Krier's teaching and research interests include Medieval and Renaissance literature, especially poetry, Shakespeare, ancient Greek and Roman poetry and myth, feminist and gender theory and psychoanalytic theory. Until recently she was editor of the journal The Spenser Review and continues to organize an occasional series of short articles on the careers of women scholars of medieval and Renaissance literature. Krier came to Macalester after two decades at the University of Notre Dame. She is the author of Birth Passages: Maternity and Nostalgia, Antiquity to Shakespeare, Luce Irigaray and Premodern Culture: Thresholds of History (a co-edited collection, with Elizabeth D. Harvey), Gazing on Secret Sights: Spenser, Classical Imitation, and the Decorums of Vision and Refiguring Chaucer in the Renaissance (an edited collection of essays).
Review of Environment and Embodiment in Early Modern England, Shakespeare Studies (2009)
Generations of blazons: psychoanalysis and the song of songs in the Amoretti., Texas Studies in Literature and Language (1998)
The Mysteries of the Muses: Spenser's Faerie Queene, II.3 and the Epic Tradition of the Goddess Observed., Spenser Studies (1986)
Contributions to Books
Edmund Spenser, The Virgil Encyclopedia (2013)