A short blog post today inspired by a conversation I had with Clark Barwick at #CT2025. I asked why the homotopy groups of spheres are so complicated and his answer was the perfect kind of obvious to make me refocus my thoughts on lots of other things I know!
https://grossack.site/2025/07/20/free-things-are-complicated
The collection of virtual double categories forms a virtual triple category.
The book of abstracts for talks at this year's Category Theory conference is available!
https://conference.math.muni.cz/ct2025/data/uploads/book_of_abstracts.pdf
Rohit Sharma lost his tenth consecutive toss in ODIs when the coin landed in favour of New Zealand in Dubai. Brian Lara and Peter Borren are the only other captains to have endured an even unluckier streak in the format. Although Mitchell Santner’s decision to bowl first did act as a soothing balm, for the …