José Rodríguez Alvira lives in the Caribbean island of Puerto Rico. Since 1983 he teaches at the Conservatory of Music of Puerto Rico. where he has been guitar and music theory professor, chairman of the Theory and Composition department and Dean of Academic Affairs. Currently he teaches music theory and computer related courses. He has studied at L'École Normale de Musique de Paris, the Conservatoire de Musique d'Aubervilliers and the Conservatory of Music of Puerto Rico.
His music has been played in Puerto Rico, Latin America, Europe and the United States and in important festivals like Festival Sonidos de las Americas: Puerto Rico, that took place in New York at the Carnegie Hall in 1997 organized by the american composers orchestra and the Festival Casals and Interamerican Festival in Puerto Rico.
He is the webmaster of teoría, a music theory web site that received the 2006 Merlot Classic Award in music.