He served as administrator of the Mexican Mint and was the founder of the Academia de San Carlos where he specialized in engraving medals and coins.
During his time there, he also made numerous medals, including ones depicting the birth of Prince Ferdinand (1784), and the death of King Charles III (1788).
The classes were taught by Gil, who also served as General Director, and other locally based artists, including the painter José de Alcíbar.
Within a year, Arias had died of an unspecified "mental illness" and the other three had written harshly critical letters to Antonio Ponz, Secretary of the academy.
He also translated Les proportions du Corps Humain, mesurées selon l´esthétique classique, by Gérard Audran, into Spanish.