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.

Question: Did Lehrer ever join the military?
Self-contained rewrite: Did Tom Lehrer ever join the military?