Jazz luminary and saxophonist Sonny Rollins has died, according to a statement by his publicist, Terri Hinte. No specific cause of death was given, though in recent years Rollins had been diagnosed with respiratory issues. He died at home in Woodstock, New York. He was 95. Born and raised in Harlem, Rollins was raised on the music of Louis Armstrong, Charlie Parker, and Fats Waller. He started playing the alto sax, but at 16, switched to tenor. As a teenager, he recorded with Bud Powell and J.J. Johnson, and later worked with Miles Davis (who referred to Rollins as a “legend” in his autobiography) and Thelonious Monk. In 1956, Rollins emerged as a bandleader with a series of iconic recordings, including Saxophone Colossus , A Night at the Village Vanguard , Tenor Madness , and Newk’s Time . As the years progressed, so did Rollins’ playing style.…