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.

In 06/2018 I attend the conference Interactions of quantum affine algebras with cluster algebras, current algebras and categorification at the Catholic University of America in Washington, D.C.
In 03/2018 I was at the Department of Mathematics at Iowa State University visiting Jonas Hartwig.

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