[1] In 1995 he recorded his debut album, Flux, featuring drummer Jim Black and bassist Drew Gress.

In 2013, Monder released Hydra on Sunnyside, featuring Bleckmann, John Pattitucci, Skúli Sverrisson, and Ted Poor.

He made his debut on ECM Records as a leader with 2016's Amorphae, and played guitar on David Bowie's final studio album, Blackstar (2016).

He has worked with Lee Konitz, David Bowie, Paul Motian,[3] Chris Cheek, Tim Berne, David Binney, Theo Bleckmann, George Garzone, Jon Gordon, Julie Hardy, John Hollenbeck, Marc Johnson, Frank Kimbrough, Guillermo Klein, Dave Liebman, Michael Leonhart, Rebecca Martin, Donny McCaslin, Bill McHenry, Charles Pillow, Noah Preminger, Tim Ries, Pete Robbins, Josh Roseman, Maria Schneider, Kendra Shank, Toots Thielemans, Kenny Wheeler, Dan Willis, Miguel Zenón, and Patrick Zimmerli.

With The Bad Plus With Theo Bleckmann With Antonio Arnedo With Guillermo Klein With Donny McCaslin With Bill McHenry With Paul Motian With Noah Preminger With Maria Schneider With Patrick Zimmerli With others