Mirga Grazinyte-Tyla, 30, is already one of the world’s fastest-rising conductors. Closely affiliated with the Los Angeles Philharmonic, a canny judge of young talent, she has just become the music director of the City of Birmingham Symphony Orchestra in England, a position that jump-started the careers of Simon Rattle and Andris Nelsons.

Those looking to spot the next big thing will want to join her on Monday, Sept. 26, when she makes her New York debut leading the Juilliard Orchestra, a crack ensemble known for attracting a parade of superb guest conductors.

The concert begins with the vivid “Fires” by the Lithuanian composer Raminta Serksnyte and moves to Beethoven’s Piano Concerto No. 3 and Berlioz’s “Symphonie Fantastique.” It’s a program that will suit Ms. Grazinyte-Tyla’s lucid intensity. (juilliard.edu.)