If you would like to write a Bachelor's or Master's thesis with me, then please write me an e-mail and we will start discussing. In this case it would be valuable for me to know which courses you have already attended, which courses you plan to take in the coming semester say, what your mathematical interests so far are and anything else that I should know and would be relevant in finding a topic. Normally, after first discussions about what your goals are and what your background is, we will then have a first meeting to discuss potential topics. If you already have something concrete in mind, that you would like to look at, then please let me know (though this is certainly not necessary, I'm very happy to suggest topics).

Courses which would be ideal to take before starting a Bachelor thesis under my supervision: algebra and number theory, as well as a seminar in this direction

Courses which would be ideal to take before starting a Master thesis under my supervision: 2 parts of a cycle and a seminar in the area of analytic number theory, number theory, diophantine geometry

Here are a couple of examples of thesis that I supervised in the past

Bachelor thesis:

- A polynomial random walk in finite fields

- Werteverteilung multiplikativer Funktionen in Restklassen

- Gegenbeispiele zum Hasse Prinzip
- Progression-free subsets and the polynomial method
- Prime generators
- The cap set problem

Master thesis:

- Systems of Diophantine equations in many variables
- Two problems related to the circle method
- On Runge’s method
- Sieving and systems of quadratic equations
- Diophantine inequalities
- Prime lattice points in ovals
- Linear equations in dense sets of Sidon sets