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Emerton
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In representation theory, one oftens sees long lists of adjectives: "If $V$ is an irreducible, admissible, smooth representation, then ... ".

In the theory of group schemes, similarly long lists can appear: "If $G$ is a reduced commutative finite flat group scheme then ... " or "If $G$ is a connected commutative finite flat group scheme then ...". (Here "group scheme" is one term --- it is the basic object --- but the other three adjectives are applied independently, although "finite" and "flat" come together so often that maybe you can argue they should be treated as a single property.)

In the theory of automorphic forms and Galois representations one has "If $\pi$ is a regular, algebraic, essentially conjugate self-dual, cuspidal automorphic representation, then ...". (In this case people introduced the pleasing acronym RAECSDC in order to simplify statements.)

None of these examples are from undergraduate mathematics, of course, and ideed they are taken from areas with some reputation for technical complexity. The examples of modularity theorems that Kevin mentions in his comment above are from the same field as my RAECSDC example. I think that the long lists of adjectives in the statements of results from these fields is certainly related to their reputation for being technical.

Emerton
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