Blog
This blog is a collection of reading notes of things that I try to learn. Often they are nothing more than summaries of various pages on the nLab, but collated, (over)simplified, and reordered to be more easily understood by, e.g., me. There will almost certainly be mistakes and bad viewpoints, so caveat lector.

Skomer island
I haven’t posted anything in a while, and rather than trying to write about maths, I wanted to just share some lovely photos of Skomer island (which I recently visited). I am even less knowledgeable about birds than I am about maths, but I do love them, and this was the first time in my life that I’d actually seen a puffin in the flesh!
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Twisting cochains and arbitrary dgcategories
Having recently been thinking about twisting cochains (a major part of my thesis) a bit more, I think I better understand one reason why they are very useful (and why they were first introduced by Bondal and Kapranov), and that’s in ‘fixing’ a small quirk about dgcategories that I didn’t quite understand way back when I wrote this post about derived, dg, and $A_\infty$categories and their role in ‘homotopy things’.
This isn’t a long post and could probably instead be a tweet but then this blog would be a veritable ghost town.
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Torsors and principal bundles
I haven't posted anything in forever, and one of my supervisor's strong pedagogical beliefs is that 'affine vector spaces should be understood as $G$torsors, where $G$ is the underlying vector space acting via translation', which makes a nice short topic of discussion, whence this post.Continue reading ⇾

categorytheory 
algebraictopology 
spectra 
operads 
quicktip 
quantumphysics 
quantumcomputing 
homotopytheory 
bundles 
birds
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