In late 2002, Braxton co-founded Battles, in which, until 2010, he performed as guitarist, keyboardist and singer. The group received worldwide acclaim for their debut album Mirrored (2007), which, among other honors and awards, was hailed by Time and Pitchfork Media as one of the ten best records of the year. The 16-month tour for the record brought the band to such venues as The Cartier Foundation Museum in Paris, The Fuji Rock Festival in Northern Japan, and the Sydney Opera House in Australia for Brian Enoʼs Luminous Festival.
Braxton's Central Market was released worldwide by Warp Records in September 2009. The album, Braxton's second full length as a solo artist, features a large-scale orchestral score with performances by The Wordless Music Orchestra. The album's name is both a nod at Stravinsky's Petrushka (the fairytale-like bazaar that opens that ballet), as well as the worldwide market crash of 2008.
Central Market was premiered by Braxton and The Wordless Music Orchestra in the U.S at Lincoln Center, followed by performances at the Library of Congress and The Walker Arts Museum. It premiered in the U.K at Steve Reich's Reverberation Festival, Barbican Centre, in 2011 with the BBC Symphony Orchestra performing and was adapted for ballet by Baryshnikov Art Center resident choreographer John Heginbotham.
In 2011, Braxton expanded his focus on an array of other commissions and performances, including a return to Alice Tully Hall to premiere of TREMS, a new 2 movement work for Bang on a Can All Stars, the Barbican premiere of Uffe’s Woodshop for string quartet performed by the Kronos Quartet, and a duo with seminal composer Philip Glass for the New York edition of the All Tomorrow’s Parties festival in 2012. Central Market was then performed by the London Sinfonietta and Wordless Music Group at Queen Elizabeth Hall at the Southbank Centre in London.
In 2013, Alarm Will Sound premiered Braxton’s piece for chamber orchestra and electronics, Fly by Wire, commissioned by and performed at Carnegie Hall. Central Market was performed by the Los Angeles Philharmonic at Disney Hall and the world premiere of HIVE the multimedia composition for 2 modular synthesizers players and 3 percussionists on 5 large wooden pods, premiered at the Solomon R. Guggenheim Museum in NYC and commissioned by Works & Process at The Guggenheim. HIVE was then premiered in Europe in Kraków, Poland at the Sacrum Profanum festival.
In early 2014, Braxton collaborated with the electronic music pioneers Mouse on Mars, performing a new version of In C by the American composer Terry Riley as a part of the Stargaze festival in Berlin, Germany at the Volksbühne. HIVE premiered in Australia at MONA FOMA in Hobart, Tasmania and at The Sydney Opera House in Sydney Australia, as a part of Sydney Festival.
In the summer of 2014, Drum Corps International's Bluecoats Drum and Bugle Corps included Braxton's compositions Uffe's Woodshop and Platinum Rows in their second place musical program, TILT.
In 2015, Braxton released HIVE1, his first solo album in six years and his first on Nonesuch Records. Written and recorded throughout 2013 and 2014, the recording comprises eight pieces that were originally conceived for a performance work called HIVE that debuted at New York’s Guggenheim Museum in 2013. Oranged Out E.P, comprising music from the HIVE1 recordings, followed in 2016.
In 2017, Braxton recorded with Dirty Projectors on their self-titled album.Death Slug 2000 (2000) – with Jonathan Matis
History That Has No Effect (2002), JMZ
Rise, Rise, Rise (2003), Narnack – split LP with Parts & Labor
Central Market (2009), Warp
HIVE1 (2015), Nonesuch
Oranged Out E.P (2016), Beatink Records
EP C (Monitor Records; June 8, 2004)
B EP (Dim Mak Records; September 14, 2004)
EPC (Japan only special mix edition; Dotlinecircle; October 2004)
EP C/B EP (Warp Records; February 6, 2006)
Mirrored (Warp Records; May 14, 2007)
Lives (Limited edition CD; Beat Records; September 27, 2007)
Tonto+ (Warp Records; October 22, 2007)
Warp20 (Chosen) (Warp Records; September 29, 2009)
Twilight Saga: Eclipse OST (On "The Line"; Chop Shop Records; June 8, 2010)
Dirty Projectors (Domino Records; February 21, 2017)
Rubric Remix (appears on Rework Philip Glass Remixed; Orange Mountain Music; October 23, 2012)