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 [...]
[This is a guest post by Thomas Bloom, crossposted from the Erdős problems forum. This blog post was initially written in a different file format and converted using AI. — T.] AI is changing everything, for better and/or worse, and the rate of change is dizzying; in recent months this has been particularly evident in...
Vous trouverez ci-dessous des adresses pour consulter des rapports de jury de la session 2026 du CRPE mis en ligne sur Internet. Merci de me signaler si vous connaissez des adresses de rapports qui ne figurent pas dans cette liste. Remarque : Pour des...
The next issue of the Carnival of Mathematics, rounding up blog posts from the month of September 2026, is now online at Ben Leis's Math Off The Grid. The Carnival rounds up maths blog posts from all over the internet, including some from our own Aperiodical. See our Carnival of Mathematics page for more information.
Le site Eduscol propose des tableaux permettant de faire le point sur les programmes en vigueur à la rentrée 2026 pour chacun des niveaux de l'école élémentaire et du collège : Document concernant le cycle 2 (CP, CE1 et CE2) : https://eduscol.education.gouv.fr/4347/enseigner-au-cycle-2...
[This is a guest post by Annalisa Buffa. This blog post was initially written in a different file format and converted using AI. — T.] About us and the position The Chair of Numerical Modelling and Simulation at EPFL is dedicated to the design and analysis of numerical algorithms for partial differential equations....
[This is a guest post by Jeremy Avigad. This blog post was initially written in a different file format and converted using AI. — T.] "Mathematics underwent, in the nineteenth century, a transformation so profound that it is not too much to call it a second birth of the subject—its first birth having occurred among...
Il y a quelques années, j'avais fait un exerciseur pour montrer deux situations où le théorème de Pythagore pouvaient intervenir. J'en ai donc imaginé 3 autres. L'idée est de travailler les modélisations possibles. Alors là rigoureusement, on est à la limite entre la situation à modéliser et la situation schématisée...
[This is a guest post by Diego Córdoba and Luis Martínez-Zoroa. This blog post was initially written in a different file format and converted using AI. — T.] Euler formulated the equations for an inviscid incompressible fluid more than 250 years ago. Published in his 1757 memoir, they belong to the earliest systems of...
Allez zoup un peu de veille sur l'IA ! Je vous propose deux vidéos. Cette première vidéo a le mérite de mettre des mots sur ce que je ressens également par rapport à l'IA. Là, ça avance vite... Je suis tout autant d'accord avec lui que j'utilise également l'IA notamment pour le codage, car elle [...]
Bonjour à toutes et tous! Voici un petit site qui reprend une activité sur les portraits anonymes pour travailler sur les représentations des stéréotypes genrés. Alors ces portraits sont réels, et permettent de déconstruire les chois d'orientations ou qualités supposées inhérentes au genre. On avait déjà testé avec...
[This is a guest post by Jennifer Taback. This blog post was initially written in a different file format and converted using AI. — T.] Recently I have read a stream of articles questioning the future of mathematics: what constitutes a proof, what we value, how we retain the human enterprise of creating knowledge....
Bonjour à toutes et tous ! J'ai repéré hier soir un petit problème avec le reportage de France sur la baisse des prix de l'essence! A utiliser dès le cycle 3 ! Télécharger
[This is a guest post by Matthew Colbrook. This blog post was initially written in a different file format and converted using AI. — T.] (Disclosure: ChatGPT helped me write and refine this post.) Inspired in part by the recent discussions on this blog, we have started a new project, AIM, an initiative to create [...]
— 1. The Hardy-Littlewood maximal inequality — We work in Euclidean space with Lebesgue measure; we write instead of for the Lebesgue measure of a set . For any and let denote the open ball of radius centred at . Thus for instance . For any , we use to denote the dilate of around [...]
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