[1] As a high school student, Groszek felt isolated for her interest in mathematics, but she found a sense of community through her participation in the Hampshire College Summer Mathematics Program,[2] and she went on to earn her bachelor's degree at Hampshire College.
Her dissertation, Iterated Perfect Set Forcing and Degrees of Constructibility, was supervised by Akihiro Kanamori.
[3] With Theodore Slaman, Groszek showed that (if they exist at all) non-constructible real numbers must be widespread, in the sense that every perfect set contains one of them, and they asked analogous questions of the non-computable real numbers.
[5][B] Groszek was program chair of the 2014 North American annual meeting of the Association for Symbolic Logic.
[8] With mathematics colleague Dorothy Wallace and performance artist Josh Kornbluth, Groszek has also helped write and produce a sequence of educational videos about mathematics.