Modulets indhold, forløb og pædagogik

Læringsmål

Viden

• affine and projective algebraic geometry
• algebraic function field theory
• Gröbner basis theory over rings and modules
• ideals and varieties
• combinatorial commutative algebra

Færdigheder

• are able to prove central results from the theory of algebraic geometry and commutative algebra
• are able to employ advanced and abstract algebraic and algebraic geometric concepts and constructions
• can conduct advanced calculations within one or more of the above mentioned areas 

Kompetencer

• are able to apply central results from abstract algebra in the investigation of algebraic and algebraic geometric structures
• are able to communicate the acquired knowledge and skills to a concrete audience
• can reason at a concrete as well as at an abstract level concerning algebraic and algebraic geometric structures

Undervisningsform

Forelæsninger med tilhørende opgaveregning.

Omfang og forventet arbejdsindsats

Kursusmodulets omfang er 5 ECTS svarende til 150 timers studieindsats.

Eksamen

Prøver