In early 2013, he was presented with one of the 2011 National Medals of Science by President Barack Obama.
In 1978 Gabber received a Ph.D. (Some theorems on Azumaya algebras) under the supervision of Barry Mazur from Harvard University.
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She delivered her Arnold Ross Lecture on October 29, 2009, an honor previously conferred on Barry Mazur, Elwyn Berlekamp, Ken Ribet, Manjul Bhargava, David Kelly and Paul Sally.