Emily Riehl
Assistant Professor, Department of Mathematics, Johns Hopkins University

Emily Riehl is an assistant professor in the department of mathematics at Johns Hopkins University. She earned her AB from Harvard College in 2006, a Masters of Advanced Study in Mathematics from Cambridge University in 2007, and her PhD from the University of Chicago in 2011. From 2011-2015, she was a Benjamin Peirce and NSF Postdoctoral Fellow in the department of mathematics at Harvard University. Her research speciality is category theory, the "mathematics of mathematics," which studies very general paradigms of mathematical proof that apply simultaneously in many different contexts. In particular, she has worked to develop the foundational theory of infinite-dimensional categories, which are inhabited by objects whose transformations may be related by "homotopies," which themselves may be related by "higher homotopies," and so on ad infinitum. In addition to roughly two dozen research papers, mostly written in collaboration, she is the author of two advanced mathematics textbooks Categorical Homotopy Theory (Cambridge University Press 2014) and Categorical Homotopy Theory (Dover 2016) and can be found on YouTube giving lectures on the stable marriage problem.

Courses by this faculty member