Question: Who is the guitarist for the band who released the album "American Idiot?"

Context paragraphs:
American Idiot (musical): American Idiot is a sung-through stage adaptation of punk rock band Green Day's rock opera "American Idiot".  After a run at the Berkeley Repertory Theatre in 2009, the show moved to the St. James Theatre on Broadway.  Previews began on March 24, 2010, and the play officially opened on April 20, 2010.  The show closed on April 24, 2011, after 422 performances.  While Green Day did not appear in the production, vocalist/guitarist Billie Joe Armstrong performed the role of "St. Jimmy" occasionally throughout the run.

American Idiot (song): "American Idiot" is a song by the American punk rock band Green Day.  It is the title track from the album "American Idiot" (2004) and released as the first single from it.  The song received positive reviews by critics and was nominated for four 2005 Grammy Awards: Record of the Year, Best Rock Performance by a Duo or Group with Vocal, Best Rock Song, and Best Music Video.  It is considered as one of the band's signature songs.

Jesus of Suburbia: "Jesus of Suburbia" is a song by American punk rock band Green Day.  It was released as the fifth and final single from the group's seventh studio album, "American Idiot", and the second song on the album.  With the song running for 9 minutes and 9 seconds, it is Green Day's second longest song (with the band's longest song being fellow "American Idiot" song "Homecoming", which runs for 9 minutes and 19 seconds) and the group's longest song to be released as a single.  The studio version of the song, a five movement piece, runs just over 9 minutes and was considered to be unfriendly for radio, so it was cut down to 6½ minutes for the radio edit.  The long version was still played on many album rock and alternative rock radio stations.  At most live shows on the first leg of the group's 21st Century Breakdown World Tour, the band would pick a member from the audience to play guitar for the song.  The single has sold 205,000 copies as of July 2010.

American Idiot World Tour: The American Idiot World Tour was a concert tour by American Rock band Green Day in support of the group's seventh studio album, "American Idiot", which was released in September 2004.  The tour began in Los Angeles at the Grand Olympic Auditorium on July 29, and the last show was in Australia at the Telstra Dome.  During the tour, the band played at the 2004 Reading Festival in England.

American Idiot: American Idiot is the seventh studio album by American rock band Green Day.  Produced by Rob Cavallo, the album was released in the UK on September 20, 2004 and in the US on September 21, 2004 by Reprise Records.  Green Day first achieved popularity in the 1990s with a string of successful albums.  Following disappointing sales of their sixth album, "Warning" (2000), the band took a break before recording their next album, titled "Cigarettes and Valentines."  The recording process was cut short when the album's master tapes were stolen.  Rather than re-record that material, the group decided to start over.

Cigarettes and Valentines: Cigarettes and Valentines is an unreleased studio album by American punk rock band Green Day.  The album would have been the proper follow-up to 2000's "Warning".  In November 2002, the album was nearly finished when the master recordings of 20 tracks were mysteriously stolen from the studio.  The band members would eventually call the theft a "blessing in disguise."  Instead of re-recording the album, the band decided to start from scratch, leading to the creation of "American Idiot".

Billie Joe Armstrong: Billie Joe Armstrong (born February 17, 1972) is an American musician, singer, songwriter and actor who is best known as the lead vocalist, primary songwriter, and guitarist of the punk rock band Green Day, which he co-founded with Mike Dirnt.  He is also a guitarist and vocalist for the punk rock band Pinhead Gunpowder and provides lead vocals for Green Day's side projects Foxboro Hot Tubs and The Network.

Boulevard of Broken Dreams (Green Day song): "Boulevard of Broken Dreams" is a song by American punk rock band Green Day, recorded for their seventh studio album "American Idiot" (2004).  Reprise Records released "Boulevard of Broken Dreams" as the second single from "American Idiot".  The song's lyrics were written by lead singer Billie Joe Armstrong, and composed by the band.  Production was handled by Rob Cavallo and Green Day.  "Boulevard of Broken Dreams" remains one of Green Day's signature songs.

Wake Me Up When September Ends: "Wake Me Up When September Ends" is a song by American rock band Green Day, released on June 13, 2005, as the fourth single from the group's seventh studio album, "American Idiot" (2004).  The song was written by frontman Billie Joe Armstrong regarding the death of his father.

21st Century Breakdown: 21st Century Breakdown is the eighth studio album by American punk rock band Green Day.  It is the band's second rock opera, following "American Idiot" (2004), and their first album to be produced by Butch Vig.  Green Day commenced work on the record in January 2006 and forty-five songs were written by vocalist/guitarist Billie Joe Armstrong by October 2007, but the band members did not enter studio work until January 2008.

Supporting paragraphs: Wake Me Up When September Ends Billie Joe Armstrong
Answer: Billie Joe Armstrong