Conversation so far:
What is significant about Allan Bloom's career?
Alan Bloom studied and taught in Paris at the École Normale Supérieure, and Germany. returning to the United States in 1955.
What did Allan Bloom do after returning to the United States in 1955?
Alan Bloom taught adult education students at the University of Chicago with his friend Werner J. Dannhauser, author of Nietzsche's View of Socrates.

Question: What did he do after this?
Self-contained rewrite: What did Allan Bloom do after he taught adult education students at the University of Chicago?