[nh23423fefe]

Every time I try to understand algebraic geometry I get stuck at just beyond varieties and ideals. I can't even work my way up to chain complexes and homologies to even get a hold on the content. Honestly functors and natural transformations, I dont grok either, so its greek to me.

Like whenever i'm working through definitions or content it all makes sense. But not being a working mathematician it all just blurs away into abstract nonsense that I can't organize internally.

[johncarlosbaez]

You need to go more slowly and do lots of examples. Maybe start with

* Karen E. Smith, Lauri Kahanpää, Pekka Kekäläinen and William Traves, An Invitation to Algebraic Geometry, Springer, Berlin, 2004.

and then this:

* Igor R. Shafarevich, Basic Algebraic Geometry, two volumes, third edition, Springer, 2013.

[orangea]

Learning homological algebra is a long way away from learning about varieties and ideals in any sensible order in which to learn material. You have to do a lot of work in between in order for homological algebra to seem motivated. Sounds like you ought to try an introduction to algebraic topology.