Collocations for supervisor - noun

senior
direct, immediate (both esp. AmE)
area
office
shift
account (esp. AmE), election(s), project
maintenance, production
music, technical
effects
a special effects supervisor
a visual effects supervisor

door (BrE)
a nightclub door supervisor

lunchtime (BrE)
She is a lunchtime supervisor at the local school.

city, county (both AmE)

act as

under a/the supervisor
the people working under that supervisor