THE 1975 at Madison Square Garden (June 1, 8 p.m.). This archly witty English pop-rock band has gained a fervent — and growing — American audience in the last two years, thanks in part to the reputation of its outspoken lead singer, Matthew Healy. (On Tuesday, he paused a show to deliver a profanity-laced denunciation of the deadly attack that night at an Ariana Grande concert in the group’s native Manchester.) The latest studio album from the 1975, “I Like It When You Sleep, for You Are So Beautiful Yet So Unaware of It,” is full of self-aware commentary on modern romance and immaculate new-wave hooks — many of which will get the arena-scale grandeur they cry out for at the band’s first-ever headline gig at the Garden.
ODDISEE at Highline Ballroom (May 31, 8 p.m.). On albums like “The Iceberg,” released in February, the Washington rapper Oddisee delivers introspective lyrics over richly melodic beats that he produces himself. Although he exists mostly outside hip-hop’s commercial mainstream, his pointed, politically engaged perspective has attracted a devoted fan base. Onstage with his five-piece backing band, Good Compny, Oddisee’s songs bloom into expansive celebrations, with his city’s indefatigable go-go scene as a guiding light.
DIRTY DOZEN BRASS BAND 40TH ANNIVERSARY at the Blue Note (June 1-4, 8 and 10:30 p.m.). The New Orleans brass band tradition by now is a broad and flexible cultural export, but it wasn’t always. The Dirty Dozen Brass Band was the first such group to incorporate funk, hip-hop and other types of jazz into a relatively traditional formation. Over a storied career the band has recorded 12 studio albums and paved the way for a horde of similar acts, from the Rebirth Brass Band to the Soul Rebels. This four-night run is a celebration of the group’s 40th anniversary.
LOUIS HAYES at Dizzy’s Club Coca-Cola (May 29-31, 7:30 and 9:30 p.m.). The drummer Louis Hayes arrived in New York in 1956 after answering a call from Horace Silver, the pianist and composer. Silver was just entering a creative boom that would help define the classic hard-bop sound; over the next few years Mr. Hayes would play on five of Silver’s albums for Blue Note Records. On Friday Mr. Hayes releases “Serenade for Horace,” his first album as a leader for Blue Note, featuring covers of Silver compositions in a classic, swinging mode. He celebrates the album’s release — and his own 80th birthday, on Wednesday — over three nights with the group from the album: the tenor saxophonist Abraham Burton, the trumpeter Josh Evans, the vibraphonist Steve Nelson, the pianist David Bryant and the bassist Dezron Douglas.
SEAN JONES QUARTET at Jazz Standard (June 1-4, 7:30 and 9:30 p.m.). Mr. Jones is a straight-ahead trumpeter from the Freddie Hubbard school of improvisers: fleet, boisterous and harmonically minded. A member of the SFJazz Collective and a former lead trumpeter in the Jazz at Lincoln Center Orchestra, Mr. Jones releases “Live From Jazz at the Bistro,” his eighth LP for Mack Avenue Records and his first live album, on Friday. For these performances, he will appear with some of the musicians from that record: the pianist Orrin Evans, the bassist Luques Curtis and the drummer Obed Calvaire.
GUILLERMO KLEIN SEXTET at the Cornelia Street Café (May 27, 9 and 10:30 p.m.). Mr. Klein, an Argentine-American pianist and sometime vocalist, has exerted a subtle influence on New York jazz over the past 20 years, mostly through the work of his large ensemble, Los Guachos, which draws on folk and tango from the Cono Sur region of South America as well as modern jazz. He’s also performed consistently in smaller band formats; last month he released “The Upstate Project,” a lovely quartet album credited to Mr. Klein and the guitarist and vocalist Rebecca Martin. He plays here with a different group, featuring Miguel Zenón on alto saxophone; Seamus Blake on tenor saxophone; Tirman Deus on bandoneon, an Argentine concertina; Matt Pavolka on bass; and Rodrigo Recabarren on drums.
CAMILA MEZA AND THE NECTAR ORCHESTRA at the Jazz Gallery (May 30, 7:30 and 9:30 p.m.). The guitarist and vocalist Camila Meza, who hails from Chile but lives in New York, allows harmonic development to guide the weaving momentum of her compositions. She belongs to a small crowd of singer-songwriters in the city who write mostly acoustic music that’s informed by indie rock, North and South American folk, and some contemporary jazz. (Others you might have heard: Becca Stevens, Alan Hampton, Gretchen Parlato.) Here, Ms. Meza will debut fresh material with a new group, the Nectar Orchestra, which is one-half jazz combo and one-half string quartet.
VISION FESTIVAL 22 at Judson Memorial Church (May 28 through June 3). The Vision Festival, New York’s annual gathering of the improvising avant-garde, is a locus for some of the country’s most unbounded musicians. The alto saxophonist Darius Jones; Artifacts Trio (Nicole Mitchell, Tomeka Reid and Mike Reed); the tenor saxophonist David Murray; and Trio 3 (Oliver Lake, Reggie Workman and Andrew Cyrille) are all on the bill. And it’s a multimedia affair, with a reading by the esteemed poet Fred Moten; dance performances; and film screenings on the Black Panther Party and the musician Cooper-Moore, who is this year’s honoree. The festival will take place mostly at Judson Memorial Church in Greenwich Village, but some of the events, including midnight performances, are at Anthology Film Archive and Nublu.
JOHN ZORN at the Village Vanguard (May 28, 3 p.m.). Every once in a while Mr. Zorn, the alto saxophonist and experimental music figurehead, infiltrates the Vanguard, straight-ahead jazz’s temple, for a one-off matinee show. In November he convened a trio featuring the bassist Christian McBride and the drummer Milford Graves; the gig was an unqualified success — a shot of freak-jazz purgation just days after a bewildering presidential election. This Sunday he appears with Mr. McBride and a different drummer, Tyshawn Sorey. Bold and complex but disarmingly humane, Mr. Sorey recently spent a charmed week at the Vanguard, playing brilliantly with the Vijay Iyer Trio. His approach tends to create a big web of crosshatching; he and Mr. McBride may bring out something special in each other.
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