About the research group

The research of the Algebra and Number Theory Group covers topics ranging from commutative algebra, (non-)commutative ring theory, representation theory to singularity theory. 

We are particularly interested in the following:

• understanding and explaining geometric phenomena of algebraic varieties in the presence of singularities, using methods from commutative algebra and representation theory
• the interaction between geometric and homological aspects of singularities, in particular, singularity categories
• geometric and combinatorial aspects of representation theory, in particular, cluster structures

We have close links with the research group Algebraic Structures and Geometry of Martin Kalck. We participate in the FWF funded Doctoral Program Discrete Mathematics and the Doctoral Academy Graz.

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