Conversation so far:
What was Luis Walter Alvarez's earliest work?
After he completed his oral exams in 1936.
Was it successful?
A telegram soon arrived from Gladys with a job offer from Lawrence.
Did he accept?
headed for California.
What did he do when he got there?
At the Radiation Laboratory he worked with Lawrence's experimental team.
Did he marry?
Geraldine Smithwick.
Where any children born?
They had two children, Walter and Jean.

Question: Did he continue his work?
Self-contained rewrite: Did Luis Walter Alvarez continue his work?