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Fields Medals 2026

mathunion.org

31–40 of 128 posts

Re: Fields Medals 2026

#31

Reading the descriptions of their work makes me think of magic. It's an understanding of the principles of math and physics at a level above almost everyone on the planet - these are modern wizards.

So overhyped. Yet they have no power but some prestige among nerds. The reason why it is bad is that the money/status is very limited relative to the amount of smart people. I would rather praise developments in quantitative sciences.

Re: Fields Medals 2026

#32

Earlier quoted context omitted.

[flagged]

This Fox has a longing for grapes: He jumps, but the bunch still escapes. So he goes away sour; And, 'tis said, to this hour Declares that he's no taste for grapes.

So now the Emperor walked under his high canopy in the midst of the procession, through the streets of his capital; and all the people standing by, and those at the windows, cried out, "Oh! How beautiful are our Emperor's new clothes! What a magnificent train there is to the mantle; and how gracefully the scarf hangs!" in short, no one would allow that he could not see these much-admired clothes; because, in doing so, he would have declared himself either a simpleton or unfit for his office. Certainly, none of the Emperor's various suits, had ever made so great an impression, as these invisible ones.

"But the Emperor has nothing at all on!" said a little child.

"Listen to the voice of innocence!" exclaimed his father; and what the child had said was whispered from one to another.

"But he has nothing at all on!" at last cried out all the people. The Emperor was vexed, for he knew that the people were right; but he thought the procession must go on now! And the lords of the bedchamber took greater pains than ever, to appear holding up a train, although, in reality, there was no train to hold.

Re: Fields Medals 2026

#33
post #20

"harmonic analysis and geometric measure theory, including applications of multiscale and decoupling techniques to the local smoothing conjecture for the planar wave equation, and major advances in Fourier restriction, Falconer distance sets, Furstenberg sets in the plane, and the Kakeya problem in three dimensions." I'm not sure there is another profession in the world where it's impossible to explain to a layman on…

I bet she could do it. Maybe not in a sentence, but at least the Kakeya problem is easy to understand, so maybe these other things would be explainable by an expert. I would like to see them try at least!

fwiw, I feel the same way about biology "Lysing action of the (1,2)b-carotene receptive encephalopathy pathway" type shit.

Re: Fields Medals 2026

#35
post #7

Earlier quoted context omitted.

[flagged]

Should we be handing out Fields medal to I don't know, maybe. I would not put Clankers on the same level (or category / level of importance) as people but if they produce the work maybe they should get the credit.

> but if they produce the work maybe they should get the credit

But that's not what the Fields Medal is for.

If you're a 41 year old mathematician and do amazing groundbreaking world shifting math, you can't get a Fields Medal either.

Re: Fields Medals 2026

#37

Scary stuff from one of the winners: "A Taxonomy of Omnicidal Futures Involving Artificial Intelligence" (Jacob Tsimerman, Andrew Critch) https://arxiv.org/pdf/2507.09369

This is a piece of sci-fi formatted with LaTeX so it looks like philosophy.

Re: Fields Medals 2026

#38

Scary stuff from one of the winners: "A Taxonomy of Omnicidal Futures Involving Artificial Intelligence" (Jacob Tsimerman, Andrew Critch) https://arxiv.org/pdf/2507.09369

Does anyone know if Tsimerman talked about AI extinction risk at other places? Critch has worked long-term in the field (MIRI, CHAI) but I was surprised to see this colab.

Re: Fields Medals 2026

#39
post #28
post #14

Earlier quoted context omitted.

It's like saying: - winners in the 30s were the last time we have pure human to win (before computer) - winners in the 70s were the last time we have pure human to win (before internet) - winners in the 90s were the last time we have pure human to win (before search engine) Why can't we treat LLMs as just another tool like computers, search engines, computing libraries? Why do people keep trying to anthropomorphizing…

If you say "find some unsolved graph theory problem and counterexample for it" and LLM actually does it, is it really you that solved the problem? That's the difference vs other tools.

Is this a purely hypothetical question?

Or are you saying that’s what happened in this case. Because that’s not the way I understand it.

Re: Fields Medals 2026

#40
post #20

"harmonic analysis and geometric measure theory, including applications of multiscale and decoupling techniques to the local smoothing conjecture for the planar wave equation, and major advances in Fourier restriction, Falconer distance sets, Furstenberg sets in the plane, and the Kakeya problem in three dimensions." I'm not sure there is another profession in the world where it's impossible to explain to a layman on…

Try the Quanta magazine articles.

https://www.quantamagazine.org/series/fields-and-abacus-meda...

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