Conversation so far:
Where did Tom Lehrer go to school?
Tom Lehrer was considered a child prodigy and entered Harvard College at the age of 15 after graduating from Loomis Chaffee School.
Did Tom Lehrer go to graduate school?
Tom Lehrer attended graduate school for mathematics at Harvard University.
Did Tom Lehrer ever join the military?
Tom Lehrer was drafted into the U.S. Army from 1955 to 1957, working at the NSA.
What was Tom Lehrer's rank in the military?
Tom Lehrer served as an enlisted soldier, achieving the rank of Specialist Third Class.
When did Tom Lehrer finish his military career?
Tom Lehrer was  drafted into the U.S. Army from 1955 to 1957.
What did Tom Lehrer do after the military?
In 1960, Tom Lehrer returned to full-time studies at Harvard University.
What did Tom Lehrer study at Harvard University?
Tom Lehrer was a mathematics student, who base his mathematical dissertation about the subject of modes in statistics.
What did Tom Lehrer do after he finished at Harvard?
Tom Lehrer taught classes at MIT, Harvard, Wellesley, and the University of California, Santa Cruz.

Question: Did he ever teach at Harvard?
Self-contained rewrite: Did Tom Lehrer ever teach at Harvard?