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Mathematisches Institut
Endenicher Allee 60
53115 Bonn, Germany

Office: 3.023
Tel: +49 228 73 62239
eMail: f.hebestreit at math.uni-bonn.de
Web: http://www.math.uni-bonn.de/people/fhebestr/
Office hours: by appointment

Fabian Hebestreit

I am (and will be for the foreseeable future) a Post-Doc in the Topology group at the University of Bonn under the supervision of Wolfgang Lück.
During the winter term 17/18 I was on leave from Bonn as a visiting professor in the Differential Geometry group at the University of Augsburg substituting for Wolfgang Steimle.
Here is a rather lenghty CV.

Furthermore, I am currently the organiser of the Bonn topology seminar.

Research Interests

Manifolds, mostly high dimensional! That is: Algebraic & Geometric Topology with a view towards Differential Geometry.
More specifically at the moment: Surgery theory and its applications to scalar curvature questions; cobordism categories and characteristic classes of manifold bundles; twisted bordism groups and parametrised homotopy theory

Publications and Preprints

In preparation

  • with M. Joachim: A factorisation of the twisted index map via parametrised homotopy theory.
  • with S. Stolz: Q_0-acyclic A(1)-modules and their Ext-groups.
  • with M. Land, G. Laures: Infinite loop space structures on G/Top.
  • with N. Perlmutter: Stable stability in odd dimensions.
  • with W. Steimle: Cobordism categories of chain complexes

Teaching

This semester I give the seminar Real Divisionalgebras (in german).

Last semester I taught the lecture course Algebraic topology (in german), together with two seminars: The space of positive scalar curvature metrics, and Representation theory of finite groups (in german), all at the University of Augsburg.

Previously I was the teaching assistant of Saint Nikolaus for the lecture course Algebraic Topology II, and that of Jens Franke for the lecture courses Linear algebra I, II and Introduction to algebra. More information can be found on the course's website.