Dave Douglas Quintet (Thursday) The industrious trumpeter-composer Dave Douglas recently broke in a new quintet, releasing two albums on his own Greenleaf label. He features the band — with Jon Irabagon on saxophones, Matt Mitchell on piano, Rudy Royston on drums and Chris Tordini (filling in for Linda Oh) on bass — in an evening that will also involve the guest vocalist Becca Stevens. And before the main concert, at 8:30 p.m., there will be a 7 p.m. performance of Mr. Douglas’s sextet music by students enrolled in a workshop. At Shapeshifter Lab, 18 Whitwell Place, Park Slope, Brooklyn, shapeshifterlab.com; $15. (Chinen)
Chris Lightcap’s Bigmouth (Wednesday) With “Deluxe” (Clean Feed), released in 2010, the bassist Chris Lightcap delivered a righteous dispatch from the New York jazz grid, full of streamlined rhythm and stark, suggestive harmony. He explores the same concept here with the tenor saxophonists Chris Cheek and Tony Malaby, the pianist Craig Taborn and the drummer Ches Smith. At 8:30 p.m., Cornelia Street Café, 29 Cornelia Street, Greenwich Village, (212) 989-9319, corneliastreetcafe.com; $20 cover, includes a drink. (Chinen)
The Microscopic Septet (Thursday) Still led by its founders, the soprano saxophonist Phillip Johnston and the pianist Joel Forrester, this outfit semi-recently released a breezy but insightful tribute to Thelonious Monk, “Friday the Thirteenth: The Micros Play Monk” (Cuneiform). With luck, a bit of that music will turn up here, on a gig otherwise devoted to material for a forthcoming release. At 7:30 p.m., Joe’s Pub, at the Public Theater, 425 Lafayette Street, at Astor Place, East Village, (212) 967-7555, joespub.org; $20, with a two-drink or $12 food minimum. (Chinen)
Mike Reed’s People, Places & Things (Friday) The Chicago drummer Mike Reed has an abiding interest in the jazz heritage of his hometown, and with the excellent pianoless quartet People, Places & Things — featuring the alto saxophonist Greg Ward, the tenor saxophonist Tim Haldeman and the bassist Jason Roebke — he explores that history from multiple angles. This stop on the band’s east coast tour seems likely to include music from “Clean on the Corner” (482 Music), an album it released last year. At 9 and 10:30 p.m., Cornelia Street Café, 29 Cornelia Street, Greenwich Village, (212) 989-9319, corneliastreetcafe.com; $20 cover, includes a drink. (Chinen)