Next year I am going to do a masters in mathematical logic and it requires you to do some courses in another field of pure mathematics. I am trying to decide between algebraic topology and algebraic geometry.
Some context: I know nothing of algebraic geometry (I just read the wikipedia page), and have taken some courses in topology, but my knowledge is limited to point set topology and the fundamental group. I have heard that some category and topos theory used in geometry and topology have applications in logic, so I am obviously interested in that.
What do you think is most suitable and can you name a few application of both disciplines in logic?