Books

• Categorical Homotopy Theory, published in 2014 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 and in this blog post.

• Category Theory in Context, published in 2016 by Dover Publications in the Aurora: Modern Math Originals series.

  Once again, I am very grateful for a special arrangement with the publishers that allows me to host a free PDF copy. More information can be found on the book website and in this blog post.

• Elements of ∞-Category Theory, with Dominic Verity, published in 2022 by Cambridge University Press in their Cambridge Studies in Advanced Mathematics series.

  This material has been / will be published by Cambridge University Press as Elements of ∞-Category Theory by Emily Riehl and Dominic Verity. This pre-publication version is free to view and download for personal use only. Not for re-distribution, re-sale or use in derivative works. © Emily Riehl and Dominic Verity 2018-2021.

  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. We were honored to be recognized as the mathematics and statistics category winner in the 2023 PROSE awards from the Association of American Publishers.

  The original draft, which is no longer actively being edited, contained several additional chapters, which will re-appear later in a separate volume. Warning: improvements made to the primary text have not been propagated to this volume.

  The 2018 MIT Talbot workshop was on the same topic and various additional resources can be found on the conference website.

• Fat Chance: Probability from 0 to 1, with Benedict Gross and Joe Harris, published in 2019 by Cambridge University Press. I also led the ‘‘office hours’’ for the corresponding edX course.

Edited Volume

In Fall 2019, I hosted a weekend workshop entitled A conversation on professional norms in mathematics with the generous support of the National Science Foundation CAREER Grants Program and the Department of Mathematics at Johns Hopkins University.

Following that event, Mathilde Gerbelli-Gauthier, Pamela E. Harris, Michael A. Hill, Dagan Karp, and I produced an edited volume, published by the American Mathematical Society.

Thanks to a special arrangement from the publisher, the text of the manuscript is now available here:

• A Conversation on Professional Norms in Mathematics

After a short preface and introduction, the volume contains the following essays:

• “The Time for Miracles is Over” by William Yslas Vélez and Ana Christina Vélez
• “On toxic mentorship and the academic savior complex” by Pamela E. Harris
• “Todxs cuentan: building community and welcoming humanity from the first day of class” by Federico Ardila-Mantilla
• “Congressive Question Time” by Eugenia Cheng
• “Mathematics, We Have a Problem” by Michelle Manes
• “Fiber Bundles and Intersectional Feminism” by Dagan Karp
• “On Parameters for Communicating Mathematics” by Oliver Knill
• “Turning Coffee into Unions: Mathematicians and Collective Bargaining” by Denis R. Hirschfeldt
• “Universities in the time of climate change” by Izabella Łaba