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She has received a number of prestigious awards including a Fulbright for research in Maranhão, São Paulo, and Rio de Janeiro, Brazil a Joan Mitchell Foundation MFA Grant, a New York Foundation for the Arts Fellowship, an Art Matters Grant and has been an artist-in-residence at the Newark Museum, University at Buffalo, Yaddo, Sculpture Space and Dieu Donne Papermill.
Fraser has received fellowships from Art Matters Inc., the Franklin Furnace Fund for Performance Art, the National Endowment for the Arts, and Anonymous Was a Woman, and New York Foundation for the Arts.
Thornton has received many awards in the field: the Maya Deren Award, the first Alpert Award in the Arts for media, a nomination for the Hugo Boss Award, two Rockefeller Fellowships, grants from the National Endowment for the Arts, New York State Council on the Arts, New York Foundation for the Arts, Jerome Foundation and, Art Matters, and, most recently, a Guggenheim Fellowship.
He has received a number of prestigious grants and awards, including the Giverny Residency (1998), the Rome Prize at the American Academy (1995–96), National Endowment for the Arts (1996), Pollock-Krasner Foundation (1995) and Art Matters Inc. (1991).