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• Ring Theory Seminar
• Algebra & Geometry Seminar
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The expertise of the Algebra and Number Theory Group at the Department of Mathematics and Scientific Computing at the University of Graz covers topics ranging from commutative algebra, (non-)commutative ring theory, representation theory to singularity theory.

We are particularly interested in the following:

• arithmetic of rings and monoids (the monoids we mainly have in mind are monoids of ideals and monoids of modules)
• interactions between their arithmetic and their algebraic structure, their multiplicative ideal theory, and their factorization theory
• topics in additive combinatorics, including zero-sum problems, addition theorems, and polynomial methods
• 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 Graz School of Discrete Mathematics and the Doctoral Academy Graz .