Advanced Number Theory

Course content

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.

Education

MSc Programme in Mathematics
MSc Programme in Mathematics with a minor subject

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.


 

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 Number Theory.
Academic qualifications equivalent to a BSc degree are recommended.

Continuous feedback during the course of the semester
ECTS
7,5 ECTS
Type of assessment
Oral examination, 30 min
Type of assessment details
30 minutes oral exam without preparation.
Aid
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)

  • Category
  • Hours
  • Lectures
  • 32
  • Preparation
  • 157
  • Theory exercises
  • 16
  • Exam
  • 1
  • English
  • 206

Kursusinformation

Language
English
Course number
NMAK23000U
ECTS
7,5 ECTS
Programme level
Full Degree Master
Duration

1 block

Placement
Block 1
Schedulegroup
B
Capacity
No limit.
The number of seats may be reduced in the late registration period.
Studyboard
Study Board of Mathematics and Computer Science
Contracting department
  • Department of Mathematical Sciences
Contracting faculty
  • Faculty of Science
Course Coordinators
  • Fabien Pazuki   (7-6d7768817c72704774687b6f35727c356b72)
  • Jasmin Matz   (4-7165787e447165786c326f7932686f)
Saved on the 28-02-2023

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