She has been an author and coordinator of various geographic linguistics projects: for example, the Atlas lingüístico (y etnográfico) de Castilla – La Mancha (ALECMan), with Francisco Moreno or the coordination of the publication of the Linguistic Atlas of the Iberian Peninsula.
She was also responsible for the collection Biblioteca Románica Hispánica by the publisher Gredos, from 1989 to 2005 and is a member of the editorial board of numerous journals.
She has also exercised various managerial roles in the Spanish National Research Council and is a member of various evaluation agencies like the ANEP (Agencia Nacional de Evaluación y Prospectiva).
García Mouton works on science outreach activities, like Palabras moribundas, a segment of the Radio Nacional de España program No es un día cualquiera which she has hosted since 2007.
In 2015 she co-directed an exposition in honor of the 100th anniversary of the Revista de Filología Española (RFE).