Matemático

Joined June 2010
Pablo Groisman 🎲 retweeted
Science is not some hobby that serves the self actualization of people in a publicly sponsored job placement program. It is the systematic search for truth.
Wow, over 1,000 mathematicians have now joined the Association for Human Mathematics (AHM), committing to: > NOT publish AI generated math papers > NOT work with frontier labs > 654 of them went even further to NOT even use AI in their research, at all
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Pablo Groisman 🎲 retweeted
The math community deserves its own AI system. Introducing Open Math OS: the infrastructure for Math 2.0. Open models and AI agents. 24/7 cloud compute with 100+ tools. The community controls its data. Compute is free for approved teams. Apply now: openmathmodel.org/
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Pablo Groisman 🎲 retweeted
really sad how the invention of the telescope made astronomers obsolete
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Pablo Groisman 🎲 retweeted
I spoke with The Daily about what’s happening to math in the age of AI—and what it feels like to be a mathematician right now. The conversation went places I hadn’t expected. I’m grateful to @RachelAbramsNY, @annieminoff, and their team. nytimes.com/2026/10/13/podca… via @NYTimes
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Pablo Groisman 🎲 retweeted
Replying to @ohlennart
The "short solution" to the existence of a percolation threshold in dim >1, found by GPT for Philip Easo. The previous proof by Duminil-Copin was a Duke MJ paper (20 pages on the arxiv version) but only for d>4. GPT found a stunning "long-distance analogy" enabling a general proof for all d>1, in one page. I wouldnt define it as "stunningly creative" but apparently the connection was completely missed in the litterature, and it's very beautiful. Close to a move 37? paper from P. Easo's page: static1.squarespace.com/stat…
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Pablo Groisman 🎲 retweeted
I fear that it will be difficult for people to develop good theory-building, exposition, etc, skills if they rarely get their hands dirty with problem-solving using their own brain.
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Pablo Groisman 🎲 retweeted
The research community is in uproar after OpenAI released a trove of more than 700 mathematical preprints entirely generated by AI on 6 October go.nature.com/4rUx91I
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Pablo Groisman 🎲 retweeted
Many amazing [if correct] results close to my heart / work: 1) Polyakov's conjecture on the O(n) model [Polyakov's was the first qft paper I read] 2) Quantum annealing for SK model. 3) Reconstruction on trees [Related to conjectures made with Marc Mezard 20 years ago]. 4) k-SAT threshold [Beautiful work by Gaia Carenini has priority here] 5) Free energy for spin glasses on random graphs. 6) Mixing for the SK model. 7) Factor-of-IID threshold for Ising model on trees 8) Free energy of the spherical perceptron github.com/openai/math
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Pablo Groisman 🎲 retweeted
El Gobierno Nacional lleva 350 días sin aplicar la Ley de Financiamiento Universitario, ignorando al Congreso de la Nación, las resoluciones de Justicia y el reclamo permanente de las universidades nacionales. Desde la Facultad de Ciencias Exactas y Naturales de la UBA exigimos su cumplimiento inmediato. La única posibilidad de sostener una universidad de calidad y que dé respuestas a nuestra sociedad es con presupuesto acorde y salarios dignos para sus trabajadores.
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Pablo Groisman 🎲 retweeted
Autoformalization is now very easy. You can formalize long PDE or probability papers (including many prerequisities, none of which are probably in mathlib) in 24-48 hours. Harder projects can take more time, of course, but not much more. I wrote a blog post explaining how to do it. I'm also making all my lean skill files public.
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Pablo Groisman 🎲 retweeted
This is outrageous framing. Quite frankly, given the current tensions around AI and mathematics, this kind of announcement does not help. After the recent Buckmaster/OpenAI dispute over scientific credit and provenance, the last thing we need is more promotional PR language that blurs the history of a research problem. Meta presents its work by asking: “Can AI contribute when a problem is genuinely open and without an existing solution path?” Seriously?! For the ellipsoid-fitting example, this is misleading and insulting. There was an established research programme, substantial rigorous progress, and by the time of their announcement, publicly available proofs of the exact threshold. Let us be specific: - In 2023, Antoine Maillard and Dmitriy Kunisky gave a statistical-physics derivation of the conjectured transition at n/d² = 1/4, using the replica method. Their analysis also predicted the geometry of the solutions and suggested directions for rigorous proofs. This was not a proof, but it was a detailed and successful theoretical picture, not an absence of a path. arxiv.org/abs/2310.01169 - Afonso Bandeira and Antoine Maillard then rigorously established the sharp threshold for approximate fitting, using methods inspired by the statistical physics of disordered systems, using actually spin glass mathematical technics. Their preprint appeared in 2023 and was published in the Electronic Journal of Probability in 2025. Their Gaussian-equivalence framework provided a foundation for further work (including many of mine!). At this point, the "exact" fitting and removing the spectral restriction were the outstanding gaps, but these are technical problems, it was not about not discovering the threshold from scratch. arxiv.org/abs/2310.05787 - On 10 August 2026, Theodor Misiakiewicz and Garrett Wen posted a proof of the exact Gaussian threshold, explicitly closing those two gaps. arxiv.org/abs/2608.10184 - On 12 August, Sofia de la Cerda, Aaron Potechin, Madhur Tulsiani and Jeff Xu posted another proof, establishing both sides of the transition up to a vanishing multiplicative factor. arxiv.org/abs/2608.12415 - On 27 August, Frederic Koehler and Youngtak Sohn posted a broader universality theorem that includes the Gaussian threshold. arxiv.org/abs/2608.27372 These were not researchers merely “on the verge” of solving the problem. THE PROOFS WERE ALREADY PUBLIC. Meta's announcement comes in October, and Section 3 of their paper begins: “We use the groundbreaking approximate-fitting theorem of Bandeira and Maillard…” Dear META: Those are your words. This is not simply a reference in the bibliography: your feasibility proof explicitly starts from their theorem. How is that consistent with advertising this example through the suggestion that there was “no existing solution path”? Yes, your social post mentions independent solutions, and your paper and blog identify the August results and describe your work as independently developed. That does not answer the objection to the framing. A generic acknowledgement of parallel work does not make clear that the exact threshold already had publicly available proofs before this announcement. An independently developed AI-assisted proof, released after other proofs, should be presented as exactly that. Readers should not have to reconstruct the chronology to understand what is, and is not, new. A new proof can contain valuable ideas. But a new proof and a newly solved problem are not the same claim. Nor does a problem being open when a project begins mean it is still open when the marketing campaign launches. You say the aim is to “empower researchers”? Nothing more “empowering” than seeing years of collective research turned into the backdrop for a cheap marketing stunt. Correct the announcement! Give the scientific history the same prominence as the product. Give Antoine, Afonso, Theo and all the other researchers involved the public credit they deserve.
Replying to @AIatMeta
1️⃣ Probability: Mathematicians worked with Muse Spark to answer a question about fitting random points onto the surface of a stretched sphere. For the setting studied, they proved a sharp cutoff between when an exact fit is likely and when it is unlikely. Read the paper: ai.meta.com/research/publica…
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Pablo Groisman 🎲 retweeted
The idea of an intelligence explosion caused by recursive self improvement has been around for a long time but until very recently it did not seem imminent. Now many leading researchers think it may happen quite soon. You can read our paper about it here: casp.ac/reports/intelligence…
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Pablo Groisman 🎲 retweeted
COMUNICADO OFICIAL: Zivals está en la mira de una expropiación. En estas placas te resumimos todo lo que necesitás saber ¡Contamos con vos para detenerla! @jorgemacri @pberecia
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Pablo Groisman 🎲 retweeted
My @QuantaMagazine podcast with @JannaLevin, THE JOY OF WHY, has been nominated for a Signal Award in the category "science and education". Please consider voting for us! vote.signalaward.com/PublicV…
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Pablo Groisman 🎲 retweeted
The @Caltech community and SAIR are redesigning and co-organizing Mathathon: Old Problems, New Proofs. Explore alternative proofs and clearer explanations, using AI to deepen human understanding. More on our co-founder Terence Tao’s blog: terrytao.wordpress.com/2026/…
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Pablo Groisman 🎲 retweeted
We are too late for the "paper of the future" contest I learned about from @AlexKontorovich , but Amélie had the idea to make an "interactive" version of the paper we were finishing with Tuomo. So she gave Fable a detailed prompt, then we had a little back and forth with it, and eventually it wrote "visual" version of the paper. The entire text of the paper is contained in this webpage, but there are other things you can find that there: high-level summaries of proofs, interactive graphics and little animations, the dependency graph at different scales which allow to explore the proof at different levels of "depth"
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Pablo Groisman 🎲 retweeted
¿Viste el nuevo video de nuestro canal de Youtube? Ingresá para poder escuchar el Coloquio de @MininniPablo (@Fisica_UBA , UBA; INFINA, UBA - CONICET) titulado "De la turbulencia a la irregularidad: IA y el problema de la regularidad en Navier-Stokes". youtube.com/watch?v=DxdCFUSJ…
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Pablo Groisman 🎲 retweeted
Martin Hairer, one of the other members of AGMAI (the advisory group on mathematics and AI), has written a post on the Proofs and Prompts blog that will I hope clarify what our purpose is. The rest of the blog is highly recommended too. proofsandprompts.com/2026/09…
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