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 $\infty$-Category Theory (2021) (pdf)
Survey of homotopy theory from homotopical categories to (∞,1)-categories:
On transferred model structures and model structures on functors:
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)
Emily Riehl, Dominic Verity, Infinity category theory from scratch, Higher Structures Vol 4, No 1 (2020) (arXiv:1608.05314, pdf)
On (∞,1)-functors and (∞,1)-monads:
On the Yoneda lemma for (∞,1)-categories:
Last revised on June 10, 2021 at 08:58:25. See the history of this page for a list of all contributions to it.