Four others were wounded in a rampage police said was motivated by Reza's disgust over a domestic violence dispute involving the girlfriend.
Police Chief Ray Schultz said no other names will be released before Tuesday.
Reza confronted the girlfriend outside the fiber optics and solar manufacturing plant in Albuquerque, and his rampage continued inside, Schultz said. She was hospitalized in critical condition with gunshot wounds.
Schultz said the woman had told co-workers she planned to report domestic violence to authorities.