NMAK17009U Cancelled Topics in Algebra and Number Theory

Volume 2020/2021

MSc Programme in Mathematics


We will cover various topics in contemporary Algebra and Number Theory, such as Arithmetic Geometry, special functions, explicit methods, rational points, moduli problems in arithmetic, with the precise content depending on the modern questions asked in these fields.

Learning Outcome

Knowledge: To display knowledge of the course topics and content, at the level of a beginning researcher.

Skills: To be able to use the acquired knowledge to obtain proofs.

Competences: To be able to produce independent proofs in extension of
the acquired knowledge.

See Absalon for a list of course literature.

This course definitely fits in the circle of ideas presented in these other courses: Algebra 3, Algebraic Number Theory, Analytic Number Theory, Algebraic Geometry, Elliptic curves.
Algebra 3 and Algebraic Number Theory are highly recommended.

Academic qualifications equivalent to a BSc degree is recommended.
4 hours of lectures.
Lectures will be given by the professor and some talks will be prepared and given by the students.
  • Category
  • Hours
  • Lectures
  • 28
  • Preparation
  • 177
  • Exercises
  • 14
  • Exam
  • 1
  • Total
  • 220
Continuous feedback during the course of the semester
7,5 ECTS
Type of assessment
Oral examination, 30 min under invigilation
The exam will be a 30 minutes oral exam with 30 minutes of preparation time.
All aids allowed
Marking scale
7-point grading scale
Censorship form
No external censorship
One internal examiner.

30 minutes oral exam without preparation time and without aids.

Criteria for exam assesment

In order to obtain the grade 12 the student should convincingly and accurately demonstrate the knowledge, skills and competences described under Learning Outcome.