Depper's earlier work included playing bass in the Brit-pop-inspired group the Village Green, who put out a self-titled EP in 2005 and the full-length Feeling the Fall in 2006 before Depper quit the band. Over the next five years, he built a long résumé that included appearances on albums by Americana singer/songwriters Jeff London and Laura Gibson, playing bass for White Hinterland, and acting as multi-instrumentalist for Loch Lomond. In 2011, Jackpot Records released his solo effort, The Ram Project, a reconstruction of Paul McCartney's 1971 masterpiece Ram.
As a short-term member of the alternative country-rock group Quiet Life, Depper contributed to their 2013 album Wild Pack, and in 2014, he toured as a member of Ray LaMontagne's backing band. That same year, he accepted an invitation to join the lineup of Death Cab for Cutie as multi-instrumentalist, replacing founding member Chris Walla. While touring in 2015 (specifically, two days after the Bataclan attacks in Paris), he recorded an EP called Utrecht Suite, made entirely of solo guitar improvisations using a loop pedal. During this stretch of the mid-2010s, he also played studio sessions for artists such as Crystal Bowersox, Musée Mécanique, Lost Lander, and Søren Juul. While most often tapped as a bassist, his credits also include guitar and various keyboard instruments, including synths. For Laura Gibson's 2016 LP Empire Builder, Depper provided multiple instruments, additional production, and loops.
His first official solo album of original songs arrived on Tender Loving Empire in 2017. Five years in the making, Emotional Freedom Technique offered an intimate version of synth pop informed by the isolation of life on the road. It featured a duet with Gibson, while, with the exception of some backing vocals, Depper covered the rest of the performances himself.
Next up was another album with Death Cab for Cutie, Thank You for Today, which saw release in August 2018. It debuted at 13 on the Billboard Top 200 and was supported by more touring. In September of 2019, the band released The Blue EP, followed in late 2020 by a benefit EP of covers of Georgia-bred artists like R.E.M., Cat Power, and TLC. Proceeds from The Georgia EP went to Democratic politician Stacey Abrams' voter rights organization Fair Fight Action. On his time away from the group, Depper released a full-length set of guitar instrumentals from the 2015 Death Cab for Cutie tour. Titled Europa, it arrived on the Jealous Butcher label in early 2021. ~ Marcy Donelson, Rovi