The Namesake by Jhumpa Lahiri - Another great novel that I read for class. Deals with cultural identity as an Indian family tries to assimilate into American culture. Beautiful story telling by Ms. Lahiri. You should definitely add it to your "must read" list.
17 Books That Perfectly Capture The Immigrant Experience
The Namesake follows the Ganguli family through its journey from Calcutta to Cambridge to the Boston suburbs. When their son is born, the task of naming him betrays the vexed results of bringing old ways to the new world. Named for a Russian writer by his Indian parents in memory of a catastrophe years before, Gogol Ganguli knows only that he suffers the burden of his heritage as well as his odd, antic name.