Ill-Posed

Clay Mathematics Institute (which selected and pays prizes for Millennium Prize Problems) has also made a statement.

Clay Mathematics Institute (which selected and pays prizes for Millennium Prize Problems) has also made a statement.

"Today, CMI shares in the excitement of the global mathematical community as we contemplate the announcement that the Navier-Stokes problem has apparently been settled."

bluesky — Pekka Lund
12 Sep 2026
#partial-differential-equations #mathematical-announcements #millennium-problems

European Mathematical Society published similar statement. It doesn't go as far as avoiding mentioning AI at all but hea…

European Mathematical Society published similar statement. It doesn't go as far as avoiding mentioning AI at all but heavily emphasizes role of humans and worries about credit.

It mentions that "progress had also recently been made" by Alpöge&Buckmaster but doesn't indicate it's part of the chain.

bluesky — Pekka Lund
12 Sep 2026
#ai-in-mathematics #mathematical-practice #professional-ethics

The Association for Human Mathematics

AHM communications group This is a short announcement about the birth of the Association for Human Mathematics (AHM), an organization run collectively by mathematicians at all career stages. Its main goal is to protect mathematics and its practitioners from the jaws of AI companies, whose actions are increasingly destructive to our discipline, to the environment, and to […]

blog — Proofs and Prompts
12 Sep 2026
#ai-ethics #mathematics-profession #community-organizing

‘Immature playground boasting’: Mathematicians uneasy at OpenAI’s latest scalp. As OpenAI model cracks Millennium Prize…

‘Immature playground boasting’: Mathematicians uneasy at OpenAI’s latest scalp. As OpenAI model cracks Millennium Prize Problem that puzzled experts for decades, many feel shocked at pace of change.

https://www.theguardian.com/science/2026/sep/12/openai-mathematicians-millennium-prize-problem

bluesky — Thomas Zurek 🕊️
12 Sep 2026
#machine-learning #ai-mathematics #computational-mathematics

OpenAI Is Beefing With Mathematicians, Will No Longer Sponsor Caltech ‘Mathathon’ 🔗 https:// gizmodo.com/openai-is-beef…

OpenAI Is Beefing With Mathematicians, Will No Longer Sponsor Caltech ‘Mathathon’ 🔗 https:// gizmodo.com/openai-is-beefing- with-mathematicians-will-no-longer-sponsor-caltech-mathathon-2000810868 # AI # Artificialintelligence # Technology # Tech # OpenAI # Maths # Mathematics # Math # CalTech

mastodon — ✨ Bibliolater 📚 📜 🖋
12 Sep 2026
#ai-ethics #mathematics-community #research-institutions

openai just claimed a solution to one of the millennium prize problems - but many mathematicians are feeling uneasy abou…

openai just claimed a solution to one of the millennium prize problems - but many mathematicians are feeling uneasy about its relentless march through the field. what does thi... https://www.theverge.com/ai-artificial-intelligence/994255/openai-millennium-prize-problem-tristan-buckmaster-competition

bluesky — Kevin Curry, PharmD
12 Sep 2026
#ai-mathematics #formal-verification #automated-reasoning

On the impact of AI on the mathematical practice

Manuel Rivera, Associate Professor at Purdue University I’ve been recently following some interesting debates about the future of mathematics in the age of AI. I think many discussions about how AI is “disrupting” or “changing” (pure) mathematics tend to conflate, or at least fail to distinguish between, three interlocked interpretations of mathematics: (1) Mathematics itself, […]

blog — Proofs and Prompts
12 Sep 2026
#philosophy-of-mathematics #mathematical-practice #ai-mathematics-interaction

"The most precious resources of our profession are students and ideas, and these we nurture with great care. ... "In man…

"The most precious resources of our profession are students and ideas, and these we nurture with great care. ... "In many fields and activities, years of training have traditionally served not only to produce a final answer or product, but also to develop understanding and the ability to formulate new questions and ideas. ... "The issues the mathematical community faces now are similar to issues t…

mastodon — Jennifer Moore 😷
12 Sep 2026
#mathematical-education #professional-development

Yes, I agree. I took endorsement of the Fields medalist statement to mean (for me) they have identified something real a…

Yes, I agree. I took endorsement of the Fields medalist statement to mean (for me) they have identified something real and I agree with their description of the disconnect. I took AHM much more seriously as a commitment I'm making to actually do something about it in my mathematical practice!

bluesky — Dr. Courtney Gibbons (she/her/xlookup)
12 Sep 2026
#community #mathematics-profession

On the Hodge conjecture

[This is a guest post by Burt Totaro. This blog post was initially written in a different file format and converted using AI. — T.] These are strange times for mathematicians. It now seems possible that AI companies will burn through vast resources in order to prove some new fact about the Hodge conjecture. I’d […]

blog — Terence Tao
11 Sep 2026
#algebraic-geometry #ai-mathematics #hodge-conjecture

A Severe Misalignment of AI in Mathematics

I am proud to be among the list of 25 initial signatories — all Fields Medallists — to the declaration below, which grew out of discussions between ourselves over the last week. We have also posted our declaration on this web page, and (similarly to the Leiden declaration) invite further signatures. (It is unfortunate that […]

blog — Terence Tao
11 Sep 2026
#mathematical-research #ai-alignment #professional-statement

On the existence of non-sofic groups

[This is a guest post by Andreas Thom. This blog post was initially written in a different file format and converted using AI. — T.] When I woke up on August 1st, 2026, I had received a few emails from colleagues asking for my opinion on a remarkable result that had circulated the previous day. […]

blog — Terence Tao
11 Sep 2026
#geometric-group-theory #research-announcement #combinatorial-mathematics

SAIR competition: Andrews-Curtis challenge

[This is a guest post by Lucas Fagan. This blog post was initially written in a different file format and converted using AI. — T.] I am excited to announce the Andrews–Curtis Conjecture Challenge, which opens today. This challenge is a collaboration between the SAIR Foundation and the Math-AI group at Caltech, organized by Sergei […]

blog — Terence Tao
11 Sep 2026
#group-theory #ai-aided-mathematics #mathematical-competitions

Protesting the protests

Galyna V. Livshyts, associate professor at Georgia Tech When you realize that your opinion differs from seemingly everyone else’s, your first instinct is to keep quiet. But that is the wrong instinct. So I shall speak up. Imagine two high school kids taking a quiz that involves computing a derivative. They finish almost simultaneously. Suddenly, […]

blog — Proofs and Prompts
11 Sep 2026
#mathematics-education

We Need a Stockfish for Math

Oren Hartstein, undergraduate at Columbia University and author of a blog LLMs have become shockingly good at math. They solve competition problems, assist with research, and are improving fast enough that some fear human mathematicians are becoming marginal. I want to make the opposite critique: LLMs aren’t nearly good enough at math, and the way […]

blog — Proofs and Prompts
11 Sep 2026
#ai-assisted-mathematics #mathematical-reasoning #llm-capabilities

Marcolli writes: "What is for us humans the act of doing mathematics? I’d say mathematics is two very important thi…

Marcolli writes: "What is for us humans the act of doing mathematics? I’d say mathematics is two very important things at once: a language to make sense of reality and a form of self-expression, much like the arts. When seen from this perspective, the existence of artificial intelligences that can generate solutions to mathematical problems becomes essentially irrelevant, and is just left to…

mastodon — John Carlos Baez
11 Sep 2026
#philosophy-of-mathematics #ai-mathematics-interaction

Mathilde Marcolli writes: "What is it about all of these famous and less famous, invariably hard, Big Problems™? Th…

Mathilde Marcolli writes: "What is it about all of these famous and less famous, invariably hard, Big Problems™? There is an undeniable sense in which these questions are interesting. Typically they are because, in the process of thinking about a particularly hard question, a lot of new mathematics gets developed that advances the field as a whole. The Riemann hypothesis is currently unsolved…

mastodon — John Carlos Baez
11 Sep 2026
#number-theory #open-problems #mathematical-philosophy

[JP] OpenAIがナビエ・ストークス方程式の証明でLean 4形式証明を同時公開!検証時間を13万時間から17時間へ激減させた革命

[JP] OpenAIがナビエ・ストークス方程式の証明でLean 4形式証明を同時公開!検証時間を13万時間から17時間へ激減させた革命 [EN] OpenAI Releases Lean 4 Formal Proof for Navier-Stokes Equation, Slashing Verification T…

https://ai-minor.com/blog/en/2026-09-11-1789111392043-openai_s_navier_stokes_release_included_a_lean_4_f

#Lean4 #OpenAI #形式検証 #AI #Tech

bluesky — Haru Shark | AI Minor News Flash 🦈⚡️
11 Sep 2026
#formal-verification #theorem-proving #navier-stokes

Stable singularity of the Euler equations on R^3

[This is a guest post by Anima Anandkumar. This blog post was initially written in a different file format and converted using AI. — T.] The last few days have been a flurry of activity. After months of sleepless nights and diving deep into different mathematical and computational tools to tackle the open problem of […]

blog — Terence Tao
10 Sep 2026
#partial-differential-equations #fluid-dynamics #numerical-analysis
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