Green founded the graphic novels collection in the Columbia University Libraries, while working as the Ancient and Medieval History librarian. She has acquired the papers of Chris Claremont, Wendy and Richard Pini, Al Jaffee, and the Kitchen Sink Press for Columbia's Rare Book and Manuscript Library, as well as items from the estate of Jerry Robinson and research materials from Larry Tye's history of Superman.

A former bartender, Green holds graduate degrees from Columbia University and Rutgers University. For four-and-a-half years, she wrote the "Comic Adventures in Academia" column for Comixology. She served as a Will Eisner Comics Industry Awards judge in 2011, a member of the jury for the Pulitzer Prize in Editorial Cartooning in 2014, serves as vice-president of the board of directors of the Society of Illustrators--and former trustee of the Museum of Comic and Cartoon Art, before its transfer to the Society--has taught and lectured on comics in academia, and curated the Fall 2014 exhibition, "Comics at Columbia: Past, Present, Future," in Columbia's Rare Book & Manuscript Library, where she is Columbia's first-ever Curator for Comics and Cartoons.