Conversation so far:
Did Dimitri Tiomkin win any awards for High Noon?
The film received seven Academy Award nominations and won four awards, including two for Dimitri Tiomkin: Best Original Music and Best Song.
Who directed the film High Noon?
Fred Zinnemann.
What was the name of the song Dimitri Tiomkin won the Best Song award for?
The Ballad of High Noon.

Question: did he work with that director again?
Self-contained rewrite: Did Dimitri Tiomkin work with Fred Zinneman again after High Noon?