Brooklyn-born Isaac Mizrahi’s inventive and provocative style has advanced complex fashion issues about high versus low, modern glamour, and contemporary culture. His runway shows were cast with unconventionally beautiful models of all ethnicities dressed in Star of David belts, Western-wear infused handmade lace, Adidas sneakers in place of high heels, handbags worn as hats, and humble cotton undershirts paired with floor-length taffeta skirts. “Isaac Mizrahi: An Unruly History,” organized thematically, explores key trends in his work — from the use of color and prints, to witty designs that touch on issues of race, religion, class, and politics. The core of the exhibition features iconic designs from the Isaac Mizrahi New York clothing label (1987–1998), the “semi-couture” collections (2003 – 2011), and the trailblazing line for Target (2002 – 2008). The Jewish Museum, 1109 Fifth Ave. at 92nd St. Through Aug. 7: Fri.-Tue., 11 a.m.-5:45 p.m.; Thu., 11 a.m.-8 p.m. Admission is $15, $12 for seniors, $7.50 for students, free for those 18 and under. Free admission on Sat. More information at thejewishmuseum.org.