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Discrete Mathematics
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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, module categories;
Frieze patterns, surface algebras, triangulations and tilings;
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.
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

Future, current and past activities

  • 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.
  • 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.

    Why I chose math?

    Appeared in the group ``Women in Maths'' (facebook.com), June 2015:

    Women in Maths with Karin Baur

    ``Why I chose math? I don't remember not loving playing around with math puzzles. I think that everyone in my family liked them. (And to some extend, my kids love math, too...) After finishing school, I hesitated at first, as medicine also seemed interesting to me. I realised that math is more attractive to me. It has its own beauty and its own rules. In medicine, there are a lot of unknowns you have to take into account.
    After obtaining my first degree from the University of Zurich, I went on to do a PhD at the University of Basel. I remember being very happy that for the first time, I was earning money by doing my favorite thing, mathematics.
    As students, we were told that a career in mathematics was very unpredictable and that there were no jobs around. As intimidating as this was, it made me go and try it out step-by-step, always aware that it might not work out. It felt very difficult at times, but worked out in the end. It involved moving around (or commuting) a lot, with positions at UCSD (San Diego) CA, University of Leicester, UK, ETH Zurich and now in Graz, Austria. This means that we have friends in various places, a great feeling.

    What I like about math is that I can do it everywhere, that you can think about mathematical problems at night, on a plane, discuss them with colleagues, etc. There are many opportunities to travel and meet other mathematicians in related fields. My research is in algebra and most of the time, I only need paper and pencil. I love to sit in a coffee place and do some work, first thing in the morning, before heading to my office.''