What we're about

NYC Category Theory and Algebra is a group for people interested in studying Category Theory (CT) and/or Abstract Algebra together.

One of our purposes is to meet and read basic texts in Category Theory. We are currently reading Conceptual Mathematics by William Lawvere in reading group A and Categories in Context by Emily Riehl in reading group B. Next we'll read Awody's text or tackle MacLane's Categories for the Working Mathematician or Borceux's books. We'll also continue doing reading groups on introductory texts for newcomers.

Our other purpose will be to explore applied CT with texts including Category Theory for the Sciences by David Spivak, An Invitation to Applied Category Theory by Spivak and Brendan Fong, Tool and Object by Ralph Kromer, Picturing Quantum Processes by Koecke and Kissinger, to name a few. We'll be working on exercises together so we can build a useful foundation in applied CT together.

Likewise, for topics in Abstract Algebra.

My personal interest is in applying Category Theory / Algebra to Consciousness Science, but the group is open to any and all topics. Suggestions for applied topics are always welcome!

If you'd like to join our Slack Workspace to chat about Category Theory and post resources, message me with your email address. I'll invite you.

Upcoming events (1)

(12PM EDT) Algebraic Topology #22

Needs a location

In this meeting series, we're reading through Allen Hatcher's Algebraic Topology book.

There is a lecture series on Youtube from Pierre Albin using this book

You may find NJ Wildberger's lecture series helpful too

ThoughtSpaceZero's video on basis for a topology

Discord https://discord.gg/jMTs5gmVRj

Please keep working on chapter 1 and try out exercise 17 from section 1.3. Next time we will work on 1.37, 1.38, and then group action on fiber of covering map.

Notes can be found at
in Stylus Lab http://www.styluslabs.com/
(Browser won't trigger "Save as" dialog when clicking Download button so you need to right click and "Save link as".)

If you've done any exercises or have organized talk on topics related to category theory, feel free to present during the meeting.

Past events (139)

(12PM EDT) Algebraic Topology #21

This event has passed

Photos (12)