Professor Mundy specializes in Latin American art with particular emphasis on indigenous art and cartography of the 16th century. Her latest book, The Death of Aztec Tenochtitlan, the Life of Mexico City (University of Texas, 2015), centers on Tenochtitlan-Mexico City and its transformation from the sacred capital of the Aztecs into the center of Spain's overseas empire. It was recipient of the 2017 Bryce Wood Book Award from the Latin American Studies Association (LASA), awarded to an outstanding book on Latin America in the social sciences and humanities published in English. It also received the 2015 Arvey award from the Association of Latin American Art for the year's best book on Latin American art history, and received the LASA Colonial section book award in 2016.

Her first book, The Mapping of New Spain: Indigenous Cartography and the Maps of the Relaciones Geográficas (University of Chicago Press, 1996) was winner of the 1996 Nebenzahl Prize in the History of Cartography.  Her work on cartography has continued with a co-edited volume, Painting a Map of Sixteenth-Century Mexico City: Land, Writing and Native Rule (Yale/Beinecke Library, 2012), which sheds light on a rare map of Mexico City, and includes the most extensive scientific analysis of any New World manuscript to date. 

Professor Mundy's interest in digital humanities has resulted in a pioneering work, Vistas: Visual Culture in Spanish America, 1520-1820, that was co-authored with Dana Leibsohn and funded by an N.E.H. digital development and demonstration grant (2000-03). First published in DVD format by the University of Texas Press in 2010, in 2015, it is now accessible online www.fordham.edu/vistas.

For the 2015-16 academic year, Professor Mundy is a Senior Fellow at the National Gallery of Art in Washington, D.C. where she was at work on a book about the reception of the European book by indigenous artists of the New World.