picture

Joanna Meinel

Mathematical Institute
University of Bonn
Endenicher Allee 60
53115 Bonn

e-mail joanna ( add @math.uni-bonn.de)


I am a postdoc working in representation theory of Lie algebras, quantum groups and generalized Weyl algebras. Since 05/2017 I am employed at the headquarters of Deutsche Telekom AG in Bonn, including regular research leaves.

From 09/2016 until 04/2017 I was a postdoc at the Institute of Algebra and Number Theory at the University of Stuttgart in the working group of Steffen Koenig.
I did my PhD in 07/2016 here in Bonn supported by BIGS, the IMPRS program of the Max Planck Institute for Mathematics, and by a Deutsche Telekom Stiftung scholarship. I was part of the Algebra and Representation Theory in Bonn working group, my advisor was Catharina Stroppel.




Interests

I study Generalized Weyl Algebras, in particular I am interested in
  • Primitive ideals
  • The center and commutative subalgebras
  • (Highest) weight modules
  • Categorification of (highest) weight modules
of Generalized Weyl Algebras, but also for simple Lie algebras, Quantum groups etc.

Furthermore, I am interested in diagram algebras and related algebras, like the affine nilTemperley-Lieb algebra or the plactic algebra, for which I look at
  • Graphical representations via particle configurations
  • Bases
  • Relationship to affine cellular algebras
  • Description of the center.




Publications and Preprints

  • The Gerstenhaber structure on the Hochschild cohomology of a class of special biserial algebras, with V. Nguyen, B. Pauwels, M. Redondo, A. Solotar, preprint, arXiv:1803.10909
  • The center of the affine nilTemperley-Lieb algebra, with G. Benkart, Math. Z. 284 (2016), no. 1-2, arXiv:1505.02544
  • Duflo Theorem for a Class of Generalized Weyl Algebras, J. Algebra Appl. 14 (2015), no. 10, arXiv:1405.3917
  • Goldie rank of primitive quotients via lattice point enumeration, with C. Stroppel, Glasg. Math. J. 55 (2013), no. A, arXiv:1212.5411
  • An irregular complex-valued solution to a scalar linear parabolic equation, with J. Frehse, Int. Math. Res. Not. IMRN (2008), Article ID rnn074

Theses:


Posters displayed at the annual BIGS poster exhibition:





Past events

I was one of the organizers of the workshop Young Women in Representation Theory held at the Hausdorff Center for Mathematics Bonn (June 23-25, 2016).



Last update: 05.06.2018