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


Grants (selection)

  • Grassmannian Cluster Categories and Braid Groups Lise Meitner-Fellowship (FWF). Host for Dr. Jianrong Li, 2019-2021. <\li>
  • Doctoral Program DK Discrete Mathematics , W1230, FWF, 2019-2023 (3rd period).
  • Dimer algebras on surfaces, P 30549, FWF, 2017-2020.
  • Mathematics and Arts: Towards a balance between artistic intuition and mathematical complexity. KFU Graz, 2014-2019.
  • Doctoral Program DK Discrete Mathematics , W1230, FWF, 2014-2018 (2nd period).
  • Symmetric groups and geometric representation theory, P 25647, FWF, 2013-2016. Researcher on the project: Dr. Dusko Bogdanic.
  • Surface Algebras, P 25141, FWF, November 2012 - November 2015. Researchers on the project: Dr. Mark Parsons, Hannah Vogel.
  • Cluster categories and triangulations, Prodoc Module, SNSF. 2009 - 2013.
  • Representation Theory of Blocks of Group Algebras with Non-abelian Defect Groups Host for Marie Curie Intra-European Fellowship, with D. Bogdanic. 2011-2013
  • Orbit structures in Representation Spaces, SNSF Professorship. 2007 - 2009

  • Group

    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


  • WINART2 workshop, Leeds, May 20-24, 2019.
    Organizers: K. Baur, G. Benkart, E. Faber, E. Kirkman, C. Walton.
  • Europen Women in Mathematics General Meeting 2018, Graz, September 3-7, 2018.
    Organizers: K. Baur, K. Hess, E. Resmerita, C. Schönlieb.
  • 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
  • A career path in Mathematics. Slides (pdf) of a Public Talk at the University of Leeds (event page)
  • Talk on frieze patterns at Tag der Mathematik , Graz 2013, slides: Vortrag.
  • Inaugural lecture, University of Graz. 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, ETHZ, April 2008. This lecture has been taped and can be accessed at Einführungsvorlesung.

  • Curriculum Vitae

    A CV can be found here (November 2018).

    Travel dates

    schedule (provisional).