Wubbels's music has been performed throughout Europe, Asia and the U.S., by groups such as the Wet Ink Ensemble, Kammerensemble Neue Musik Berlin, ICE, Yarn/Wire, Ensemble Linea, Talea Ensemble, Left Coast Chamber Ensemble, and the Mivos Quartet, and featured on festivals including the Zurich Tage für Neue Musik (2013), Metz Festival (2014), and MATA Festival (2012).

He has received commissioning grants from Chamber Music America's Classical Commissioning Program, ISSUE Project Room, the Jerome Foundation, New Music USA, and Yvar Mikhashoff Trust, and has been awarded residencies at the MacDowell Colony and Civitella Ranieri Center (Italy).

As a performer, he has given U.S. and world premieres of works by major figures such as Peter Ablinger, Richard Barrett, Michael Finnissy, Beat Furrer, George Lewis, and Mathias Spahlinger. He has recorded for hat[NOW]art, Spektral, Albany Records, Carrier, and Quiet Design.

He holds a D.M.A. and M.A. in composition from Columbia University, and a B.A. from Amherst College, and has held teaching positions at Amherst College (2009-11) and Oberlin Conservatory (2012-13). His principal teachers include Lewis Spratlan, Tristan Murail, and Fred Lerdahl.