Resources

If you're interested in learning more about the big ideas behind some topics related to my research, here are some resources I enjoy:

• • Higher Homotopy Groups Are Spooky by Evelyn Lamb, a nice intro to higher homotopy groups for a general mathy audience

  • Digital Neuroscientist of the Future, by Kathryn Hess, a great TEDx talk about a project in topological data analysis

  • PBS's Infinite Series videos had some great topology content for a broad audience (including multiplication of loops and associahedra)

If you're studying algebraic topology and/or category theory more in depth, you should know about:

• Tai-Danae Bradley's blog Math3ma, which helped a lot of concepts in category theory "click" for me

• Mike Hill's notes from a course in computational algebraic topology, which were the turning point for me from "I've read about spectral sequences" to "I can actually use a spectral sequence"

• Another great resource on spectral sequences that I wish was around when I was a grad student is Clover May's video lectures.

(I learned a lot from textbooks and papers in these areas too, but as they're more standard, I won't catalogue them here.)

Other people are also a tremendously important resource. I recommend the following resources for connecting with the algebraic topology community:

• The alg_top listserv sends out conference and workshop announcements (among other things like job postings)

• The Women in Topology network hosts workshops facilitating collaboration and mentorship for women and non-binary mathematicians

• SUBgroups connects first-year graduate students in math (not topology specific, but too cool not to share)