Conversation so far:
what happened in 2001 for The Smashing Pumpkins?
In 2001 the compilation Rotten Apples was released.
what did Billy Corgan of The Smashing Pumpkins do in chicago?
Billy Corgan and Jimmy Chamberlin reunited in 2001 as members of Corgan's next project, the short-lived supergroup Zwan.

Question: what songs did they write?
Self-contained rewrite: what songs did Billy Corgan and Jimmy Chamberlin write as members the supergroup Zwan?