Question: What is the birthday of the current rhythm guitarist of The Smashing Pumpkins?

full_context: Document 1: Jeff Schroeder: Jeffrey Kim "Jeff" Schroeder (born February 4, 1974, Los Angeles, California, United States) is an American rock musician, who became a guitarist with the alternative rock band The Smashing Pumpkins (replacing co founder James Iha) in 2007. He is currently finishing his PhD in Comparative Literature at UCLA, where he specializes in Asian American Literature, Francophone Literature, and Critical Theory.
Document 2: Jimmy Chamberlin: James Joseph Chamberlin (born June 10, 1964) is an American drummer and record producer. He is best known as the drummer for the alternative rock band The Smashing Pumpkins. Following the 2000 breakup of the band, Chamberlin joined Pumpkins frontman Billy Corgan in the supergroup Zwan and also formed his own group, the Jimmy Chamberlin Complex. In 2005, Chamberlin joined Corgan in reforming The Smashing Pumpkins; he eventually left the group in March 2009, though he returned again in 2015 for a summer tour. He performed in the group Skysaw until 2012. He is currently active under the Jimmy Chamberlin Complex name. In addition to his current work as CEO, Chamberlin has joined Chicago jazz saxophonist Frank Catalano for a string of 2013–15 performances in the Chicago area. An EP by Catalano and Chamberlin "Love Supreme Collective - EP" was released on the 29th of July 2014.
Document 3: The Smashing Pumpkins: The Smashing Pumpkins are an American alternative rock band from Chicago, Illinois, formed in 1988. Formed 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 and rhythm guitarist Jeff Schroeder.
Document 4: The Smashing Pumpkins discography: The discography of the Smashing Pumpkins, an American alternative rock band formed in Chicago, Illinois, consists of nine studio albums, four live albums, one digital live album series, seven compilation albums (including box sets and promotional releases), five extended plays (including promotional releases), 42 singles (including promotional releases), four video albums, 23 music videos, and contributions to five soundtrack albums. This list does not include material recorded by The Smashing Pumpkins members with other side projects.
Document 5: Mellon Collie and the Infinite Sadness: Mellon Collie and the Infinite Sadness is the third studio album by American alternative rock band The Smashing Pumpkins, released on October 23, 1995 in the United Kingdom and a day later in the United States on Virgin Records. Produced by frontman Billy Corgan with Flood and Alan Moulder, the 28-track album was released as a two-disc CD and triple LP. The album features a wide array of styles, as well as greater musical input from bassist D'arcy Wretzky and second guitarist James Iha.
Document 6: Jeffrey Grice: Jeffrey Grice (born 1954) is a New Zealand musician. Born in Christchurch, Jeffrey Grice studied languages and music at University of Auckland. He then continued his piano studies in Paris, obtaining the Licence de Concert de l'Ecole Normale Supérieure de Musique.
Document 7: Jeffrey Kollman: Jeffrey "Jeff" Kollman is an American guitar player from Toledo, Ohio, best known for his work with Chad Smith's Bombastic Meatbats, Glenn Hughes, UFO offshoot Mogg/Way, progressive rock trio, Cosmosquad, and his 90's progressive metal band, Edwin Dare. He has worked extensively with contemporary jazz keyboardist Lao Tizer, toured with Japanese superstar Eikichi Yazawa, the Alan Parsons Live Project, former Skid Row vocalist Sebastian Bach, the Michael Schenker Group and UFO, gigged with bassist/vocalist Marco Mendoza and the Danny Seraphine led CTA (California Transit Authority), and is currently a member of Asia feat. John Payne and blues rockers Bleeding Harp.
Document 8: Jeff Mueller: Jeff Mueller is an American vocalist and guitarist best known as a member of the math rock bands Rodan, Shipping News and June of 44. His bands have been critically recognized for being key forerunners in the development of post-rock, math rock and post-hardcore. His only solo, titled "Fold and Perish", was released in 1999 by Monitor Records. He currently lives in New Haven, Connecticut.
Document 9: Wilco: Wilco is an American alternative rock band based in Chicago, Illinois. The band was formed in 1994 by the remaining members of alternative country group Uncle Tupelo following singer Jay Farrar's departure. Wilco's lineup changed frequently during its first decade, with only singer Jeff Tweedy and bassist John Stirratt remaining from the original incarnation. Since early 2004, the lineup has been unchanged, consisting of Tweedy, Stirratt, guitarist Nels Cline, multi-instrumentalist Pat Sansone, keyboard player Mikael Jorgensen, and drummer Glenn Kotche. Wilco has released ten studio albums, a live double album, and four collaborations: three with Billy Bragg and one with The Minus 5.
Document 10: Jeff Tweedy: Jeffrey Scot Tweedy (born August 25, 1967) is an American songwriter, musician, and record producer best known as the singer and guitarist of the band Wilco. Tweedy, originally from Belleville, Illinois, started his music career in high school in his band The Plebes with Jay Farrar, which subsequently after several years formed into the alternative country band Uncle Tupelo. After Uncle Tupelo's fourth studio album, the band broke up in 1994 due to conflict between Tweedy and Farrar, prompting Tweedy to form Wilco, with Farrar forming the band Son Volt. Wilco's first album "A.M.", released in 1995, received mixed reviews from critics, though Wilco later found critical and commercial success on their later albums, most notably with "Yankee Hotel Foxtrot" and "A Ghost Is Born", the latter of which received a Grammy for Best Alternative Album in 2005. Across Tweedy's career he has released fifteen studio albums, including four with Uncle Tupelo, ten with Wilco, and one with his son Spencer, along with numerous collaborations with other musicians, most notably "Mermaid Avenue" with Billy Bragg.
Document 11: James Iha: James Yoshinobu Iha (井葉吉伸 , Iha Yoshinobu ) (born March 26, 1968) is an American rock musician. He is best known as former guitarist and co-founder of the alternative rock band The Smashing Pumpkins and for his eclectic musical projects of recent years, most notably being a permanent fixture of A Perfect Circle. He was most recently a member of Tinted Windows, a 1960s/1970s inspired group with members of Cheap Trick, Fountains of Wayne, and Hanson.
Document 12: Billy Corgan: William Patrick "Billy" Corgan Jr. (born March 17, 1967) is an American musician, songwriter, producer, poet, and entrepreneur. He is best known as the lead singer, primary songwriter, guitarist, and sole permanent member of The Smashing Pumpkins. Formed by Corgan and guitarist James Iha in Chicago, Illinois, in 1988, the band quickly gained steam with the addition of bassist D'arcy Wretzky and drummer Jimmy Chamberlin. Strong album sales and large-scale tours propelled the band's increasing fame in the 1990s until their break-up in 2000. Corgan started a new band called Zwan, and after their quick demise, he released a solo album ("TheFutureEmbrace") and a collection of poetry ("Blinking with Fists") before setting his sights on reforming Smashing Pumpkins.
Document 13: List of the Smashing Pumpkins band members: The Smashing Pumpkins are an alternative rock band formed in Chicago, Illinois in 1988. The band was formed by guitarist/vocalist Billy Corgan and guitarist James Iha after the demise of Corgan's first band, The Marked. Since its inception, The Smashing Pumpkins has gone through multiple line-up changes, with Corgan the only consistent member.
Document 14: Jeff Buckley: Jeffrey Scott "Jeff" Buckley (November 17, 1966 – May 29, 1997), raised as Scott Moorhead, was an American singer-songwriter and guitarist. After a decade as a session guitarist in Los Angeles, Buckley amassed a following in the early 1990s by playing cover songs at venues in Manhattan's East Village, such as Sin-é, gradually focusing more on his own material. After rebuffing much interest from record labels and his father Tim Buckley's manager Herb Cohen, he signed with Columbia, recruited a band, and recorded what would be his only studio album, "Grace", in 1994. In 2004, "Rolling Stone Magazine" listed him at number 39 on their list of greatest singers of all time.. In the December 2013 Mojo, Grace was named the 12th best album of the magazine's 20-year lifetime.
Document 15: Jason Scheff: Jason Randolph Scheff (born April 16, 1962, in San Diego) is an American bassist, singer, and songwriter. From 1985 to 2016 he was the bassist and singer for the veteran pop-rock band Chicago.
ground_truth: February 4, 1974