The soundtrack "Stigmata" features music composed and performed by Billy Corgan and Mike Garson.

"We did the Adore tour, and we got pretty friendly. His approach is so unconventional. You can throw the weirdest sh*t at him, and he'll do something pretty over it. He's a virtuoso. I really heard piano when I saw the footage, but my piano playing is pretty sh*tty. He ended up writing some of the themes." - Billy on working with Mike on Stigmata.

Here are the songs which feature piano or keyboard.

Await
Identify (Affection)
Identify (Peace)
Reflect (Devotion)
Reflect (Pause)
Reflect (Purity)
Reflect (Pretty)
Reflect (Time)
Tree Whispers
thanks to Audra Cornelius for the information.