability of hermitian K-theory and Witt groups, Topology 44 (2005), 661-687.
- A Zero Theorem for the Transfer of Coherent Witt Groups (joint with S. Gille), Math. Nachrichten 278 (2005), 815-823.
- Motives and étale motives with finite coefficients (joint with C. Häsemeyer), K-theory 34 (2005), 195-207.
- Localizations in motivic homotopy theory, Math. Proc. of the Cambridge Phil. Soc. 140 (2006), 95-114.
- On non-commutative twisting in étale and motivic cohomology (joint with G. Kings), Annales de l'Institut Fourier 56 (2006), 1257-1279.
- Rigidity for Henselian local rings and A^1-representable theories (joint with S. Yagunov), Math. Zeitschrift. 225 (2007), 437-449.
- Witt motives, transfers and reductive groups (joint with B. Calmes), preprint 2004. Available as preprint no. 143 of the Linear Algebraic Groups and Related Structures Preprint Server .
- Witt motives, transfers and dévissage (joint with B. Calmes), preprint 2006 (extending parts of the previous item). Available as preprint no. 786 of the K-theory preprint archives .
- Beta-elements and divided congruences (joint with N. Naumann), American Journal of Mathematics 129 (2007), 1377-1402.
- Oriented Chow groups, hermitian K-theory and the Gersten conjecture, Manuscripta Math. 125 (2008), 273-284.
- Tensor-triangulated categories and dualities (joint with B. Calmes), Theory and Appl. of Categories 22 (2009), 136-198.
- Push-forwards for Witt groups of schemes (joint with B. Calmes), preprint 2008, to appear in Comment. Math. Helv, available on the arXiv.
- Schubert calculus for algebraic cobordism (joint with V. Kiritchenko), preprint 2009, available on the arXiv.