As a fun treat, because it’s something I’ve long wanted to do, I’ve been taking Arabic classes once a week during term times. In lieu of any mathematical updates, I’m using this blog post as an excuse to do some revision before classes start again next month. Today is nominal sentences. I doubt this will be a particularly useful resource to anybody else (and hopefully it’s very clear that I’m a very beginner beginner), since it’s not a tutorial so much as a collection of my random class notes. But 2026 is the year of not worrying about such things when it comes to stuff I do in my spare time.

I managed to forget to write a blog post for the entirety of 2024 — wow! Let’s see if I can zip through some things that have happened in the past 14 months.

Briefly: two very short translations concerning geometry, and the final two seminars of FGA (thus finishing a complete first draft of the entire FGA seminar series).

Hopefully one of my co-authors and I will be uploading a long-awaited preprint on dg-categories, twisting cochains, and homotopy limits to the arXiv “soon”. Until then, here are the small handful of translations that I’ve finished in the year since I last wrote

I haven’t blogged about it in a while, but I’ve been working on just making my translations a bit better, both in terms of content and accessibility. Let’s have a look at what I’ve done, shall we?

I’ve had a bit of free time during various quarantines and lockdowns as of late, so I’ve been able to do some more translations. Here’s a quick summary of what I’ve uploaded to thosgood.net/translations recently, as well as what I’m now working on.

I’ve been having quite a bit of fun translating some maths papers into English recently. Of course, I’m still chugging away at the EGA translation project, having just finished another section of EGA II, leaving “only” about 60 pages left before that chapter will be done as well! However, I’ve started putting some of my other translations all together, and they can now be found at https://thosgood.net/translations. There are a lot still in progress, but here’s a summary of what I’ve done so far.

Being unable to ever properly finish any project that I start, but loving starting new projects, has made getting around to typing up this blog post quite an effort. Not only that, but it’s also unsatisfying to me how much I’ve failed to understand the categorical framework behind my translation project, so it’s mildly intimidating (to say the least) to present this stuff to the whole internet (although, in actuality, it’s really just to the one (mabye two) reader(s) of this blog), but I’m doing so in the hopes that somebody who actually knows about this sort of applied category theory can help me get somewhat closer to a solid understanding.