Advanced Number Theory
The goal of this course is to discuss some contemporary topics in number theory, such as automorphic forms and representations and their L-functions which constitute a very active area of research in modern number theory. Their theory generalizes and provides a common framework for classical number theoretic objects such as holomorphic and analytic modular forms, Dirichlet characters and their L-functions. Some connections to arithmetic geometry, spectral theory, or ergodic theory might also be discussed. A good background in analytic or algebraic number theory is recommended.
MSc Programme in Mathematics
MSc Programme in Mathematics with a minor subject
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.
4 hours of lectures and 2 hours of exercises per week.
See Absalon for a list of course literature.
At least one of the courses Analytic Number Theory or Algebraic
Academic qualifications equivalent to a BSc degree are recommended.
- 7,5 ECTS
- Type of assessment
Oral examination, 30 min
- Type of assessment details
- 30 minutes oral exam without preparation.
- Without aids
- Marking scale
- 7-point grading scale
- Censorship form
- No external censorship
One internal examiner
Criteria for exam assessment
The student should convincingly and accurately demonstrate the knowledge, skills and competences described under Intended learning outcome.
Single subject courses (day)
- Theory exercises
- Course number
- 7,5 ECTS
- Programme level
- Full Degree Master
- Block 1
- No limit.
The number of seats may be reduced in the late registration period.
- Study Board of Mathematics and Computer Science
- Department of Mathematical Sciences
- Faculty of Science
- Fabien Pazuki (7-6d7768817c72704774687b6f35727c356b72)
- Jasmin Matz (4-7165787e447165786c326f7932686f)
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Courseinformation of students