Answer by taking a quote from the following article:

The Smashing Pumpkins (or Smashing Pumpkins) are an American alternative rock band from Chicago, Illinois. Formed in 1988 by frontman Billy Corgan (lead vocals, guitar) and James Iha (guitar), the band included D'arcy Wretzky (bass guitar) and Jimmy Chamberlin (drums) in its original incarnation. It has undergone many line-up changes over the course of its existence, with the current lineup being Corgan, Chamberlin, Iha and guitarist Jeff Schroeder. Disavowing the punk rock roots of many of their alt-rock contemporaries, they have a diverse, densely layered, and guitar-heavy sound, containing elements of gothic rock, heavy metal, dream pop, psychedelic rock,progressive rock, shoegazing, and electronica in later recordings.

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, where he took a job in a record store and formed the idea of a new band to be called the Smashing Pumpkins. While working there, he met guitarist James Iha. Adorning themselves with paisley and other psychedelic trappings, the two began writing songs together (with the aid of a drum machine) that were heavily influenced by The Cure and New Order. The duo performed live for the first time on July 9, 1988 at the Polish bar Chicago 21. This performance included only Corgan on bass and Iha on guitar with a drum machine. Shortly thereafter, Corgan met D'arcy Wretzky after a show by the Dan Reed Network where they argued the merits of the band. After finding out Wretzky played bass guitar, Corgan recruited her into the lineup and the now-trio played a show at the Avalon Nightclub. After this show, Cabaret Metro owner Joe Shanahan agreed to book the band on the condition that they replace the drum machine with a live drummer. Jazz drummer Jimmy Chamberlin was recommended by a friend of Corgan's. Chamberlin knew little of alternative music and immediately changed the sound of the nascent band. As Corgan recalled of the period, "We were completely into the sad-rock, Cure kind of thing. It took about two or three practices before I realized that the power in his playing was something that enabled us to rock harder than we could ever have imagined." On October 5, 1988, the complete band took the stage for the first time at the Cabaret Metro. In 1989 the Smashing Pumpkins made their first appearance on record with the compilation album Light Into Dark, which featured several Chicago alternative bands. The group released its first single, "I Am One", in 1990 on local Chicago label Limited Potential. The single sold out and they released a follow-up, "Tristessa", on Sub Pop, after which they signed to Caroline Records. The band recorded their 1991 debut studio album Gish with producer Butch Vig at his Smart Studios in Madison, Wisconsin for $20,000. In order to gain the consistency he desired, Corgan often played all instruments excluding drums, which created tension in the band. The music fused heavy metal guitars, psychedelia, and dream pop, garnering them comparisons to Jane's Addiction. Gish became a minor success, with the single "Rhinoceros" receiving some airplay on modern rock radio. After releasing the Lull EP in October 1991 on Caroline Records, the band formally signed with Virgin Records, which was affiliated with Caroline. The band supported the album with a tour that included opening for bands such as the Red Hot Chili Peppers, Jane's Addiction, and Guns N' Roses. During the tour, Iha and Wretzky went through a messy breakup, Chamberlin became addicted to narcotics and alcohol, and Corgan entered a deep depression, writing some songs for the upcoming album in the parking garage where he lived at the time. With the breakthrough of alternative rock into the American mainstream due to the popularity of grunge bands such as Nirvana and Pearl Jam, the Smashing Pumpkins were poised for major commercial success. At this time, the Smashing Pumpkins were routinely lumped in with the grunge movement, with Corgan protesting, "We've graduated now from 'the next Jane's Addiction' to 'the next Nirvana', now we're 'the next Pearl Jam'." Amid this environment of intense internal pressure for the band to break through to widespread popularity, the band relocated to Marietta, Georgia in late 1992 to begin work on their second album, with Butch Vig returning as producer. The decision to record so far away from their hometown was motivated partly by the band's desire to avoid friends and distractions during the recording, but largely as a desperate attempt to cut Chamberlin off from his known drug connections. The recording environment for Siamese Dream was quickly marred by discord within the band. As was the case with Gish, Corgan and Vig decided that Corgan should play nearly all of the guitar and bass parts on the album, contributing to an air of resentment. The contemporary music press began to portray Corgan as a tyrant. Corgan's depression, meanwhile, had deepened to the point where he contemplated suicide, and he compensated by practically living in the studio. Meanwhile, Chamberlin quickly managed to find new connections and was often absent without any contact for days at a time. In all, it took over four months to complete the record, with the budget exceeding $250,000. Despite all the problems in its recording, Siamese Dream debuted at number ten on the Billboard 200 chart, and sold over four million copies in the U.S. alone. Alongside the band's mounting mainstream recognition, the band's reputation as careerists among their former peers in the independent music community was worsened. Indie rock band Pavement's 1994 song "Range Life" directly mocks the band in its lyrics, although Stephen Malkmus, lead singer of Pavement, has stated, "I never dissed their music. I just dissed their status." Former Husker Du frontman Bob Mould called them "the grunge Monkees", and fellow Chicago musician/producer Steve Albini wrote a scathing letter in response to an article praising the band, derisively comparing them to REO Speedwagon ("by, of and for the mainstream") and concluding their ultimate insignificance. The opening track and lead single of Siamese Dream, "Cherub Rock", directly addresses Corgan's feud with the "indie-world". In 1994 Virgin released the B-sides/rarities compilation Pisces Iscariot which charted higher than Siamese Dream by reaching number four on the Billboard 200. Also released was a VHS cassette titled Vieuphoria featuring a mix of live performances and behind-the-scenes footage. Following relentless touring to support the recordings, including headline slots on the 1994 Lollapalooza tour and at Reading Festival in 1995, the band took time off to write the follow-up album. In 2001 the compilation Rotten Apples was released. The double-disc version of the album, released as a limited edition, included a collection of B-sides and rarities called Judas O. The Greatest Hits Video Collection DVD was also released at the same time. This was a compilation of all of the Pumpkins promo videos from Gish to Machina along with unreleased material. Vieuphoria was released on DVD in 2002, as was the soundtrack album Earphoria, previously released solely to radio stations in 1994. Billy Corgan and Jimmy Chamberlin reunited in 2001 as members of Corgan's next project, the short-lived supergroup Zwan. The group's only album, Mary Star of the Sea, was released in 2003. After cancelling a few festival appearances, Corgan announced the demise of the band in 2003. During 2001 Corgan also toured as part of New Order and provided vocals on their comeback album Get Ready. In October 2004 Corgan released his first book, Blinking with Fists, a collection of poetry. In June 2005, he released a solo album, TheFutureEmbrace, which he described as "(picking) up the thread of the as-of-yet-unfinished work of the Smashing Pumpkins". Despite this, it was greeted with generally mixed reviews and lackluster sales. Only one single, "Walking Shade", was released in support of the album. In addition to drumming with Zwan, Jimmy Chamberlin also formed an alternative rock/jazz fusion project band called The Jimmy Chamberlin Complex. The group released an album in 2005 titled Life Begins Again. Corgan provided guest vocals on the track "Lokicat". James Iha served as a guitarist in A Perfect Circle, appearing on their Thirteenth Step club tour and 2004 album, eMOTIVe. He has also been involved with other acts such as Chino Moreno's Team Sleep and Vanessa and the O's. He continues to work with Scratchie Records, his own record label, as well. D'arcy Wretzky has, aside from one radio interview in 2009, not made any public statements or appearances nor given any interviews since leaving the band in 1999. On January 25, 2000, she was arrested after she allegedly purchased three bags of crack cocaine, but after successfully completing a court-ordered drug education program, the charges were dropped. Corgan insisted during this period that the band would not reform, although when Zwan broke up he announced, "I think my heart was in Smashing Pumpkins [...] I think it was naive of me to think that I could find something that would mean as much to me." Corgan said in 2005, "I never wanted to leave the Smashing Pumpkins. That was never the plan." On February 17, 2004, Corgan posted a message on his personal blog calling Wretzky a "mean-spirited drug addict" and blaming Iha for the breakup of the Smashing Pumpkins. On June 3, 2004, he added that "the depth of my hurt [from Iha] is only matched with the depth of my gratitude". Iha responded to Corgan's claims in 2005, saying, "No, I didn't break up the band. The only person who could have done that is Billy." CANNOTANSWER

what songs did they write?

) that were heavily influenced by The Cure and New Order. The duo performed live for the first time on July 9, 1988 at the Polish bar Chicago 21.