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Pure Mathematics (core track) and Mathematics of Computer Science (synergy track)

This 120 EC research specialisation is built up as follows:

A. Track electives 30 EC
B. Mathematical electives 18 EC
C. Master electives 15 EC
D. Master Thesis Project Mathematics 40 EC
E. Master Seminar 6 EC
F. Professional Preparation 2 EC
G. Philosophy 3 EC
H. Free electives 6 EC

Overall, a maximum of 12 ec of third year bachelor's courses in Mathematics is allowed, to be approved by the examination board.

A. Track electives (30 EC)

For the core track Pure Mathematics choose at least 30 EC from the list of track electives below. You have to choose courses from different rows. If you are interested in more than one course per row, you can always choose them as elective courses. Note that some of the courses are taught biennially.

Course information and schedules for the Mastermath courses may be found on the Mastermath website.

Tabel 1: Track electives Pure Mathematics

1. NWI-WM150 Category Theory and Homological Algebra (6 EC), semester 2
NWI-WM144 Calculus of Variations (6 EC)*
2. Mastermath: Differential Geometry (8 EC)
Mastermath: Algebraic Geometry 1 (8 EC)
3. Mastermath: Lie Groups (8 EC)
Mastermath: Lie Algebras (8 EC)
4. NWI-WM094B Algebraic Topology 1 (6 EC)*
Mastermath: Algebraic Topology 1 (8 EC)
Mastermath: Partial Differential Equations (8 EC)
5. Mastermath: Riemann Surfaces (8 EC)
Mastermath: Elliptic Curves (8 EC)
NWI-WM255 Probabilistic Combinatorics (6 EC), semester 2
6. Mastermath: Operator Algebras (8 EC)
Mastermath: Computability Theory (8 EC)
NWI-WM120C Computability Theory (6 EC)*
7. Mastermath: Algebraic Number Theory (8 EC)
NWI-WM139 Analytic Methods in Number Theory (6 EC), semester 1

* not taught in 2021/2022

For the synergy track Mathematics of Computer Science the course NWI-WM069B Computer Algebra (6 EC) is mandatory and you need to choose two courses from two different rows from Table 1. In addition, you have to choose 12 EC out of the list of mandatory electives:

  • NWI-IMC010 Type Theory and Coq (6 EC)
  • NWI-IMC011 Semantics and Domain Theory (6 EC)
  • NWI-IMC036 Category Theory and Coalgebra (6 EC)
  • NWI-WM158 Experimental Mathematics (6 EC)
  • NWI-IMC009 Automated Reasoning (6 EC)

B. Mathematical electives (18 EC)

Mathematical electives are courses within the field of Mathematics on Master's level. The mathematical electives need to be approved by the Examination Board.

C. Master electives (15 EC)

Master electives are courses in any field within or outside of Mathematics. You can also consider courses from the societal specialisations. These electives need to be approved by the Examination Board.

D. Master Thesis Project Mathematics (40 EC)

Including a literature study, a thesis (which can be an internship report) and a graduation defense.

E. NWI-WM115C Master seminar (6 EC)

The Master seminar should be taken in the first year of the master's programme.
For students in the synergy track Mathematics of Computer Science, this course can be replaced by NWI-WM115B Master Seminar (3 EC) & NWI-IMC049 MFoCS Seminar (3 EC).

F. NWI-WM301 Professional Preparation for Math (2 EC)

G. Philosophy (3 EC)

One of the following courses should be completed:

H. Free electives (6 EC)

Free electives are any courses, not necessarily within the field of Mathematics.