Emily Riehl

eriehl at math dot jhu dot edu

Johns Hopkins University
Department of Mathematics
3400 N. Charles Street
Baltimore, MD 21218

312 Krieger Hall

New Research Exposition Talks Teaching
I am an assistant professor in the department of mathematics at Johns Hopkins University working on a variety of topics in category theory related to homotopy theory. I am a member of the editorial boards for Cahiers de Topologie et Géométrie Différentielle Catégoriques, Homology, Homotopy, and Applications, and the Journal of Homotopy and Related Structures. I organize the Johns Hopkins Category Theory Seminar, which is running in pilot version. There is a rapidly expanding group of PhD students interested in categorical topics. If you are interested in joining us, more information about graduate admissions can be found here.

I am the author of Categorical Homotopy Theory, published by Cambridge University Press in their New Mathematical Monographs series. (This material has been published by Cambridge University Press as Categorical Homotopy Theory by Emily Riehl. This version is free to view and download for personal use only. Not for re-distribution, re-sale or use in derivative works. © Emily Riehl 2014.) I am grateful to them for a special arrangement that also allows me to host a free PDF copy with the preceding disclaimer. More information can be found on the book website.

I am also the author of Category Theory in Context, published by Dover Publications in the Aurora: Modern Math Originals series. Once again, I am very grateful for a special arrangment with the publishers that allows me to host a free PDF copy. More information can be found on the book website.

From 2011-2015, I was a Benjamin Peirce and NSF postdoctoral fellow at Harvard University. In 2011, I completed my PhD at the University of Chicago under the direction of Peter May. I frequently collaborate with Dominic Verity at the Centre of Austrlian Category Theory. I am a host of the n-Category Café and founder of the Kan Extension Seminar, now in its second iteration. I spent the spring of 2014 at MSRI as a member of the program on Algebraic Topology, the summer of 2015 at the Hausdorff Institute of Mathematics as a participant in the Homotopy theory, manifolds, and field theories program, and part of the winter of 2016 at the Max Planck Institute for Mathematics as part of the Program on Higher Structures in Geometry and Physics. Here is my CV.






∞-categories Homotopy type theory New model structures Algebraic model structures Reedy categories Miscellaneous  


Formal writing: Miscellaneous mathematical notes: n-Category Café posts:  


Research lecture notes: Slides: Video: General audience: University of Chicago Topology Proseminar lecture notes: (written hastily with little editing)  


Johns Hopkins: Harvard: