NMAK14025U The Geometry of Numbers
MSc Programme in Statistics
MSc Programme in Mathematics-Economics
Lattices, Quadratic forms, Convex bodies, Successive minima, Minkowski's theorems, The space of lattices, Mahler's compactness theorem, Siegel's mean value formula, Packings and coverings, The Minkowski-Hlawka theorem, Gauss circle problem and its generalizations, The Epstein zeta function.
Knowledge: After completing the course the
student is expected to have a thorough knowledge of definitions,
theorems and examples related to the topics mentioned in the
description of the course content.
Skills: At the end of the course the student
is expected to have the ability to use the acquired knowledge to
follow arguments and proofs of advanced level as well as to solve
relevant problems.
Competences: At the end of the course the
student is expected to be able to
1. reproduce key results presented in the course together with
detailed proofs thereof,
2. construct proofs of results in the geometry of numbers at the
level of this course,
3. use the course content to study relevant examples and to solve
concrete problems.
- Category
- Hours
- Exam
- 40
- Lectures
- 36
- Preparation
- 112
- Theory exercises
- 18
- Total
- 206
As
an exchange, guest and credit student - click here!
Continuing Education - click here!
- Credit
- 7,5 ECTS
- Type of assessment
- Continuous assessment4 mandatory homework assignments to be returned in weeks 3,5,7 and 9 of
the course. No second hand-in allowed. At least one assignment will be
assessed in part by an individual oral presentation. - Aid
- All aids allowed
- Marking scale
- 7-point grading scale
- Censorship form
- No external censorship
One internal examiner.
- Re-exam
- Oral examination (30 minutes).
Criteria for exam assesment
The student must in a satisfactory way demonstrate that he/she has mastered the learning outcome of the course.
Course information
- Language
- English
- Course code
- NMAK14025U
- Credit
- 7,5 ECTS
- Level
- Full Degree Master
- Duration
- 1 block
9 weeks
- Placement
- Block 3
- Schedule
- A (Tues 8-12 + Thurs 8-17)
- Course capacity
- No limit
- Continuing and further education
- Study board
- Study Board of Mathematics and Computer Science
Contracting department
- Department of Mathematical Sciences
Course responsibles
- Carl Anders Södergren (9-757166677469746770426f63766a306d7730666d)
Lecturers
Carl Anders Södergren