“Emotions and Math” is not simply the name of Margaret Glaspy’s new debut album. That expression drills right to the heart of the New York singer-songwriter’s proper introduction, a mission statement both artistic and personal.  

Glaspy, who’s 27 and grew up in Red Bluff, California, self-produced the album, which frames her revealing ruminations in shards of jagged guitar rock. Building on its early buzz — Rolling Stone hailed first single “You and I” for its “hot barbs of electric guitar,” and Brooklyn Vegan declared it a “stomping rocker with a DGAF attitude” — Glaspy prepares for a big year in 2016. She’s a fierce believer in the power of specifics to tell universal truths, to capture emotions we’ve all felt but don’t necessarily hear reflected in pop music.