Steve Coleman at the Stone (through Sunday) Last week Mr. Coleman — a formidable alto saxophonist, composer and bandleader, and a guru among the maverick class of jazz musicians — received a MacArthur Foundation fellowship, the so-called “Genius Grant.” Anyone curious about the thrust of his work could do no better than to stop in at the Stone during the end of this two-week residency, featuring Five Elements, his trademark band, with members of Talea Ensemble and percussionists from Cuba and Brazil. At 8 and 10 p.m., the Stone, Avenue C and Second Street, thestonenyc.com; $15 or $20 per set. (Chinen)
Mark Dresser Quintet (Friday) A master of abstract texture and extended techniques, the bassist Mark Dresser surrounds himself with sympathetic partners here: Rudresh Mahanthappa on alto saxophone, Michael Dessen on trombone, Denman Maroney on prepared piano and Michael Sarin on drums. At 9 and 10:30 p.m., Cornelia Street Café, 29 Cornelia Street, Greenwich Village, 212-989-9319, corneliastreetcafe.com; $15 cover, with a $10 minimum. (Chinen)
Peter Evans Quintet (Friday through Sunday) Peter Evans, a trumpet virtuoso with a knack for sly contrarianism, has a productive outlet in this quintet, featuring Ron Stabinsky on piano, Sam Pluta on live electronics, Tom Blancarte on bass and Jim Black on drums. For the first two nights of this weekend residency, the band will welcome a guest, each an eminence of free jazz: first the British saxophonist Evan Parker (on Friday), followed by the American multi-instrumentalist Joe McPhee (Saturday). At 8 p.m., Jack, 505 ½ Waverly Avenue, near Fulton Street, Clinton Hill, Brooklyn, jackny.org; $10 in advance, $15 at the door. (Chinen)
Kneebody (Friday) One of the smarter bands blenderizing postbop, indie rock, hip-hop and classical music, Kneebody put it all on the table with “The Line,” its recent Concord Records debut. For this show, the group teams up with Kimbra, the New Zealand pop eclectic now touring behind her own stylistically slippery album, “The Golden Echo.” At 6:30 p.m., Le Poisson Rouge, 158 Bleecker Street, near Thompson Street, Greenwich Village, 212-505-3474, lepoissonrouge.com; $20. (Chinen)
Reverse Blue (Thursday and next Friday) The guitarist Mary Halvorson works often with Tomas Fujiwara, the drummer anchoring Reverse Blue. She has a bit less history — but more all the time — with Chris Speed, a probing saxophonist and clarinetist, and Eivind Opsvik, a bassist drawn to glowing lyricism. This will be a preview of its self-titled debut album, due out on Oct. 7. At 8:30 p.m. (9 and 10:30 p.m. next Friday), Cornelia Street Café, 29 Cornelia Street, Greenwich Village, 212-989-9319, corneliastreetcafe.com; $10 cover, with a $10 minimum. (Chinen)
Eric Revis Quartet (Friday) As a bassist and bandleader, Eric Revis knows the trick to making heady abstractions feel like blunt physical facts, negotiable only on their own terms. He draws here from a new album, “In Memory of Things Yet Seen,” featuring a knockabout quartet with Darius Jones on alto saxophone, Bill McHenry on tenor saxophone and Chad Taylor on drums. At 8 and 10 p.m., the Jazz Gallery, 1160 Broadway, fifth floor, at West 27th Street, 646-494-3625, jazzgallery.org; $22, $12 for members. (Chinen)
Matthew Shipp (Sunday) An improvising pianist drawn to prickly epiphany, Mr. Shipp has done his fair share of work in the solo format, but not often with the plain conviction found on “I’ve Been to Many Places,” whose release he celebrates with this concert, part of the Sound It Out series. At 8 p.m., Greenwich House Music School, 46 Barrow Street, West Village, 212-242-4770, greenwichhouse.org; $20, $15 for students. (Chinen)
Ches Smith at the Stone (Tuesday through Oct. 5) A smartly unruly drummer active in devious art-rock and outsider jazz, Ches Smith will be in residence at the Stone next week, leading a different group each night. On Tuesday he presents We All Break, a convergence of improvised music and traditional Haitian drumming, with partners including the pianist Matt Mitchell; on Wednesday he presides over These Arches, featuring Tim Berne and Tony Malaby on saxophones, Mary Halvorson on guitar, Andrea Parkins on accordion and electronics. On Thursday he leads a quartet with the trumpeter Jonathan Finlayson, the pianist Craig Taborn and the bassist Stephan Crump. At 8 and 10 p.m., the Stone, Avenue C and Second Street, thestonenyc.com; $15 per set. (Chinen)
Strange & Beautiful: A Celebration of the Music of John Lurie, The Lounge Lizards and Marvin Pontiac (Saturday) The culmination of several days of tributes to John Lurie — a saxophonist, composer, bandleader, actor and painter still synonymous with an era of downtown culture — this concert has been organized around several of his enduring musical guises. It will feature a heavy lineup of his contemporaries and heirs, notably the saxophonist and composer John Zorn, the guitarist Marc Ribot, the pianist John Medeski, the cellist Jane Scarpantoni, and Flea, of the Red Hot Chili Peppers. At 8 p.m., Town Hall, 123 West 43rd Street, Manhattan, 800-982-2787, the-townhall-nyc.org; $30 to $40. (Chinen)
‘Very Very Threadgill’ (Saturday and Sunday) The saxophonist, flutist and composer Henry Threadgill, one of the great figures in the past half-century of American music, is still playing with inspired hunger and writing lots of new work — sometimes jazz-related but not jazz per se — for his changing bands of unusual timbre, which have included cello, tuba and accordion. For a two-night stand at the Harlem Gatehouse, the pianist Jason Moran will organize more than 30 musicians to play his music from different parts of his career, as well as conduct a public interview with Mr. Threadgill. Saturday at 7 p.m., Sunday at 4 p.m., 150 Convent Avenue, at 135th Street, Hamilton Heights, 212-281-9240, harlemstage.org; sold out. (Ben Ratliff)
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