# Algebra

**The group is focusing on algebraic geometry, code theory, homological algebra and number theory. The research has important applications in computer science.**

**Group leader: **Hugues Verdure

**Fields of research: **

Algebraic geometry

- Symmetry in algorithmics and quantitative real algebraic geometry
- Combinatorial algebra, matroids, codes and applications of algebraic geometry

Homological algebra

- Homology and homotopy theory for general topological spaces
- Sheaves and cosheaves

Number theory

- Algebraic number theory
- Elliptic and hyperelliptic curves
- Ideal class groups
- Analytic number theory
- Use of matrix algebra to study arithmetic functions such as Mertens and Möbius functions.

**Other groups at the Department of Mathematics and Statistics:**

Complex Systems Modeling (CoSMo)

Geometry and Mathematical Physics

**Seminars:**