Molesworth was the Chief Curator at The Museum of Contemporary Art (MOCA), Los Angeles from 2014-2018. While at MOCA, she organized the large group show “One Day at a Time: Manny Farber and Termite Art” and the critically acclaimed Kerry James Marshall and Anna Maria Maiolino exhibitions. From 2010—2014 she was the Barbara Lee Chief Curator at the Institute of Contemporary Art (ICA) Boston, where she assembled exhibitions of artists Steve Locke, Catherine Opie, Josiah McElheny and Amy Sillman, and the group exhibitions “Leap Before You Look: Black Mountain College 1933—1957”, “Dance/Draw”, and “This Will Have Been: Art, Love & Politics in the 1980s”. Her writing has appeared in publications such as Artforum, Art Journal, Documents, and October.
Molesworth is currently working on a series of podcasts about post-war women artists for the Getty Research Institute and writing a memoir. She was named curator-in-residence at the Anderson Ranch Arts Center in April 2019.