One of those days where a concept that’s been eluding me for a long time just * clicked. * This time it was Poincaré’s paper on the Euler-Poincaré equations of mechanics: https://shiraz-k.com/posts/ep/

It's not asylum seekers who jack up rents, undermine the NHS, hold down wages and keep people insecure. It's capital. The role of the far right is to shift the blame for decades of economic attacks by the rich and powerful onto powerless people who have only just arrived here.

Has anyone figured out how to draw commutative diagrams with diagonal arrows easily in #mathjax? Lmk!

“In the more tranquil past, I myself was content to largely focus on technical or personal aspects of my own research, teaching, and mentoring, and leave the broader political debate and activism to others; but in our current environment, when even the most benign activities are subject to […]

We really should get comfortable making things “act from the right” in math notation. e.g. pullbacks would look more like pushforwards (if both act from different sides), domains and codomains in function composition are more intuitive, right group actions are more closely aligned with our usual […]

Wrote a bit about the differentials of the exp and log maps of a Lie group https://shiraz-k.com/posts/lemmas/

But here’s a fact,

I think of group actions as some sort of a workforce and the space they act on as a factory floor. Makes it easier to remember what 'free' 'effective' etc. mean

My notes on Hamiltonian mechanics and symplectic geometry: https://shiraz-k.com/posts/symplectic/