NMAK23000U Advanced Number Theory
MSc Programme in Mathematics
MSc Programme in Mathematics with a minor subject
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.
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.
Academic qualifications equivalent to a BSc degree are recommended.
- Theory exercises
- 7,5 ECTS
- Type of assessment
- Oral examination, 30 min
- Type of assessment details
- 30 minutes oral exam without preparation.
- Exam registration requirements
To be able to attend the exam, the student must prepare and give at least one 30min talk during the course. The subject of the talk will be determined by the course responsible(s).
- Without aids
- Marking scale
- 7-point grading scale
- Censorship form
- No external censorship
One internal examiner
30 minutes oral exam without preparation. If no 30 min talk during the course was given, such a talk needs to be prepared and given no later than a week before the re-exam.
Criteria for exam assesment
The student should convincingly and accurately demonstrate the knowledge, skills and competences described under Intended learning outcome.
- Course code
- 7,5 ECTS
- Full Degree Master
- 1 block
- Block 1
- Course capacity
- 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 (7-6872637c776d6b426f63766a306d7730666d)
- Jasmin Matz (4-7266797f457266796d33707a336970)
- Keshav Aggarwal (4-706a666c457266796d33707a336970)