"Analysis" is the most chad name for a field of study. Straight up claiming an entire abstract noun as belonging to mathematics. Right up there with "theory".
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The most virgin name is "algebra", just inviting every single person to say "Oh, you got a PhD in algebra? You mean like what I did in sixth grade?"
Some extreme virgins are calling it "abstract algebra" oh sure, unlike the very concrete algebra everyone else is doing 
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Don Knuth apparently thinks he is doing very concrete algebra!
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Just say you study Galois theory.
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