Matthew Cushman's Avatar

Matthew Cushman

@astragalus

Adjunct math prof at Hunter College in NYC. Lefty. Kindness is the only thing that matters.

2,072
Followers
1,301
Following
618
Posts
31.07.2023
Joined
Posts Following

Latest posts by Matthew Cushman @astragalus

Lol Reihan isn't muslim I went to high school with him

10.03.2026 14:06 πŸ‘ 12 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0

The Left shouldn't unleash armies of giant fire-breathing ants

10.03.2026 02:23 πŸ‘ 1 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0

someone at the pentagon frantically typing β€œClaude, open the strait of Hormuz for me, quickest possible strategy, make no mistakes.”

09.03.2026 04:33 πŸ‘ 7992 πŸ” 1224 πŸ’¬ 161 πŸ“Œ 64
Preview
Left-exact Localizations of $\infty$-Topoi I: Higher Sheaves We are developing tools for working with arbitrary left-exact localizations of $\infty$-topoi. We introduce a notion of higher sheaf with respect to an arbitrary set of maps $Ξ£$ in an $\infty$-topos $...

There's a cool way of thinking about a Grothendieck topology as analogous to (a generating set for) an ideal. You think of the category of presheaves as analogous to a polynomial ring, and passing to sheaves is like quotienting by the ideal. Full story in this paper series arxiv.org/abs/2101.02791

08.03.2026 22:40 πŸ‘ 2 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0

Yes - of course you are welcome! It's kinda the blind leading the blind though because we're all still beginners when it comes to infinity categories. I will pm you a link to the algebraic topology discord where we have a channel ("infinity category learning") with the zoom info in it.

07.03.2026 19:10 πŸ‘ 3 πŸ” 0 πŸ’¬ 0 πŸ“Œ 1

Yes! It got rereleased a few years ago and you can get a paperback copy for like 50 bucks. Actually I emailed his wife (he had passed away) because I was so obsessed with the book and apparently there is a ton of more stuff that never got printed. I hope someone can make that happen.

07.03.2026 19:05 πŸ‘ 3 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0
Post image

I have a zoom group with a buncha nerds who left academia. We've been meeting every Sunday for years and we're currently reading Higher Algebra. Being a mathematician is not the same as being an academic! There is definitely a need for awesome math tattoos! I would get this one by George K. Francis

07.03.2026 18:53 πŸ‘ 4 πŸ” 0 πŸ’¬ 1 πŸ“Œ 0
Preview
The Most Chilling Detail in the U.S. Attack on an Iranian Naval Ship The Iranian warship was taking part in an international exercise with many other countriesβ€”including the United States.

This is a chilling crime. A shame on our country. The Iranian ship was unarmed. The US knew this. The sailors were murdered by our navy, and the survivors were left to die at sea.
newrepublic.com/post/207429/...

06.03.2026 12:29 πŸ‘ 9858 πŸ” 4703 πŸ’¬ 559 πŸ“Œ 636

I'm one of those! I yearn for my ancestral homeland, half-Korea

03.03.2026 21:35 πŸ‘ 3 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0
Iran is mountainous

Iran is mountainous

OpenAI led ground invasion of a place whose terrain looks like this will surely be a great success

02.03.2026 18:50 πŸ‘ 1158 πŸ” 129 πŸ’¬ 52 πŸ“Œ 14

SCIF now stands for β€œSome Curtains In Front”

01.03.2026 01:39 πŸ‘ 1714 πŸ” 269 πŸ’¬ 18 πŸ“Œ 4
Tweet on X by Amir Kiyae reads: 

Strikes on Iran appear to have hit the home where opposition leaders Mir-Hossein Mousavi and Zahra Rahnavard have been held under house arrest - both are reported safe, but their residence was damaged. Former President Ahmadineiad's home was also targeted. Israel has stated it is targeting Iranian leaders "past, present, and future." This follows previous Israeli strikes on Evin Prison. Draw your own conclusions,

Tweet on X by Amir Kiyae reads: Strikes on Iran appear to have hit the home where opposition leaders Mir-Hossein Mousavi and Zahra Rahnavard have been held under house arrest - both are reported safe, but their residence was damaged. Former President Ahmadineiad's home was also targeted. Israel has stated it is targeting Iranian leaders "past, present, and future." This follows previous Israeli strikes on Evin Prison. Draw your own conclusions,

Home of reformist opposition leaders from 2009 Green Movement, Mir-Hossein Mousavi and Zahra Rahnavard was also hit by Israeli/US strikes. They have been under house arrest by the regime for over a decade.

28.02.2026 21:53 πŸ‘ 1389 πŸ” 562 πŸ’¬ 17 πŸ“Œ 111
Video thumbnail

BREAKING β€” 51 Iranian children are dead after a strike hits Minab girls elementary school in Iran.

28.02.2026 12:33 πŸ‘ 3121 πŸ” 2018 πŸ’¬ 162 πŸ“Œ 744
Palestinian villagers - a man, a woman and a baby, and a young child, raising holding their hands in the air, probably as they are forced to leave their village. Photograph taken by a Israeli soldier. Source: Haaretz/Akevot

Palestinian villagers - a man, a woman and a baby, and a young child, raising holding their hands in the air, probably as they are forced to leave their village. Photograph taken by a Israeli soldier. Source: Haaretz/Akevot

Haaretz @haaretzcom.bsky.social with Akevot @akevabanshee.bsky.social report on a trove of archival documents, with granular detail on atrocities committed in the 1948 Nakba. Ground level documentation by soldiers demonstrate the pervasive nature of murder and expulsion of Palestinian civilians.

27.02.2026 09:56 πŸ‘ 97 πŸ” 52 πŸ’¬ 3 πŸ“Œ 6

I guess this is related to the fact that you run into cohomology naturally when studying infinitesimal deformations? I know that Goodwillie calculus gives a sense in which (parameterized) spectra form tangent spaces to an infinity topos. Does this specialize to deformation theory?

26.02.2026 17:34 πŸ‘ 2 πŸ” 0 πŸ’¬ 1 πŸ“Œ 0

Ah Deutsche Bank. Its reputation for sleaze is so well-deserved.

26.02.2026 01:52 πŸ‘ 1 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0

Maybe it has something to do with the way things are structured into generic/robust phenomena vs degenerate/perturbation-unstable phenomena. I'm thinking about eg intersection theory and how passing to cohomology is like assuming transversality of intersecting representatives

25.02.2026 16:28 πŸ‘ 6 πŸ” 0 πŸ’¬ 1 πŸ“Œ 0
Video thumbnail

very important video please watch

23.02.2026 20:11 πŸ‘ 7400 πŸ” 2611 πŸ’¬ 129 πŸ“Œ 265
Video thumbnail

One of the greatest bollard walks in history.
#WorldBollardAssociation

22.02.2026 13:23 πŸ‘ 5581 πŸ” 1253 πŸ’¬ 72 πŸ“Œ 109

Linear algebra is a psyop by Big Field to make people think all modules are free

20.02.2026 20:37 πŸ‘ 10 πŸ” 1 πŸ’¬ 0 πŸ“Œ 0
19.02.2026 13:10 πŸ‘ 3015 πŸ” 822 πŸ’¬ 28 πŸ“Œ 17

Try being murdered lol

18.02.2026 18:22 πŸ‘ 1 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0
Preview
Turkish Lentil Soup (Mercimek Γ‡orbasΔ±) Turkish Red Lentil Soup (KΔ±rmΔ±zΔ± Mercimek Γ‡orbasΔ±) is velvety, comforting, and nutritious! Plus, it’s so easy to make with lentils, veggies, and spices!

Hah! I literally just made the lentil soup (which I have been thinking about since I got back from Turkey lol). Here's the recipe I used. I'm eating it right now and it tastes exactly the same. I found the pul biber at whole foods ("silk chili") www.themediterraneandish.com/turkish-lent...

16.02.2026 00:26 πŸ‘ 4 πŸ” 0 πŸ’¬ 2 πŸ“Œ 0
a drawing of a head shown in different positions. a lot of them. i mean a lot

a drawing of a head shown in different positions. a lot of them. i mean a lot

learn how to draw heads with the loomis method then apply it by doing something like this in your preferred style. you will Learn

14.02.2026 21:55 πŸ‘ 447 πŸ” 67 πŸ’¬ 6 πŸ“Œ 4

well i for one couldn’t be more excited for the possibilities of AI. finally a technology that answers the age old question β€˜what if clippy was wormtongue’

12.02.2026 13:10 πŸ‘ 2551 πŸ” 544 πŸ’¬ 15 πŸ“Œ 6

discord: please verify your age

me: *lets out a sigh that seems to crawl out of my lungs rather than be exhaled, dense with fatigue, disappointment, so profoundly Gen X it practically hums with the ghosts of mixtapes, dial-up modems, and being told to β€œjust deal with it”*

discord: age verified

10.02.2026 13:37 πŸ‘ 130 πŸ” 40 πŸ’¬ 2 πŸ“Œ 1
Video thumbnail

Hunderfossen Adventure Park in Norway (Rauraggen)

10.02.2026 04:25 πŸ‘ 654 πŸ” 141 πŸ’¬ 25 πŸ“Œ 74
A musician playing a guitar in sugarcane that is somehow in the middle of a football field

A musician playing a guitar in sugarcane that is somehow in the middle of a football field

First shot: sugarcane

The backbone of Puerto Rico's agricultural economy since colonial times

Still used to make rum of course!

09.02.2026 02:33 πŸ‘ 3626 πŸ” 629 πŸ’¬ 35 πŸ“Œ 284
Post image

The Sermon on the Mount, by Beryl Lewis, before 1965, πŸ“Έ by @ScottStrazzante

09.02.2026 02:16 πŸ‘ 12000 πŸ” 2659 πŸ’¬ 58 πŸ“Œ 63

Exit polls show socialist Antonio Jose Seguro has crushed the Far Right candidate Andre Ventura in Portugal’s presidential runoff.

08.02.2026 20:20 πŸ‘ 2659 πŸ” 518 πŸ’¬ 88 πŸ“Œ 35