DAVID BRYANT TRIO at Mezzrow (Sept. 27-28, 7:30 and 9 p.m.). This young Brooklyn-born pianist has proved frustratingly good at not overselling his talents. Unlike many of his generation, he has not rushed to put out albums under his own name (not even one, actually), and you’re more likely to catch him accompanying an elder musician than leading his own band. There’s a lot of merit to that approach, though it feels less common in New York these days. When playing straight-ahead jazz (in, say, the eminent drummer Louis Hayes’s band), Bryant thickens and enriches things with inventive harmonies, but never sounds overserious or complexified. Moving in more avant-garde scenarios (with Steve Coleman or Henry Threadgill), he articulates his lines strongly while keeping them wide open to their musical surroundings. He appears on Friday with the bassist Chris Tordini and the drummer Craig Weinrib; on Saturday he and Weinrib will be joined by Thomas Morgan on bass.

646-476-4346, mezzrow.com

RON CARTER at Merkin Hall (Sept. 28, 8 p.m.). The questions that you could ask this 82-year-old National Endowment for the Arts Jazz Master, who is said to be the most-recorded bassist in jazz history, are almost limitless. Terrance McKnight, a musician and WQXR radio host, will have a chance to pose a few at this concert, during which he will interview Carter onstage. But the main attraction is, of course, the music: Here Carter will perform with an intriguing hybrid ensemble, featuring a quartet of cellists (Maxine Neuman, Zoe Hassman, Carol Buck and Dorothy Lawson) conjoined with a jazz group (Don Byron on clarinet, Donald Vega on piano, Leon Maleson on bass and Payton Crossley on drums). Carter will play the piccolo bass, an instrument that allows him to more easily assume a leading role.

212-501-3330, kaufmanmusiccenter.org

FRED FRITH at the Stone (through Sept. 28, 8:30 p.m.). From his work in the late 1960s and early ’70s with Henry Cow — a band that presaged the experimental and progressive rock movements — this guitarist, multi-instrumentalist and sometime instrument maker has stood just outside of any conventional genre, or conventional instrumental practice. His approach on the guitar comprises a mix of atonal, slyly percussive dots and dashes; scattered speckles of notes; and occasional flashes of lyrical beauty, often augmented by electronic effects and extraneous noisemaking devices. At the Stone this week he is in residence with his trio, featuring Jason Hoopes on bass and Jordan Glenn on drums. They’ll be joined on Thursday by the saxophonist Lotte Anker, on Friday by the trumpeter Susana Santos Silva, and on Saturday by both Santos Silva and the keyboardist Evelyn Davis.

thestonenyc.com

CHRIS LIGHTCAP’S SUPERBIGMOUTH at the Jazz Gallery (Oct. 3, 7:30 and 9:30 p.m.). With whatever band Lightcap is leading, he strikes a masterly balance between urgent, punctuated bass playing and smooth, sighing melodies on top. In his group Bigmouth, the lead instruments are two tenor saxophones; in Superette, it’s a pair of electric guitarists. His latest endeavor is SuperBigmouth, a composite of those two ensembles, featuring the tenor saxophonists Tony Malaby and Chris Cheek, the guitarists Jonathan Goldberger and Curtis Hasselbring, the keyboardist Craig Taborn, and the drummers Gerald Cleaver and Dan Rieser. That group is about to release a self-titled debut album, which commingles shades of prog rock, spiritual jazz and the indie-lounge vibes of Stereolab, resulting in something altogether new. Here SuperBigmouth will present music from that recording.

646-494-3625, jazzgallery.nyc

AARON PARKS TRIO at the Village Vanguard (through Sept. 29, 8:30 and 10:30 p.m.). Parks may be only 35 years old, but his influence on young musicians coming out of conservatories has already begun to show in a major way. On albums like “Invisible Cinema” (2008), “Find the Way” (2017) and “Little Big” (2018), he upends the distinction between the roles of the left and right hands, playing lithe and elegant patterns that alternate between the two, or sculpting crisp, refracted chords with both. This week marks Parks’s debut as a leader at the historic Vanguard; he will perform with Ben Street on bass and Billy Hart on drums, the trio that appeared on “Find the Way.”

212-255-4037, villagevanguard.com

CÉCILE MCLORIN SALVANT at the Rose Theater (Sept. 27-28, 8 p.m.). This virtuoso vocalist, composer and unofficial musical anthropologist debuted “Ogresse” — the darkly humorous, fantastical suite she wrote with the composer and bandleader Darcy James Argue — one year ago at the Metropolitan Museum of Art. It has only been performed a few times since: With its 13-piece orchestra (featuring the Mivos string quartet and an eight-person jazz group, all conducted by Argue), it’s a bit of a bear to present. But the reviews of these shows have generally been raves, and this performance at Jazz at Lincoln Center’s main theater affords another opportunity to experience it in rarefied surroundings.

212-721-6500, jazz.org

GIOVANNI RUSSONELLO