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"Pessimism of the Algebra, optimism of the Geometry"
We often talk about big leaps in AI for mathematics, but I think the small steps are equally impressive. The future of mathematics is now. I was working on a particular task: finding a case-free proof of the representability of the local Néron function correction using a…
Drop a manga panel that left you speechless? 🌱🌿
Stanford mathematician Ravi Vakil, president of the American Mathematical Society, expects AI’s impact on mathematics to come as a phase change, not a slow climb. Every major shift in math has caught experts off guard, he says. This one will be no different, except that all our…
Confused by this. You can have safety standards without centralizing AGI development!
Vague statements like this, which fundamentally cannot be operationalized in policy but feel nice to sign, are counterproductive and silly. Just as they were two or so years ago, when we went through another cycle of nebulous AI-statement-signing. Let’s set aside the total lack…
You know what? Make him the detective anyway.
Turns out the viral Louvre "detective" was just a rando walking around
Yeah, that's how rockets work.
How does training data shape model behavior? Well, it’s complicated… 1/10
The lesson here is that for academics to consider you indigenous you have to utterly exterminate whoever was there before you. That’s the only way it makes sense not to consider the Japanese indigenous after 3000 years They’d be indigenous if they killed every minority in 1825
Map of the World's Indigenous Peoples. Designed by Bhabna Banerjee and published by Visual Capitalist, based on data from the International Work Group for Indigenous Affairs (IWGIA) and World Bank (2010–2022).
In today's version of this: OpenAI is going to have a web browser. But, unlike Chrome or Firefox or Safari, they're going to have a person (i.e., an AI) personally watch everything you (and your friends and everyone else) do. Doesn't that sound great?
In 2012 I participated in a small group discussion led by @doctorow. I chanced into it, but he painted a picture I've thought about often in the years since, and that has changed the way I see the world.
when you test a font, you use a pangram: a sentence that uses every letter. everyone knows "the quick brown fox jumps over the lazy dog", some people use “sphinx of black quartz, judge my vow”. i am presenting a third option, which i use:
I’m never going to find love am I.
how a physicist sees the world
Structural pressures are creating AIs that we don't want. Economic and military pressures are stronger than technical safety fixes. Examples: • GPT-4o's Resurrection. GPT-4o got users dependent on its flattery. When it was removed, public outcry led to its reactivation. •…
9 times out of ten you can delete everything that came before it and just use those “other words” in the first place
One of the things I think is underemphasized in math education is definitions and where they come from and who did them and how you would come up with them and how you can see a good or bad one.
Actually I’m curious about this. Why? I do not think of them as too different. For example, the conjugate of the indicator function of a subspace is the indicator of its orthogonal complement. They work together correctly. (This is Moreau decomposition more generally.)
did we ever figure out why early AI image gen looked exactly like a psychedelic trip
What 10 years of progress looks like in AI image generation at Google.
I think this is very related: arxiv.org/abs/2505.20397 heard a talk on this paper by Emre Sertöz and it's really cool :)
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