Indian state home to unknown artist (4)
I believe the answer is:
goya
'artist' is the definition.
(Francisco Goya)
'indian state home to unknown' is the wordplay.
'indian state' becomes 'goa' (Goa is a state of India).
'home to' indicates putting letters inside (some letters house or home others).
'unknown' becomes 'y' (algebra).
'goa' placed around 'y' is 'GOYA'.
(Other definitions for goya that I've seen before include "Old master" , "Portrait painter" , "Great Spanish painter who depicted horrors of war" , "Eighteenth and nineteenth century Spanish painter" , "Eighteenth to nineteenth century Spanish artist" .)