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Foto: Severin Nowacki

Prof. Dr. Karin Baur

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;
Orbit structures, parabolic subalgebras, Richardson elements.

E-mail: baurk@uni-graz.at

Phone: ++ 43 - 316 380 - 5150

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


Current Grants

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.


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

Future, current and past activities

  • Cluster Algebras and Combinatorics, February 2014.
    Organizers: K. Baur, L. Hille.
  • Cluster Algebras and Combinatorics, 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.
  • 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 Züt , 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 Starting from November 7, 2013 we have 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 .
    m-th powers C. Ducrest has written an algorithm to compute the components of a certain translation quiver, the so-called m-th power of a quiver of diagonals. The algorithm is available at Algorithm. There is also a short documentation explaining how it works at Documentation.


    A CV can be found here.