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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 Wintersemester 2009/2010: Vorlesung Derived and triangulated categories, Dienstag und Donnerstag um 10 Uhr ct, Raum 0.007.
Lehre im Sommersemester 2010: Graduate Seminar on Classical and Motivic Stable Homotopy Theory, Dienstag 14 Uhr ct, Seminarraum tba (Program).
Workshop on Geometric Aspects of Motivic Homotopy Theory in September 2010
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, Dominik Nieder, Sven Stahn
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.