asuka

楕円曲線のBSD不変量, 中でもTate--Shafarevich群を研究しています.

↑私のホームページで, イラストや論文, 数学クイズなどを公開しています.

[Number Theory Papers @PQBW]

A rank-zero 2-converse to the Gross–Zagier and Kolyvagin theorem for elliptic curves with abelian two-division field

Ashay Burungale, Ye Tian
https://t.co/LNE9WujkNV [𝚖𝚊𝚝𝚑.𝙽𝚃]

[Jinan @Jinnanog5]

陶哲轩担心的事，真的发生了。😕

一位数学家在 YouTube 上讲了自己还没解开的问题。
一周后，一个毫无相关背景的陌生人发邮件给他：
“我用 AI 帮你解出来了。”

他是 Heriot-Watt 大学的 Francesco Fournier-Facio。他的决定是，以后不再公开讲没做完的研究。

“这很可悲，但对青年学者来说，这就是现实。”

[Number Theory Papers @PQBW]

Independence of Hasse–Weil L-functions over rings of Dirichlet series

Sho Yoshikawa
https://t.co/UQmC504dx1 [𝚖𝚊𝚝𝚑.𝙽𝚃]

[arXiv math.NT Number Theory @mathNTb]

Periods and CM motives of abelian type
arXiv:2611.13723

Diophantine approximation with prime denominators in short intervals
arXiv:2611.13767

A Moment Proof of the Hollman-Xiang Conjectures on Kloosterman Polyn...
arXiv:2611.13848

[Number Theory Papers @PQBW]

2-Selmer in arithmetic progressions

Giacomo Bortolussi
https://t.co/hr7c37Psgy [𝚖𝚊𝚝𝚑.𝙽𝚃]

[arXiv math.NT Number Theory @mathNTb]

The uncertainty operator, the Weil ground state and the zeros of zet...
arXiv:2611.13129

The \mathbb Q-gonality of X_1(42) is 12
arXiv:2611.13155

Bounding the security of the Bromberg-Shpilrain-Vdovina hash function
arXiv:2611.13459

[arXiv math.NT Number Theory @mathNTb]

When do all iterates of x^2 + a have maximal Galois group?
arXiv:2611.14014

Explicit plane models for all Galois quotients of the Hermitian curve
arXiv:2611.14073

A generalized Vojta-R\'emond inequality over adelic curves
arXiv:2611.14123

[Number Theory Papers @PQBW]

A recursion relation for the coefficients of Swinnerton-Dyer type polynomials

Miek Messerschmidt
https://t.co/TP7L3eZNuX [𝚖𝚊𝚝𝚑.𝙽𝚃]

[Number Theory Papers @PQBW]

Curves with absolutely irreducible Tate modules over p-adic fields

Alexandros Konstantinou
https://t.co/MkS6TVuydU [𝚖𝚊𝚝𝚑.𝙽𝚃]

[arXiv math.NT Number Theory @mathNTb]

The exceptional set of Goldbach numbers among polynomial values
arXiv:2611.09386

Curves with absolutely irreducible Tate modules over p-adic fields
arXiv:2611.09393

Permutation polynomials from quadratic and linear forms
arXiv:2611.09629

[Elliot Glazer @ElliotGlazer]

@Soledad7000 @mayankjha1089 “Do you fully understand the proof”

No.

“Can you take full responsibility for it?”

What does this phrase even mean?

[֍꧁𪚥꧂֎ @marx_saul]

これはアカン

[Number Theory Papers @PQBW]

Fields Generated by a Single Point on Elliptic Curves

Minseok Kim, Myungjun Yu
https://t.co/tjpDInbKBY [𝚖𝚊𝚝𝚑.𝙽𝚃]

[Number Theory Papers @PQBW]

Pointless K3 surfaces over finite fields

Asher Auel, Philip Engel, Kiran S. Kedlaya, Sair Shaikh
https://t.co/fKsvYrhN6x [𝚖𝚊𝚝𝚑.𝙽𝚃 𝚖𝚊𝚝𝚑.𝙰𝙶]

[🎶 @memories0fmusic]

f² = -id looks like something ℂomplex is going on, thus such a function can't be real. ■

[Alvaro Lozano-Robledo @mathandcobb]

My friend Enrique Gonzalez Jimenez has made this site about Diophantus' Arithmetica, and I think it's really cool!!

https://t.co/w98lcXyAn0

[Melissa Chen @MsMelChen]

I hate SF Halloween, what do you mean you're the visualization of OpenAI’s solution to the Navier–Stokes Millennium Prize Problem

[SKG @sonukg4india]

How to become a math professor in one weekend: start with a proof, end with no friends. 💀
From #Matheorem

[rUv @rUv]

The most terrifying costume I could find. #Claude

[Dankrad Feist @dankrad]

I am for an AI pause, meaning a pause to training frontier models.

I think the AI models we have now are amazing. They save an incredible amount of human labor and can help drive science and technology forward and accelerate them enormously. I reckon it would take a decade to even disseminate current AI capabilities through society and make full use of them.

Driving the frontier forward from here will massively increase the risks. If we value human life, we should try to keep things at timescale that humans can react. The risks of things happening that most of us find abhorrent will increase a lot otherwise. This will mean not getting some of the benefits of AI, but on balance, I think the risks are now getting too high.

Practical ways to implement this pause are:
- USA to ban training of new frontier models in a suitable way
- USA and China making a treaty and encouraging more countries to join
- Enforcement can be via limits on hardware or large data centers, probably both

I don't think that this pause should be forever. The goal is to slow down the frontier, let society catch up, and make it more resilient (better resistance to cyber and biological threats, individuals managing more of their life with AI , democratic resilience). In a few years time, we can be in a better place to take the next steps. The goal is not to stop AI and its benefits forever, it's preserving and improving human life through it, and that's only possible by slowing it down to human timescales for now.