In a Bachelor's or Master's thesis, one should work on a mathematical problem independently. The topic can be roughly adapted to one’s existing prior knowledge. A familiarization period of a few months for the given problem is then the rule (see also general conditions). The task often consists of illuminating certain aspects of existing theories and underpinning them with interesting examples. The questions are chosen from the described field of work and serve to further develop these theories. It is therefore also conceivable that such a thesis will provide a new theorem that can be of great importance for mathematics. However, this possibility is not mandatory for a valid thesis.

General conditions

As an introduction, regular course lectures and seminars on topology, differential topology, differential geometry and geometry are offered for students from the 3rd semester onwards. If you decide to do a Bachelor's/Master's thesis in the field of topology, you should have previous knowledge of advanced courses such as algebraic topology, homotopy theory or K-theory. These courses also take place at regular intervals. Furthermore, it is expected that the final thesis is completed in a timely manner and with the necessary commitment. Intensive supervision is helpful for this, for which all members of the Topology Department are always available as contact persons.