Are you a current student? For the programme of this academic year, check the course guide.

Pure Mathematics

Pure Mathematics is primarily concerned with questions that originate from inside mathematics and is often viewed as the field of most abstract mathematical thinking. We offer courses with a strong connection to modern research developments. This track covers a very broad range of core areas including algebra, analysis, geometry, topology, number theory, and logic. 

About this study curriculum

You can choose from a range of courses in:

  • Algebra and Number Theory: e.g., Analytical Methods in Number Theory, Category Theory and Homological Algebra, Lie Algebras
  • Analysis: e.g., Calculus of Variations, Lie Groups, Operator Algebras
  • Geometry and Topology: e.g., Algebraic Topology, Differential Geometry, Non-commutative Geometry, Riemann Surfaces
  • Logic and Computability: e.g., Complexity Theory, Computer Algebra, Model Theory, Probabilistic Combinatorics

Course guide

This course overview is an indication of the study programme of the academic year 2024-2025. Are you a current student, please consult the online course guide for your course overview.

COURSE GUIDE

Total EC
120 EC
Compulsory courses
P1
P2
P3
P4
  1. P1
  2. P2
  3. P3
  4. P4
Philosophy course
3 EC
  1. P1
  2. P2
  3. P3
  4. P4

For your philosophy course, you can choose one from this list of science philosophy electives.

Elective courses
P1
P2
P3
P4

1:

Total number EC: 8 EC
Mastermath: Calculus of Variations
8 EC
  1. P1
  2. P2

2:

Total number EC: 8 EC
Mastermath: Differential Geometry
8 EC
  1. P1
  2. P2
Mastermath: Algebraic Geometry 1
8 EC
  1. P1
  2. P2

3:

Total number EC: 8 EC
Mastermath: Lie Groups
8 EC
  1. P1
  2. P2
Mastermath: Lie Algebras
8 EC
  1. P3
  2. P4

4:

Total number EC: 8 EC
Mastermath: Algebraic Topology 1
8 EC
  1. P1
  2. P2
  1. P1
  2. P2
Mastermath: Complexity Theory
8 EC
  1. P1
  2. P2

5:

Total number EC: 6 EC
Mastermath: Riemann Surfaces
8 EC
  1. P3
  2. P4
Mastermath: Elliptic Curves
8 EC
  1. P3
  2. P4

6:

Total number EC: 8 EC
Mastermath: Operator Algebras
8 EC
  1. P3
  2. P4
Computability Theory
8 EC
  1. P1
  2. P2

7:

Total number EC: 8 EC
Mastermath: Algebraic Number Theory
8 EC
  1. P1
  2. P2

You need to choose courses from different 'categories', indicated with a number. If you are interested in more than one course per category, you can always choose them as elective courses. Some of the courses are taught biennially.

The full Mastermath course schedule can be found on the Mastermath's website.

Free electives
P1
P2
P3
P4
Mathematical electives
14 EC
  1. P1
  2. P2
  3. P3
  4. P4
Master electives
12 EC
  1. P1
  2. P2
  3. P3
  4. P4
Free electives
6 EC
  1. P1
  2. P2
  3. P3
  4. P4

Besides your track electives, you need to choose up to 32 EC of other electives:

  • 14 EC should be Mathematical courses at Master level
  • 12 EC can be from any field within or outside of Mathematics at Master level
  •  6 EC can be any course at university level
Thesis & research
P1
P2
P3
P4