At my University, we have the optional feature to write a project like a Bachelor Thesis. This semester have finished and I would like to work in the summer in project like this. So, I'm searching for a topic and I would appriciate your opinion.
More specifically, I would like to work on a topic relative with Number Theory (like Diophantine Equations etc) or secondarily with Abstract Algebra.
Question. Could you suggest me some topics accompanied by the corresponding bibliography?
PS 1: I should inform you that I have been taught Elementary Number Theory, Abstract Algebra (Group & Ring Theory) and some Galois Theory (all in an undergraduate level, please let me know if you want more information about this).
PS 2: I hope this post is not off topic. Otherwise inform me and I will delete it.
Thank you in advance.