He attended the Music Advancement Program at the Juilliard School as a violin student of Hisako Resnick and later began composition studies with Amanda Harberg.
[2] In 1999, Muñoz attended the French Woods Festival of the Performing Arts and was given the opportunity to conduct several ensembles, as well as a fully staged Broadway musical production.
Muñoz began undergraduate studies at the Aaron Copland School of Music, Queens College, as a violin student of Orion String Quartet member Daniel Phillips.
He also participated in master classes with many notable conductors including Asher Fisch, George Manahan, David Robertson, Leonard Slatkin and Robert Spano.
He made his operatic debut in January 2009 with the Opéra national de Lorraine in a production of Manuel Caballero's Los Sobrinos del Capitan Grant.
[17] In November 2012, (Le) Poisson Rouge announced the formation of an in-house orchestra named Ensemble LPR and appointed Muñoz as its music director.