Neeman won a
CAREER Award in 2001. He was an invited speaker at the
International Congress of Mathematicians in 2006. In 2012, the
Simons Foundation named Neeman as one of their Simons Fellows, in the inaugural year of the Simons Fellows program. In 2019 he was awarded the
Hausdorff Medal, by the European Set Theory Society. The award cited three of his papers for their work on "iterating forcing using side conditions and the tree property" as having been the most significant contribution to set theory in the previous five years. ==Selected publications==