Tim has answered very well, Wikipedia says "The genre of Laufey's music has been debated. She calls it jazz or jazz pop, while organisations such as National Public Radio, the New York Times, and The Sydney Morning Herald have noted that her music includes elements of jazz, pop, bossa nova, and classical, describing the entirety as traditional pop or old-time pop due to the blend of styles."
"Laufey was influenced by classical music, including Frédéric Chopin, and played it from an early age, but turned to her father's records of jazz musicians such as Ella Fitzgerald and Billie Holiday to develop her musical style. She has cited Fitzgerald and Chet Baker as her biggest artistic influences, calling the former her favourite musician. Laufey has also cited Taylor Swift, Norah Jones, and Adele as inspirations"
She's a classic cellist, orginally, and came to prominence in Icelands Got Talent - that's the country, not the store - I shudder to think what we'd get if it was the latter!

