Edgar Assing, Valentin Blomer, and Farrell Brumley are organizing an event at the Hausdorff Center in Bonn on Jan 11-15 to discuss recent developments regarding the Riemann zeta function and allied functions. From the announcement: "This includes in particular the recently established proof of the quasi...
Bon, CompagnonPP continue d'évoluer ! Après la grosse refonte de la version 3.0, voici une petite nouveauté qui devrait intéresser les professeurs principaux de 3e et de 2de : un onglet « Stage » ! Julien Delmas m'avait suggéré l'idée cet été.... Un constat simple : les conventions, les entreprises, les tuteurs, les...
Bonjour à toutes et tous! Alors voici une grosse nouveauté, la vidéo, et une vidéo normalement fluide ! Maintenant c'est une connexion P2P entre le smartphone et l'ordinateur.C'est plus fluide et cela permet effectivement d'avoir une vidéo possible entre le smartphone et le vidéo projecteur. Donc là on peut filmer un...
Having looked at the various developments of the method of exhaustion as produced by the ancient Greeks and independently by the ancient Chinese, which can seriously be considered as a sort of proto-integral calculus, we then turned briefly to look ... Continue reading →
Sur la Forge des communs numériques éducatifs, pas besoin d'être développeur pour contribuer à un projet. Une idée, une suggestion ou un signalement de bug peuvent déjà faire avancer un outil utilisé par toute une communauté. Encore un nouvel outil ? Il y a quelques jours, je suis tombé sur plusieurs projets de...
[This is a guest post by Gireeja Ranade. This blog post was initially written in a different file format and converted using AI. — T.] The day after the Navier-Stokes result was announced, a student came to my office hours. They said, "Can we please talk about the Navier-Stokes result and what it means? I [...]
Daniel Carter, Kevin O'Bryant, and I have uploaded to the arXiv our paper On the diameter and distribution of Sidon sets. This is a paper stemming from an interaction on my blog last year, regarding the use of AlphaEvolve to improve the then state of the art on the size of Sidon sets. We obtained [...]
Double Maths First Thing picked the wrong week to give up Lemsip Hello! My name is Colin and I am mathematician on a mission to spread the joy and delight of doing, thinking about, playing with and suffering from mathematics. I am not on a mission to suffer from a cold the week I'm meant...
— 1. The Hilbert transform — In this set of notes we begin the theory of singular integral operators – operators which are almost integral operators, except that their kernel just barely fails to be integrable near the diagonal . (This is in contrast to, say, fractional integral operators such as , whose kernels go...
Pavel Etingof, Slava Gerovitch, "Mathematics of the Future" Timothy Gowers, "How worried should we be about extinction risk from AI?" Elchanan Mossel, "LLMs, Reasoning and Plagiarism". (See also this related petition.) nihilunbounded, "Who Watches the Watchmen" Sung-Jin Oh, "What does it mean for a mathematician to...
Cet article propose mes ressources libres et gratuites pour le premier chapitre de mathématiques de l'année se sixième. Ce premier chapitre traite des nombres entiers. Vous trouverez l'ensemble de mes ressources, leçon, exercices, activités, évaluations, la plupart corrigées. Comme d'habitude tous ces documents sont...
[This is a guest post by the Advisory Group on Mathematics and Artificial Intelligence, crossposted from their site. This blog post was initially written in a different file format and converted using AI. — T.] In our September 29 recommendations, we outlined an approach to the release of AI-generated mathematical...
[This is a guest post by Abhinav Nellore, Johannes Schmitt, Soledad Villar, and Rachel Ward – T.] OpenAI's math write-ups at https://github.com/openai/math can be difficult to understand and can have incomplete citations. https://github.com/mathcommunity/oai-math-revised/ seeks to be an inclusive effort to improve...
The IAS has opened its application page for its membership program for the upcoming year. This by itself would be unremarkable — the program does this every year — but there is an additional statement included in the announcement: We realize that applying to positions in the current environment is stressful. To help...
[This is a guest post by Caroline Turnage-Butterbaugh. This blog post was initially written in a different file format and converted using AI. — T.] Evidence in favor of the Riemann Hypothesis comes in many flavors. OpenAI's proof of the quasi-Riemann Hypothesis is definitely one such flavor; however, in this post I...
- Vidéos de la chaîne "DomCRPE" : https://www.youtube.com/@DomCRPE/playlists - Vidéos de la chaîne "Droles2Maths" : https://www.youtube.com/playlist?list=PLORKMvuexDKR5IiGCdo16HMh18EVpuxU4 - Vidéos de la chaîne "Math et ma team" : https://www.youtube.com/playlist?list=PLLV928jSmXUV_8o9VzRYvHOqMo6idSz1W...
[This is a guest post by Tristan Buckmaster. This blog post was initially written in a different file format and converted using AI. — T.] This blog post expands on a theme mentioned at the end of my recent talk at the Institute for Advanced Study on October 19. I would like to thank Matei [...]
Bonjour à toutes et tous ! Je viens de terminer une petite application qui se place dans la zone de notification. Elle permet par un raccourci clavier configurable de dicter ce qu'on veut écrire et ça écrit sur le logiciel où on est comme libreoffice , pronote etc.... Voici un rendu (bon j'ai pas réussi [...]
Double Maths First Thing is all a bit chaotic Hello! My name is Colin and I am a mathematician on a mission to find and share the joy in maths, puzzles and working things out. I'm likely to have some availability for new students in the next few months, so if you know of anyone...
Before the proportional compass, there were the proportional dividers, better known as the reduction compass. This was a much simpler instrument but it also worked on the same Euclidian theory of proportion applied to isosceles triangles. A normal pair of ... Continue reading →
In the spirit of my recent "Math 2.0" talk on new ways to use AI assistance to enhance the human understanding of mathematics, rather than substitute for it, I am using this post to propose an experimental challenge, inspired by the recent activity around excluding Landau–Siegel zeroes, as discussed in this previous...
For a given prime , the Legendre symbol is defined as follows: if is a quadratic residue modulo , then ; if is a quadratic non-residue modulo , then ; and if divides , then . Let be an integer that is not a perfect square. (One could require to be a fundamental discriminant if [...]
[This is a guest post by Lukas Liehr, João Pedro Ramos and Mitchell Taylor – T.] We are launching the Bourgain Project, a community-driven initiative to revisit, expand upon, and explore the body of work of Jean Bourgain, one of the most prolific mathematicians of his time. The goal of this initiative is to develop...
18 oct. 2026 · Sur Mathematical Enchantments (James Propp)EN
Because most people stop at the ZBut not me! — On Beyond Zebra!, by Dr. Seuss A mysterious gentleman offers to give you a bag containing as many coins of any denomination of U.S. currency as you want. A million quarters? Easy. A billion double eagles, worth $20 apiece? No problem; the magic bag will [...]
[This is a guest post by Francesco Maggi. This blog post was initially written in a different file format and converted using AI. — T.] Large language models (LLMs) and the research systems built around them (and commonly known as "artificial intelligence") have demonstrated remarkable abilities in generating...
Alors ça n'a rien à voir avec les maths, nous dirait Carlito (pour ceux qui ont la référence !), mais bien avec le libre ! Un gros projet est actuellement mené par une communauté de développeurs avec une ambition assez folle : proposer des alternatives gratuites et open source aux logiciels des grands éditeurs, et...
[This is a guest post by Shaoming Guo – T.] Several math colleagues and I are preparing to launch a new journal. As we considered which values we wanted the journal to uphold, we realized that there may be many other values worth exploring as a community, potentially through the creation of additional journals. We...
As readers of this blog have no doubt noticed, I have recently turned over the majority of content on this blog to guest posts from other authors, either within the mathematics community or adjacent to it. In this post I record some content coming from my own talks and interviews in this time period. "The [...]
As announced a few weeks ago, the SAIR Open Math OS is now soft launched. It offers services and web interfaces similar to frontier AI models, though currently we are hosting existing open math models (DeepSeek V4.1 Flash, Kimi K3, and GLM 5.3 Flash) which are roughly a year or so behind the current frontier [...]
Jeremy Avigad, Kevin Buzzard, Johan Commelin, Rémy Degenne, Kim Morrison, Oliver Nash and Adam Topaz have written a blog post over on Kevin Buzzard's blog entitled "How to Formalize All of Mathematics", regarding recent proposals to automatically formalize the entirety of the mathematical literature. The issues...
Bonjour à toutes et tous! Cette année me voilà avec des 6eme, et j'ai été confronté à de vraies difficultés pour poser des additions, soustractions, multiplication et division. La division, j'étais habitué, la multiplication à la marge, mais cette année, les élèves sont très nombreux. Il a fallu donc générer des...
[This is a guest post by Rikab Gambhir. This blog post was initially written in a different file format and converted using AI. — T.] First, they came for the artists, and I did not speak out, because I was not an artist. Then, they came for the mathematicians, and I did not speak out, [...]
[This is a guest post by Deanna Needell and Hayden Schaeffer – T.] [Edit: Oct 16, 2026 : we are in particular interested in ways mathematicians contributed to the results in the wave of recent AI generated preprints, e.g. preliminary results, interactions with AI models, publications, etc.] AI systems are playing an...
Just a short note that First Proof is announcing the result of their "third batch" evaluation at a webinar at 3PM ET hosted by ICARM today. (Registration required.)
Double Maths First Thing had to look up where Wells is Hello! My name is Colin and I am a mathematician on a mission to spread the joy and delight in the beauty of maths, and the human effort of figuring things out. This week I've been taking joy in simplifying and clarifying code that...
This is somewhat belated, but: on October 2, the American Mathematical Society released a report based on a recent workshop it organized on the topic of graduate education in the mathematical sciences. (If there have been other such reports that have appeared recently that were not already mentioned on the blog,...
[This is a guest post by Sophie Huiberts, being an expanded version of a post on her own blog. This blog post was initially written in a different file format and converted using AI. — T.] When you prove a theorem, you are imparted a responsibility to the field of mathematics. At minimum you need [...]
I'm collecting here a list of some other recent blog posts or opinion pieces on math and AI beyond the ones posted here or at Proofs and Prompts. Readers are invited to contribute further such links in the comments. Kevin Buzzard, "To grieve, or not to grieve?" Alexander Gamburd, "The Siren Call of Silicon Leviathan:...
[This is a guest post by Kate Stange and Edmund Harriss. This blog post was initially written in a different file format and converted using AI. — T.] In January a group of mathematicians, historians, artists and educators gathered at the Institut Henri Poincaré (IHP) for a very unusual workshop on mathematical...
Bonjour à toutes et tous! Cette année comme depuis 3 ans, on fait travailler les élèves sur l'oral en mathématiques. Les premiers oraux sont passés, on a pu parler d'IA,oui car de petits malins de 4e on fait des exercices avec l'IA pour préparer l'oral... l'oral était .... disons.... un peu malaisant, l'élève ne...
I am uploading my slides to my public lecture "Math 2.0" that I gave yesterday evening at Caltech. (The talk was planned over a year ago, and was initially titled "Machine Assisted Proof" and scheduled to be given back in May. It was postponed to October, and with recent events the talk changed significantly, but [...]
[This is a guest post by Thomas Hales. This blog post was initially written in a different file format and converted using AI. — T.] Mathematicians have been weighing in on what they value about mathematics. For me, what matters is the consistency of math and its unparalleled reliability in support of science and...
[This is a guest post by Álvaro Lozano-Robledo. This blog post was initially written in a different file format and converted using AI. — T.] TL;DR: Keep calm and carry on studying math. I would like to give Terry my heartfelt thanks for giving me the opportunity to contribute a post to his blog. After [...]
[This is a guest post by the Association for Human Mathematics, reposted from their statements page. This blog post was initially written in a different file format and converted using AI. — T.] Yesterday, on October 6th, 2026, OpenAI — which is currently defending lawsuits against accusations of illegal plagiarism,...
[This is a guest post by Raghu Meka. This blog post was initially written in a different file format and converted using AI. — T.] "This problem has been tried by several famous mathematicians." "There is a heuristic argument for why these methods cannot work." "Getting this algorithm would give new circuit lower...
Double Maths First Thing is tangled up in knots Hello! My name is Colin and I am a mathematician on a mission to spread the joy and delight in doing and discussing maths. This week I have been in error-recovery mode after drawing a wrong conclusion on a consulting project. Compared to Chris Lewicki's classic,...
Once again this will be a post outside of the mainstream of the historical evolution of calculus. It is also another example of an independent parallel discovery in the history of mathematics, this time in medieval India. More specifically the ... Continue reading →
[This is a guest post by Ben Antieau, cross-posted from his blog. — T.] There was no personal problem, no world problem, whose eloquent solution did not exist— somewhere in some hexagon. —Jorge Luis Borges, "The Library of Babel" [1] New repository I am writing to announce Hexagon, a new repository for research works...
Bon, là youtube, je te remercie, tu as été là quand il a fallu basculer les vidéos chez toi. Bah oui, plus de 15 Go de vidéos à partager c'est pas évident sur mon petit site de supporter toute cette bande passante. Et tu as été là.... Et puis est venu les premières réclamations sur [...]
Bonjour à toutes et tous! J'ai reçu un message de Jérôme Maillard de l' EPLEFPA Agri'Pôle St Hilaire du Harcouët. A regarder cette série les aventurières, il a détecté un passage intéressant! Utilisable en début de cycle 4, on y a trouve un problème de surface et de vitesse ! Télécharger Merci Jérôme, j'ai une [...]
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