Here’s some basic information about the next big annual applied category theory conference — Applied Category Theory 2025 — and the school that goes along with that: the Adjoint School. James ...

A function is determined by its effect on elements. That is, define an element of a set S S as a function 1 → S \mathbf {1} \to S. Then whenever f, g: X → Y f, g:X \to Y with fx = gx f x = g x for all ...

In Part 4, I presented a nifty result supporting my claim that classical statistical mechanics reduces to thermodynamics when Boltzmann’s constant k k approaches zero. I used a lot of physics jargon ...

Hopefully, you didn’t notice, but Golem V has been replaced. Superficially, the new machine looks pretty much like the old. It’s another Mac Mini, with an (8-core) Apple Silicon M2 chip (instead of a ...

Earlier this month the Mathematics Institute at Uppsala University hosted a conference called Categorification in Algebra and Topology, clearly a theme close to our collective heart. As yet there are ...

Aug 1, 2010 A workshop on differential characters and Deligne cohomology. Cobordism and Topological Field Theories Week 5 Dec 7, 2009 Week 5 of the cobordism and TFT seminar gives a short history of ...

Dec 18, 2019 We can use groupoid cardinality to compute the moments of this random variable: the number of cycles of length k in a random permutation of an n-element set. Classifying by Generalizing: ...

I’m teaching Edinburgh’s undergraduate Axiomatic Set Theory course, and the axioms we’re using are Lawvere’s Elementary Theory of the Category of Sets — with the twist that everything’s going to be ...

I’m trying to work out how classical statistical mechanics can reduce to thermodynamics in a certain limit. I sketched out the game plan in Part 1 but there are a lot of details to hammer out. While I ...

In Part 1, I explained my hopes that classical statistical mechanics reduces to thermodynamics in the limit where Boltzmann’s constant k k approaches zero. In Part 2, I explained exactly what I mean ...