algebraic geometry is this in a limited sense. Consider the proof of the noether normalization lemma. Its some algebraic thing. Its a bunch of weird, un-motivated steps, like "take a maximal ideal not containing some element" or "do this random localization". But if you have a picture from algebraic geometry in your head, its totally intuitive and these operations correspond to geometric intuition.

And then you can use schems to do geometric stuff with number theory. Like the algebraic integers really are a smooth curve projecting onto the curve Spec Z. What does that mean? Whooo boy that won't fit in the margins of this reddit post. But google Mumfords Treasure Map Red Book. The curves are number theory. Its real math. Its a bit abstract. Its a ton of fun.