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forcing, large cardinals, descriptive set theory, infinite combinatorics, cardinal characteristics, forcing axioms, ultrapowers, measures, reflection, pcf theory, models of set theory, axioms of set theory, independence, axiom of choice, continuum hypothesis, determinacy, Borel equivalence relations, Boolean-valued models, embeddings, orders, relations, transfinite recursion, set theory as a foundation of mathematics, the philosophy of set theory.
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Pressure to defend the relevance of one's area of mathematics
Just point at our current high-technological society and say:
None of this would be possible without extensive work on mathematics.
And at that point in time they had no idea just exactly which bra …