Prof. Dr. Karin Baur

Foto: Severin Nowacki
Research: My research interests lie in algebraic, geometric and combinatorial methods in representation theory
(originally of Lie algebras and more recently of algebras...):
Cluster algebras, cluster categories, categorifications of representations, module categories;
Frieze patterns, surface algebras, triangulations and tilings;
Orbit structures, parabolic subalgebras, Richardson elements.


Phone: ++ 43 - 316 380 - 5150

Address: Institut für Mathematik und wissenschaftliches Rechnen
Universität Graz
Heinrichstrasse 36
A-8010 Graz



1) Surface Algebras, P 25141-N26, FWF, November 2012 - November 2015. Researchers on the project: Dr. Mark Parsons, Hannah Vogel.
2) Symmetric groups and geometric representation theory, P 25647-N26, FWF, 2013-2016. Researcher on the project: Dr. Dusko Bogdanic.
3) Mathematics and Arts: Towards a balance between artistic intuition and mathematical complexity. KFU Graz, 2014-2017.
Project page: thecollaborativemind
Article in IMN, 2016 link


The group in Algebra and Number Theory, a list of current and past students and of post-docs working with me can be found here
A list of diploma/master/bachelor thesis students is here here


  • New Trends in Representation Theory: The Impact of Cluster Theory in Representation Theory.
    LMS/CMI research school, Leicester, June 19-23, 2017.
    Organizers: K. Baur, S. Schroll.
  • Geometry and Representation Theory, ESI, Vienna, January 2017.
    Organizers: T. Arawaka, K. Baur, V. Kac, A. Moreau.
  • Cluster Algebras and Geometry, Münster, March 2016.
    Organizers: K. Baur, L. Hille.
  • Cluster Algebras and Combinatorics, Münster, February 2014.
    Organizers: K. Baur, L. Hille.
  • Cluster Algebras and Combinatorics, Graz, March 2012.
    Organizers: K. Baur, L. Hille.
  • Algebraic Groups and Invariant Theory, at Centro Stefano Franscini, Switzerland, August 30 - September 4, 2009.
    Organizers: K. Baur, A. Premet, D. Testerman.
  • Representation Theory Days in Zurich at FIM, ETH Zurich, November 27-29, 2008.
    Organizers: K. Baur, A. Moreau.
  • Cherednik algebras at ICMS Edinburgh, UK, Jun 18 -22, 2007.
    Organizers: K. Baur, P. Etingov, V. Ginzburg, I. Gordon, A. Parker, C. Stroppel
  • Broader audience talks Talk on frieze patterns at Tag der Mathematik , Graz 2013, slides: Vortrag.
    Inaugural lecture, newer . June 13, 2012, short version of the slides: Einführungsvorlesung.
    Vortrag an der Seniorenuniversität Zürich , März 2011, Folien: Triangulierungen: Dreiecke als Grundbausteine von Polygonen.
    Inaugural lecture, old , April 2008. This lecture has been taped and can be accessed at
    Seminars/Reading groups During the winter semester 2013/14, we had a bi-weekly reading group on Quiver with potentials and their representations I: Mutations. by H. Derksen, J. Weyman and A. Zelevinsky.
    In the fall semester 2010 we had a reading group in the area of cluster algebras and total positivity, see info
    In the fall semester 2009 we had a student seminar/reading group on the article Cluster algebras, quiver representations and triangulated categories, see pdf-file, by Bernhard Keller. Seminar webpage: Cluster algebras and triangulated surfaces .

    Curriculum Vitae

    A CV can be found here (January 2017).
    Travel dates