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.
Textbooks on (simplicial) homotopy theory and (∞,1)-category theory with emphasis on tools from category theory and 2-category theory (via ∞-cosmoi and the homotopy 2-category of (∞,1)-categories):
Emily Riehl, Categorical Homotopy Theory, Cambridge University Press, 2014 (pdf, doi:10.1017/CBO9781107261457)
Emily Riehl, Dominic Verity, Elements of ∞-Category Theory, Cambridge studies in advanced mathematics 194, Cambridge University Press (2022) $[$doi:10.1017/9781108936880, ISBN:978-1-108-83798-9, pdf$]$
Survey of homotopy theory from homotopical categories to (∞,1)-categories:
A new proof of the Strøm model structure using algebraic weak factorization systems:
On transferred model structures and model structures on functors:
On (∞,1)-category theory via the homotopy 2-category of (∞,1)-categories (formal $(\infty,1)$-category theory):
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)
Emily Riehl, Dominic Verity, Infinity category theory from scratch, Higher Structures Vol 4, No 1 (2020) (arXiv:1608.05314, pdf)
Emily Riehl, The formal theory of ∞-categories, talk at Categories and Companions Symposium June 8–12, 2021 (video)
On (∞,1)-functors and (∞,1)-monads:
On the Yoneda lemma for (∞,1)-categories:
Last revised on May 8, 2022 at 03:14:53. See the history of this page for a list of all contributions to it.