Martinez specializes in chamber music and he is the violist and founding member of the La Catrina Quartet, which has been hailed by Yo-Yo Ma as "wonderful ambassadors for music." He has performed in Germany, United Kingdom, Mexico, Chile, Colombia, Aruba, El Salvador, and all over the United States. Recent appearances include Carnegie Hall, Merkin Hall, and Symphony Space in New York City; Meany Hall World-Series in Seattle; Chicago Center for the Arts; UCLA Concert Series; Festival Internacional in Chihuahua, Mexico; Palacio de Bellas Artes and National Center for the Arts in Mexico City; San Miguel de Allende Music Festival and Festival Internacional Cervantino in Guanajuato, Mexico.
He has recorded over 10 albums. In 2012, he was a featured artist on the Latin Grammy Winning Recording of Seresta for Double Quartet by Brazilian composer Francisco Mignone with the Cuarteto Latinoamericano. During the same year, he was invited by the National Endowment for the Arts in Mexico to record the String Trio and the Sonata for Viola and Piano as part of the Moncayo Compilation Project. In 2014, he was nominated for another Latin Grammy for the recording of String Quartet No. 2 by Cuban Composer Yalil Guerra. He is currently nominated for a 2018 Latin Grammy for the recording of String Quartet No. 3 (In memoriam Ludwig van Beethoven) by the same composer.
Martinez is Associate Professor at the New Mexico State University Department of Music, principal violist of the Las Cruces Symphony and the San Antonio Chamber Orchestra, and he has a busy performing, conducting, and recording agenda.