Emily Riehl

I am an Assistant Professor in the Department of Mathematics at Johns Hopkins University.

My webpage can be found here.

An introductory category theory textbook for beginning graduate students or advanced undergraduates with an emphasis on applications of categorical concepts to a variety of areas of mathematics.

A textbook on (simplicial) homotopy theory and (∞,1)-category theory with emphasis on tools from category theory and 2-category theory:

- Emily Riehl,
*Categorical Homotopy Theory*, Cambridge University Press, 2014 (pdf, doi:10.1017/CBO9781107261457)

On transferred model structures and model structures on functors:

- Marzieh Bayeh, Kathryn Hess, Varvara Karpova, Magdalena Kędziorek, Emily Riehl, Brooke Shipley,
*Left-induced model structures and diagram categories*(arXiv:1401.3651)

On (∞,1)-category theory via the homotopy 2-category of (∞,1)-categories:

- Emily Riehl, Dominic Verity,
*The 2-category theory of quasi-categories*, Advances in Mathematics Volume 280, 6 August 2015, Pages 549-642 (arXiv:1306.5144, doi:10.1016/j.aim.2015.04.021),

On (∞,1)-functors and (∞,1)-monads:

- Emily Riehl, Dominic Verity,
*Homotopy coherent adjunctions and the formal theory of monads*, Advances in Mathematics, Volume 286, 2 January 2016, Pages 802-888 (arXiv:1310.8279, doi:10.1016/j.aim.2015.09.011)

On the Yoneda lemma for (∞,1)-categories:

- Emily Riehl, Dominic Verity,
*Fibrations and Yoneda’s lemma in an $\infty$-cosmos*, Journal of Pure and Applied Algebra Volume 221, Issue 3, March 2017, Pages 499-564 (arXiv:1506.05500, doi:10.1016/j.jpaa.2016.07.003)

category: people

Last revised on January 22, 2021 at 05:42:08. See the history of this page for a list of all contributions to it.