Is it even possible to get a general idea of different fields in geometry before I choose a branch to focus upon, and if so, can someone give me a suggestion for topics that I must read before I settle on some? (Sorry if this question sounds too broad for this site.)
Details: For context, I am a final year undergraduate student who seems to be interested in Geometry and Topology (especially, the branches like Differential Geometry rather than Algebraic Geometry.) I had always found geometry really interesting and thus during my undergraduate years I took courses and also tried to read about different fields in it. The courses included the ones like Manifolds and Algebraic Geometry. After spenting quite some time on them (during which I covered, the book An Introduction to Manifolds by Loring Tu and the first chapter of Hartshorne.) I seemed to find Manifolds more to my taste rather than Algebraic Geometry one which I found to have, I am sorry to say, no intuition at all, and not at all according to my taste. I also learned a bit of Algebraic topology with topics like Homotopy, Simplicial complexes, Homology etc. Nowadays, I am trying to read about Riemannian Geometry.
Nowadays, I am afraid that even though I love the topics I usually read, and wants to read more about them, it might not even be possible for me to even get a proper glimpse of what is there in all of Geometry before, say, trying to settle on a topic for research (if all goes well, I want to start the PhD within two years), which is what my eventual aim is.
So basically, is there a list of topics that I could go through before I choose something?