[3] He studied at the Lanzarote Conservatory of Music[4] with Miguel Ángel Calzadilla and took private lessons with Toñin Corújo.
He met José Ramón García, who taught him harmony, analysis, and composition.
During his time at Salamanca, he took lessons from Costas Cotsiolis for one year in Atenas and from Ricardo Gallén.
[5] Barber attended the Mozarteum University of Salzburg where he completed his postgraduate studies with Marco Tamayo.
His duo album with pianist Craig Taborn, Tales, was mentioned in several top ten charts and Best-of-2014 lists such as iTunes (awarded with 4 stars),[10] Down Beat (4 of 5 stars),[11] The New York City Jazz Record,[12] Baltimore City Paper[13] and The New York Village Voice.