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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:

Other relevant courses in the first semester:

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

 

Published May 23, 2017 1:00 PM - Last modified May 13, 2019 1:07 PM