In 1998, Martin debuted as a solo artist with Thoroughfare, which found her continuing her creative partnership with Harris and featured contributions from her husband, bassist Larry Grenadier, as well as guitarist Steve Cardenas and tenor sax player Bill McHenry. A well-received standards collection, Middlehope, followed on Fresh Sound New Talent in 2000. She then began working with drummer/composer Paul Motian, appearing on his album On Broadway, Vol. 4 or the Paradox of Continuity, and singing at a 2006 Carnegie Hall tribute concert to Village Vanguard owner Lorraine Gordon. The experience helped propel Martin's creativity, and in 2008 she returned with her own progressive, poetic effort, Growing Season. Produced by guitarist and former bandmate Rosenwinkel, it once again featured Grenadier and drummer Brian Blade.
In 2010, she delivered her second standards album, When I Was Long Ago, which showcased her trio with Grenadier and saxophonist McHenry. Three years later, she returned with the largely all-original set Twain, with Grenadier, drummer Dan Rieser, and pianist Peter Rende. She then paired with vocalist Gretchen Parlato and singer/guitarist Becca Stevens for the album Tillery. For 2017's The Upstate Project, Martin collaborated with keyboardist/vocalist Guillermo Klein. ~ Matt Collar, Rovi