The Center for Ballet and the Arts at New York University has selected its latest class of fellows in residence, who, during the 2017-18 academic year, will create new dances, write books and, in one case, reconceive “The Nutcracker.”

Among the 19 fellows is the choreographer Annie-B Parson, a founder of Big Dance Theater, who will create a suite of dances inspired by the idea of “erasing the master” in Rauschenberg’s “Erased de Kooning Drawing” (1953). Ms. Parson, according to a statement about her project, plans to “at first slavishly” attend to music in the second movement of Stravinsky’s Concerto for Two Pianos, then depart from it “while leaving faded marks of Stravinsky’s rhythms and musical structures in the dance material.”

The designers Reid Bartelme and Harriet Jung, who have made costumes for choreographers like Justin Peck and for companies including New York City Ballet and American Ballet Theater, plan to work on the project “A New Way In: Reconceiving Ballet Through Design.” They will stage “The Nutcracker” from the perspective of designers — as opposed to the more conventional approach of following a choreographer’s vision.

Other projects include “Balanchine’s Twenties: Early Solos and Duets,” a book by Millicent Hodson and Kenneth Archer about their decades-long work reconstructing lost ballets by George Balanchine, and “Cunningham’s Events,” a study of the choreographer Merce Cunningham’s staging of dance in museums and other nontraditional venues, by the art historian Claire Bishop.

Previous fellowship recipients have included the MacArthur-award-winning puppeteer Basil Twist, the musician Suzanne Vega and the documentary filmmaker Frederick Wiseman, whose project led to the recently staged “Titicut Follies: The Ballet” at N.Y.U.’s Skirball Center for the Performing Arts.