TASK DEFINITION: You will be given a trivia clue, and the category it belongs to. You should answer with the best answer that belongs in the category and is described by the clue. For simplicity, answers should be in all lower cased letters.
PROBLEM: Category: DAVID MAMET 
Clue: In 1976 Mamet taught at the School of Drama at this Ivy League university whose alumni include Meryl Streep

SOLUTION: yale

PROBLEM: Category: "E" BAY 
Clue: Thinking green, biologist Ernst Haeckel coined this term for the way animals interact with the environment

SOLUTION: ecology

PROBLEM: Category: 6-SYLLABLE WORDS 
Clue: Legerdemain or sleight of hand

SOLUTION:
prestidigitation