BALLETCOLLECTIVE The choreographer Troy Schumacher’s elegant ensemble presents world premieres by Schumacher and Omar Román De Jesús that explore themes of probability and chance. (Oct. 31-Nov. 2, Trinity Commons)

PAUL TAYLOR DANCE COMPANY In addition to classic Taylor works, the troupe’s fall programming features five dances by other choreographers, including world premieres by Larry Keigwin and the resident choreographer Lauren Lovette. Her “Echo,” created for the men of the company, will be paired with Ulysses Dove’s 1986 “Vespers,” danced by its women; Lovette’s “Dreammachine” will also make its New York debut. (Oct. 31-Nov. 12, David H. Koch Theater)

PERFORMA 23 BIENNIAL The 10th edition of this performance-focused biennial includes the premiere of Julien Creuzet’s “Algorithm ocean true blood moves,” a collaboration with the choreographer Ana Pi, which draws on movements culled from Instagram (Nov. 1-19); the ensemble Juni One Set’s “Boy Mother/Faceless Bloom,” an interdisciplinary telling of the story of a young boy who learns he will become a mother (Nov. 16-18); and the artist Marcel Dzama’s “Trip to the Moon,” at Abrons Art Center, with dance, imagery and music inspired by a poem by Federico García Lorca (Nov. 1-19).

STEPHEN PETRONIO COMPANY During pandemic shutdowns, the veteran choreographer Stephen Petronio recorded his own improvisatory movements as he worked in isolation. They became the starting point for “Breath of the Beast,” an evening-length premiere created in collaboration with the violinist Jennifer Koh, who will perform live at each performance. (Nov. 2-4, N.Y.U. Skirball Center)

“WATCH NIGHT” In its inaugural season, the long-awaited Perelman Performing Arts Center is going both big and eclectic — as exemplified by “Watch Night,” a world premiere conceived by the choreographer and director Bill T. Jones and the poet Marc Bamuthi Joseph, with music by Tamar-kali. Melding opera, slam poetry and Jones’s potent movement, the piece explores justice and forgiveness in the aftermath of tragedy. (Nov. 3-18)

KYLE MARSHALL CHOREOGRAPHY The company’s first Joyce Theater program features three New York premieres by Marshall, including “Alice,” which uses the music of Alice Coltrane to guide a journey of self-acceptance. (Nov. 8-12)