Conversation so far:
what happened to the smashing pumpkins in 2001?
After the breakup of his gothic rock band the Marked, singer and guitarist Billy Corgan left St.
Petersburg, Florida, to return to his native city of Chicago.
what did he do in chicago?
While working there, he met guitarist James Iha.
Adorning themselves with paisley and other psychedelic trappings, the two began writing songs together.

Question: what songs did they write?
Self-contained rewrite: what songs did The Smashing Pumpkins write?