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.
  • 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

  • Advisory boards, editorial activities

  • Member of the scientific committee for CIRM, Luminy, France, 2019-2024
  • Editorial advisor for the LMS journals
  • Advisory board for Springer Lecture Notes in Mathematics

  • 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


    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 (April 2019).