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You are here: FRIAS Fellows Fellows 2017/18 Prof. Dr. Annette Huber-Klawitter

Prof. Dr. Annette Huber-Klawitter

Albert-Ludwigs-Universität Freiburg
Mathematics
Internal Senior Fellow
October 2017 - July 2018

CV

Annette Huber-Klawitter works in number theory, i.e, on questions about properties of the integers. She follows the very modern and successfull approach ofarithmetic geometry: equations are seen as describing geometric objects, which are then studied by methods of algebraic geometry. Prof. Huber-Klawitter works in particular on motives (a conjectural universal cohomology theory), periods and special values of L-functions.

As a high school student she was a three times winner of the Bundeswettbewerb Mathematik. She then studied mathematics and physics in Frankfurt, Cambridge and Münster. In 1994 she obtained a doctorate from the University of Münster in mathematics under the supervision of Christopher Deninger. After her habilitation in 1999, also at Münster, she was appointed full professor at the University of Leipzig. She moved to Freiburg in 2008. Since 2012 she leads the Graduiertenkolleg Cohomolgical Methods in Algebraic Geometry.

In 2002, she was an invited speaker at the ICM in Beijing. In 2008 she was elected member of the Deutsche Akademie der Naturforscher Leopoldina and in 2012 Fellow of the AMS.

Annette Huber-Klawitter is married with two children.

Selected Publications

  • A. Huber, S. Müller-Stach, with contributions of Benjamin Friedrich and Jonas von Wangenheim, Periods and Nori motives, Springer Verlag, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 65, 2017.
  • A. Huber, C. Jörder, Differential forms in the h-topology, (pdf) Algebraic Geometry, Volume 1, Issue 4 (October 2014), 449-478.
  • A. Huber, G. Kings. Equivariant Bloch-Kato conjecture and non-abelian Iwasawa Main Conjecture. Proceedings of the ICM, Beijing 2002, vol. II, pp. 149-162. Higher Education Press, Beijing, 2002.
  • A. Huber, G. Kings. Degeneration of l-adic Eisenstein classes and of the elliptic polylog. Inventiones Mathematicae 135(3): 545-594, 1999.
  • A. Huber. Mixed motives and their realization in derived categories. Lecture Notes in Mathematics 1604. Springer-Verlag, Berlin, 1995.

FRIAS Rersearch Project

Cohomological Methods in Algebraic Geometry and Representation Theor

The theme of the FRIAS Research Focus is cohomology, a set of ideas for generating and computing invariants in a variety of geometric settings. Today, the idea of cohomology is central to all geometric disciplines of pure mathematics, as well as arithmetic and representation theory. It certainly appears prominently in each of the applicants long-term research plans.

The use of a common method allows to transfer ideas and results from one discipline to another, though prima facie, these might appear unrelated. The Research Focus aims to draw on these synergies. Learning from each other, and exploiting the similarities and differences between the participating researcher’s specialty fields, we expect to see progress in each concrete research project.