Gemma Doyle series by Libba Bray
It's 1895 and, after the death of her mother, 16-year-old Gemma Doyle is shipped from the she knows in India to Spence, a proper boarding school in England. Lonely, guilt-ridden, and prone to visions of the future that have an uncomfortable habit of coming true. Gemma finds he reception a chilly one. She's not completely alone, though... she's being followed by a mysterious young man, sent to warn her to close her mind against the visions.
It's at Spence that Gemma's power to attract the supernatural unfolds as she becomes entangled with the school's most powerful girls and discovers her mother's connection to a shadowy, timeless group called The Order. Her destiny awaits... if only Gemma can believe in it.