Eaves began his professional career in 1993, at age nineteen, when he joined the original American cast of the Off-Broadway percussion show Stomp.
Since then he has appeared in other Broadway productions, The Sound of Music (Rolf), James Joyce's The Dead (Michael), The Lieutenant of Inishmore (Joey), Martin McDonagh's A Behanding in Spokane, the 2007 production of Helen Edmundson's Coram Boy at the Imperial Theatre (Thomas Ledbury), A Time to Kill, A Christmas Carol directed by Matthew Warchus (Bob Cratchit), and Sing Street, a rock musical based on the Irish film by the same name.
[2] Eaves has appeared Off-Broadway in Lynn Nottage's Fabulation at Signature Theater, Luck of the Irish at LCT3 (Lincoln Center), The Lieutenant of Inishmore at Atlantic Theater Company, Frank McGuinness' Observe the Sons of Ulster Marching Towards the Somme at Lincoln Center, James Joyce's The Dead and Quincy Long's People Be Heard at Playwrights Horizons, and Dead Outlaw.
He has appeared at the Williamstown Theatre Festival in A Midsummer Night's Dream (Lysander),[4] Elmer Rice's Street Scene,[5] and Ellen Melaver's Not Waving.
He was also in the first developmental production of The 25th Annual Putnam County Spelling Bee at Barrington Stage Company, playing the role of Mitch the "Comfort Counselor".