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Research Group Metric Geometry

Kollegiengebäude Mathematik (20.30)
Room 1.014

Karlsruhe Institute for Technology
Department of Mathematics
Institute for Algebra and Geometry
Englerstr. 2 Mathebau (20.30)
76131 Karlsruhe

Office hours:
Montag - Freitag
10:00 - 11:30 Uhr

Tel.: +49 721 608 42059

Fax.: +49 721 608-42148

Photo of Petra Schwer JProf. Dr. Petra Schwer

Office hour for students:
Wednesday 14:00-15:00
and by appointment

Room: 1.005
Kollegiengebäude Mathematik (20.30)
Tel.: +49 721 608 43914
Fax.: +49 721 608 42148
Email: petra.schwer@kit.edu

Karlsruher Institute of Technology
Department of Mathematics
Institute for Algebra and Geometry
Englerstr. 2 Mathebau (20.30)
76131 Karlsruhe


since October 2014 I am an Assistant Professor for Geometry here at KIT.

I am a PI in the Research training group RTG 2229 Asymptotic invariants and limits of groups and spaces and a member of the priority programme SPP 2026 Geometry at infinity.

Our group

We are part of the larger metric geometry group.

Research interests:

geometric group theory, geometric and combinatorial representation theory, spaces of non-positive curvature, algebraic combinatorics, affine Deligne-Lusztig varieties, combinatorics of Coxeter groups, buildings and their generalizations

Mathematicians on the job

Further infos on the new series of talks here: Mathematiker im Beruf (in German)

You can find out more about me here:

Semester Titel Typ
Summer Semester 2018 Seminar
Winter Semester 2017/18 Seminar
Summer Semester 2017
Winter Semester 2016/17 Seminar
Summer Semester 2016 Seminar
Summer Semester 2015
Winter Semester 2014/15

Theses written under my supervision


  • Valentin Braun (WS 2017/18)
  • Peter Breul (WS 2017/18)
  • Marius Graeber (SS 2017)
  • Holger Mühlsteph (WS 2017/18)
  • David Weniger (WS 2016/17)


  • Lena Eid (SS 2017)
  • Laura Jesser (WS 2016/17)
  • Stefan Lais (SS 2015)

Lecture on CAT(0) groups and geometry

In the summer of 2017 I was teaching the RTG lecture of our research training group in which I explained some of the nice properties CAT(0) groups and spaces.
The other half of the lecture was shared by Karin Melnick and Beatrice Pozetti.

Here are the scans of my lecture:

First session on Basics and examples.
Second session on The Bruhat-Tits fixedpoint theorem .
Third session on Gromov's link condition and other ways to test for CAT(0).
Fourth session on CAT(0) groups and Isometries of CAT(0) spaces.
Fifth session on The visual boundary and its relatives.

Teaching in Heidelberg Winter 2017/18

During the winter term 2017/18 I am a Visiting Professor at the University of Heidelberg replacing Prof. Anna Wienhard. I gave a student seminar on buildings as well as an introduction to Geometric Group Theory.