# Christian Lucius Urech

### Fields of expertise

My research interests include: Cremona groups, groups of birational transformations, degree sequences, polynomial automorphisms of affine spaces, classical algebraic geometry, birational geometry, affine algebraic geometry, algebraic group actions, geometric group theory, actions of groups on CAT(0) cube complexes, asymptotically rigid mapping class groups.

### Teaching & PhD

#### Teaching

Mathematics

### Courses

#### Linear algebra (flipped classroom)

The purpose of the course is to introduce the basic notions of linear algebra and its applications. This pilot class is given with a flipped design.

Program: *Section of Environmental Sciences and Engineering*

#### Algebraic topology

Homology is one of the most important tools to study topological spaces and it plays an important role in many fields of mathematics. The aim of this course is to introduce this notion, understand its properties and learn how to compute it. There will be many examples and applications.

Program: *Section of Mathematics*

#### Linear algebraic groups

The aim of the course is to give an introduction to linear algebraic groups and to give an insight into a beautiful subject that combines algebraic geometry with group theory.

Program: *Section of Mathematics*