CHANGED: Topics in Algebra and Number Theory

Course content

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 interests of the participants.

Education

MSc Programme in Mathematics

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.

6 hours of lectures and 2 hours exercises for 7 weeks.

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. Nevertheless, these courses are not requirements, the course will be self-contained.

ECTS
7,5 ECTS
Type of assessment
Written examination, 3 hours under invigilation
Continuous assessment
CHANGED FOR THE STUDY YEAR 2018/19: ONE WRITTEN ASSIGNMENT DURING THE COURSE AND A FINAL ORAL EXAM (30 MINUTES PREPARATION TIME). THE WRITTEN ASSIGNMENT COUNTS FOR 20% AND THE FINAL ORAL EXAM COUNTS FOR THE REMAINING 80% OF THE GRADE. THE PART-EXAMINATIONS DO NOT NEED TO BE PASSED INDIVIDUALLY, AS LONG AS THE OVERALL GRADE IS PASSED.

Two written assigments during the course and a written examination, 3 hours under invigilation.
The two written assignments count each 20% and the final written exam counts the remaining 60% of the grade.
The part-examinations do not need to be passed individually, as long as the overall grade is passed.
Aid
All aids allowed

CHANGED FOR THE STUDY YEAR 2018/19:

CONTINUOUS ASSESSEMENT: ALL AIDS ALLOWED

ORAL EXAM: WITHOUT AIDS

Marking scale
7-point grading scale
Censorship form
No external censorship
One internal examiner.
Criteria for exam assessment

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

Single subject courses (day)

  • Category
  • Hours
  • Lectures
  • 42
  • Exercises
  • 14
  • Exam
  • 3
  • Course Preparation
  • 147
  • English
  • 206