Programme structure
The programme option Mathematics has specializations in different mathematical research areas; Algebra/Algebraic geometry, Geometry/Topology, Several complex variables and Operator algebras.
Courses
Each specialization has its recommended courses and course combinations, but there is always room for setting up other course combinations. The different courses within a specialization are largely based on each other, so it may be advisable to take more basic courses in the first semester. See the individual specialization for example of a course of study. Selection of courses is done in consultion with your supervisor, please see list of courses.
Mandatory course in the first semester:
- MAT4500 – Topology. If you have taken MAT3500 – Topology before, you are exempted from this requirement.
Other relevant courses in the first semester:
- MAT4200 – Commutative Algebra
- MAT4510 – Geometric Structures
- MAT4800 – Complex Analysis
- MAT4410 – Advanced Linear Analysis
Specialization Algebra/Algebraic geometry
Example of course of study with support in Algebraic topology and with long Master's thesis.
| 4. semester | Master's thesis | Master's thesis | Master's thesis |
|---|---|---|---|
| 3. semester | Master's thesis | Master's thesis | Master's thesis |
| 2. semester | MAT4210 – Algebraic Geometry I | MAT4215 – Algebraic Geometry II | MAT4530 – Algebraic Topology I |
| 1. semester | MAT4500 – Topology | MAT4200 – Commutative Algebra | MAT4510 – Geometric Structures |
| 10 ECTS credits | 10 ECTS credits | 10 ECTS credits |
Specialization Several complex variables
Example of course of study with an additional interest in geometry/topology and with long Master's thesis.
| 4. semester | Master's thesis | Master's thesis | Master's thesis |
|---|---|---|---|
| 3. semester | Master's thesis | Master's thesis | Master's thesis |
| 2. semester | MAT4520 – Manifolds | MAT4810 – Introduction to Several Complex Variables | MAT4400 – Linear Analysis with Applications |
| 1. semester | MAT4500 – Topology | MAT4800 – Complex Analysis | MAT4510 – Geometric Structures |
| 10 ECTS credits | 10 ECTS credits | 10 ECTS credits |
Specialization Geometry/Topology
Example of course of study with support in complex analysis and with long Master's thesis.
| 4. semester | Master's thesis | Master's thesis | Master's thesis |
|---|---|---|---|
| 3. semester | Master's thesis | Master's thesis | MAT4540 – Algebraic Topology II |
| 2. semester | Master's thesis | MAT4520 – Manifolds | MAT4530 – Algebraic Topology I |
| 1. semester | MAT4500 – Topology | MAT4510 – Geometric Structures | MAT4800 – Complex Analysis |
| 10 ECTS credits | 10 ECTS credits | 10 ECTS credits |
Specialization Operator algebraer
For this specialization, it will be beneficial to have taken the course MAT3400 - Linear analysis with applications before starting the Master's programme.
Example of course of study with short Master's thesis.
| 4. semester | Master's thesis | Master's thesis | Master's thesis |
|---|---|---|---|
| 3. semester | MAT4460 – C*-algebras | Elective course | Elective course |
| 2. semester | MAT4450 – Advanced Functional Analysis | MAT4520 – Manifolds | Elective course |
| 1. semester | MAT4410 – Advanced Linear Analysis | MAT4500 – Topology | Elective course |
| 10 ECTS credits | 10 ECTS credits | 10 ECTS credits |