For example, learn K-theory:
Chat with our AI personalities
There are no easy ways
Algebra II contains some Geometry concepts that could be taught inside of Algebra II if necessary, but it is easier to take Geometry first in order to fully understand these concepts.
Very much so in certain aspects of geometry.
It depends on how well you understand things and if your good at remembering postulates/theorems and all those sorts of things
Karen Smith works in algebra and algebraic geometry. Some of her main contributions involve finding purely algebraic ways to understand geometric objects, such as singularities in algebraic geometry. This is significant because, for example, even a computer can manipulate algebraic equations but it can not understand a drawing as well. I can answer more if you describe how much mathematics you have taken.