Britton's scholarship focuses on women and politics, gender and African politics, the prevention of gender-based violence, and human trafficking. Britton is also the Director of the Center for the Study of Injustice at the Institute of Policy & Social Research at the University of Kansas. In this role, she coordinates KU's Anti-Slavery and Human Trafficking Initiative (ASHTI), which is a working group of faculty and students engaged in teaching and research about slavery, labor exploitation, and commercial sexual exploitation. She is the lead researcher on a project in the Midwest examining the factors that may leave someone vulnerable to exploitation. Hannah also coordinates a working group of faculty and graduate students using qualitative research methods in their teaching and scholarship.