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Tim Hosgood

@thosgood@mathstodon.xyz
mastodon 4.7.2
  • Open on mathstodon.xyz

"mathematician" | Topos Institute, Oxford

464 Followers
127 Following
9 Posts
Joined October 04, 2019
website:
https://thosgood.net
pronouns:
he/him
Open post
Tim Hosgood @thosgood@mathstodon.xyz
· 6mo ago

nearly three years later, and https://arxiv.org/abs/2308.09627 has just been accepted for publication! coming soon to a Higher Structures near you

Simplicial presheaves of Green complexes and twisting cochains
arXiv.org

Simplicial presheaves of Green complexes and twisting cochains

We construct three simplicial presheaves on the site of ringed spaces, and in particular on that of complex manifolds. The descent objects for these simplicial presheaves yield Toledo--Tong's twisting cochains, simplicial twisting cochains, and complexes that appear in Green's thesis on Chern classes for coherent analytic sheaves, respectively. We thus extend the aforementioned constructions to the equivariant setting, and more generally to stacks. This is the first step in achieving push-forwar

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Open post
Tim Hosgood @thosgood@mathstodon.xyz
· 6mo ago

"you should not accuse me of AI psychosis, because I spent two years at oxford" is a statement so utterly infuriating that it has made me subtoot for the first time in forever

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Open post
Tim Hosgood @thosgood@mathstodon.xyz
· 6mo ago

it's actually very fun getting to learn about double categorical logic and then write code that makes things on the computer go whirrr

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Open post
Tim Hosgood @thosgood@mathstodon.xyz
· 6mo ago
Replying to
@julesh @cbaberle but you care about things like trees, which correspond to solutions to T=1+T², which is a polynomial ;-)
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Open post
Tim Hosgood @thosgood@mathstodon.xyz
· 6mo ago

also really got into puzzle games again recently, which is great because they're fun and terrible because i am so easily stumped. but Öoo is a strong contender for my favourite short puzzle game ever (also the name is a picture of the character. wow.)

https://en.wikipedia.org/wiki/Öoo

Öoo - Wikipedia
en.wikipedia.org

Öoo - Wikipedia

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Open post
Tim Hosgood @thosgood@mathstodon.xyz
· 6mo ago

new year new job

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Open post
Tim Hosgood @thosgood@mathstodon.xyz
· 6mo ago
Replying to
@julesh @cbaberle a polynomial functor is just a 2-cell in the derived category of categories, where lenses can also be recovered as the k-projective objects (source: it looks true if you squint)
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Open post
Tim Hosgood @thosgood@mathstodon.xyz
· 6mo ago
Replying to
@cbaberle @jcreed @johncarlosbaez @dwarn i put this on my reading list for coffee break tomorrow, thanks for the tag!
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Open post
Tim Hosgood @thosgood@mathstodon.xyz
· 38mo ago
Replying to
@littmath@mathstodon.xyz very fun thread, thanks!
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