I'm currently doing a master in mathematics, and will start my master thesis in a couple of month. My university provides a list of (suggested) topics. I'm finding it difficult to choose though, since these are my criteria the topic must satisfy:
- I must find it interesting/enjoyable.
- It must be something relevant/new. This is because I intend on doing a PhD after my masters, and I think it would increase my chances of getting into a good program if my thesis topic is about an area that is still actively being worked on.
These are basically the only two things I care about. However, I do not feel like I'm in a position to determine if a given topic satisfies either of those criteria.
Most of the topics require a lot of reading before I can understand what they are about, so I don't know yet if I would enjoy it because at the moment I don't understand the topic. Even more problematic is the second point, since I have absolutely no idea which topics are currently considered 'hip' or however one would call that.
So I'm asking what the best way to go about this would be? I realise there might not be a clear cut answer, but I'm looking for some suggestions on what to do here.