# Algebra

Organisational unit: Research group

### Description

The main research activities focus on

Commuting elements in Ore extensions. In particular exploring when commuting elements are algebraically dependent over subrings of an Ore extension. Further information at Non-commutative geometry and its applications.

Structure and representation theory for vertex operator algebras. These algebraic structures are foundational for conformal field theory and string theory in theoretical physics.Further information at Vertex operator algebras

Solving systems of polynomial equations using combinations of algebraic geometry and numerical linear algebra. This research has connections to the project Polynomial equations in geometry and computer vision.

Computational group theory, in particular investigation of maximal symmetry groups of hyperbolic space using algorithmic methods.

## Recent research outputs

*Pattern Recognition (ICPR), 2014 22nd International Conference on.*IEEE--Institute of Electrical and Electronics Engineers Inc., p. 750-755 6 p.

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding

Research output: Contribution to journal › Article

Research output: Contribution to journal › Article