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Is it possible to pursue a career in mathematics only working within a small subset of the subject?

This is a bit of a meta question I guess but I was wondering to what extent does a career mathematician need to use multiple areas of math in their profession?

Example, is it possible to exclusively work in analysis or have most of the analytic tools been exhausted and everything is moving to a more algebra feel?

As a background to the question, I am exiting undergrad and trying to decide what to do, I learned I like analysis but I have a hard time caring about the other topics and I loathe algebra. I'm trying to decide if career wise if I should continue.