The research carried out by the Algebra & Geometry Group is mainly focused on non-associative algebra, non-commutative algebra and non-commutative geometry.

The structures that are being investigated include (but are not limited to):

• Group graded rings and especially epsilon-strongly graded rings, incl. Leavitt path algebras
• Crossed products and partial actions by groups
• Quantum groups
• Ore extensions (associative / non-associative)
• Principal bundles