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| 2001 | Thèse de doctorat, Paris Diderot University (Paris 7), France | | 2001 - 2002 | Postdoc, Northwestern University, Evanston, IL, USA | | 2002 - 2007 | Assistant Professor, University of Regensburg | | 2007 - 2010 | Professor (W2, Bonn Junior Fellow), University of Bonn | | 2010 | Professor (W2), University of Bielefeld | | Since 2010 | Professor (W3), University of Wuppertal |
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My main research interests are related to algebraic K-theory and motivic homotopy theory in the sense of Morel-Voevodsky. I am in particular interested in generalized algebraic cohomology theories representable in the motivic stable homotopy category, e.g. Hermitian K-theory, Witt groups and algebraic cobordism.
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Georgian-German Algebra and Topology Partner Group (founded by the Volkswagenstiftung)
Member
Workshop “Geometric Aspects of Motivic Homotopy Theory”
Organizer, Bonn, 2010 (with Jardine, Levine)
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Former Research Area E
Together with Calmes ([1] and an article which has just appeared [2]), we established push-forward morphisms for Witt groups with respect to proper morphisms, along with basic properties and some applications. In a preprint with my postdoc Kirichenko (to appear in Crelle) we provide a Schubert calculus for algebraic cobordism of complete flag varieties. In another recent preprint, we give a proof of Lurie's theorem that K-theory classifies orientations of the derived multiplicative group, using the language of model categories and symmetric spectra. We then prove a motivic generalization of this theorem involving motivic symmetric spectra and algebraic K-theory. |
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[ 1] Baptiste Calmès, Jens Hornbostel
Tensor-triangulated categories and dualities
Theory Appl. Categ. , 22: : No. 6, 136--200
2009 |
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- Diplom theses: 5, currently 3
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