Sur les blogs — les derniers billets des blogs de mathématiques

Alors là je ne marche pas du tout sur les platebandes de mon frère avec compagnonPP , meuh non!! Alors, en fait, son application à Julien elle est hyper bien, hyper complète, mais sur ma liseuse, elle souffre de lenteur et je suis quelqu'un qui prend des notes, j'ai un besoin de stylet et uniquement [...]

Here's a round-up of some news from the last couple of months. Mathematical discoveries Lerch primes are defined as odd primes that divide their Lerch quotients (obviously) and until now we only knew four of them existed. This month, Veljko Vranić has found the fifth Lerch prime: it's 42,447,347, if you were...

A brief post to note two reports that just came out: The Advisory Group on Mathematics and Artificial Intelligence (AGMAI) has posted its general recommendations to AI companies with regards to generation of solutions to mathematical problems. A working group report "AI and TCS: The Next Six Months" arising from a...

Double Maths First Thing is fair drawing in. Hello! My name is Colin and I am a mathematician on a mission to spread the joy and delight in doing and talking (and singing) about maths. This week I'm in the undelightful state of "writing up maths I've already done", which is preventing me from doing...

[This is a guest post by Rachel Webb. This blog post was initially written in a different file format and converted using AI. — T.] The way I do math experienced a great upheaval once before, halfway through my PhD. I was in a seminar with a group of graduate students and faculty developing new [...]

Vendredi dernier, on a eu la chance de croiser avec le frangin Colin de la Higuera lors d'une journée organisée par la Chaire UNESCO RELIA. Lors de la table ronde, il a rappelé quelque chose d'assez simple, mais finalement essentiel : si l'on veut éduquer les élèves à l'intelligence artificielle, il faut aussi leur...

[This is a guest post by a coalition of Caltech mathematicians: the original organizers of Mathathon (Alvan Arulandu, Andrea Li, Avni Garg, Brian Zhao, Caiman Moreno-Earle, Sathvik Redrouthu), two coauthors of the Open Letter about the Mathathon (Dylan King, Tasmin Chu), and other members of the Caltech community...

Bonjour à toutes et tous! Voici un générateur d'exercices auto-correctifs sur le tracé de perpendiculaires. Alors ce principe vient d'une feuille d'activité trouvée sur internet conçue par une enseignante C. Poulain. J'ai repris le principe en ajoutant d'autres figures de base, comme le carré, le triangle ou le...

[This is a guest post by Jess Werk. This blog post was initially written in a different file format and converted using AI. — T.] Hello, I am Jess Werk, professor and chair of Astronomy at the University of Washington. Astronomy may interest mathematicians right now because our field has already been reshaped by...

Avec la DRANE, nous sommes beaucoup partis de la question de l'esprit critique face aux IA génératives. En formation disciplinaire, d'un autre côté, nous avons aussi une demande institutionnelle assez forte autour du plan « Filles et Maths ». Je me suis demandé ce qu'une IA générative conseillerait à deux élèves ayant...

[This is a guest post by Ivan Corwin. This blog post was initially written in a different file format and converted using AI. — T.] Mathematics and those mathematicians who guide its development have been central to societal advancement since antiquity. AI, like many tools that were invented by mathematicians (e.g.,...

Je vous propose dans cet article mes questions flash au format pdf que j'utilise en mathématiques au collège Source

Je vous propose dans cet article mes questions flash au format pdf que j'utilise en mathématiques au collège Source

1°) CRPE bac +3 Le programme est le programme de mathématiques du cycle 4 en vigueur à la rentrée scolaire 2026 (Source). a) Le programme de la classe de 5ème figure dans le BO n° 10 du 5 mars 2026 :...

Bon, on revient avec Julien d'une journée sur l'IA organisée par la Chaire Unesco RELIA et l'université de Nantes. Le matin on a fait un atelier sur l'IA pour des lycéens , Julien a présenté son activité sur la modélisation pour montrer comment l'IA prédisait de la même manière qu'eux en faisant n'importe quoi......

et un immense MERCI à Singapour et à Hong Kong  :  Voici les territoires où, sur les 3 derniers mois, les épisodes des "maths comme je les aime" ont été le plus téléchargés- et leurs pourcentages de l'ensemble des  téléchargements * :Mais puisque ces 3 mois, 26 % des téléchargements de mes épisodes ont eu lieu aux...

Just a quick post to note that the International Council for Industrial and Applied Mathematics (ICIAM) has released a statement on mathematics and artificial intelligence (as well as a longer version), which makes many points echoing several already made recently here and elsewhere. The longer statement also makes...

[This is a guest post by Bryna Kra and Rachel Ward. -T.] The Summit on PhD Math Education in the Age of AI was held September 17–18, 2026, jointly hosted by the Harvard Department of Mathematics and the Center of Mathematical Sciences and Applications (CMSA). It brought together twenty-four senior mathematicians from...

Pour ceux qui vivraient sur la planète Mars ou qui sortiraient d'un séjour prolongé dans la carbonite, je résume la situation. Conjecture de rigidité de Connes, problèmes d'Erdös, existence d'un groupe dénombrable non sofique, et tout récemment, problème...

[This is a guest post by Amit Sahai. This blog post was initially written in a different file format and converted using AI. — T.] When I was an undergraduate student, I remember talking with several students who felt that the pace at which the top students could understand new math concepts was far too [...]

We have been looking at the historical development of the method of exhaustion in Ancient Greece and China. Parallels are often drawn, not incorrectly, between the method of exhaustion and integral calculus. However, there are important differences between the two ... Continue reading →

I done fucked up! In the last post in this series I stated that Zu Chongzhi's determination of the value of Pi was the most accurate until the sixteenth century and the determination of  the German-Dutch mathematician Ludolph van Ceulen (1540–1610). This ... Continue reading →

[This is a guest post by Tapio Schneider. This blog post was initially written in a different file format and converted using AI. — T.] [This will be cross-posted on the CliMA blog.] The apparent proof of finite-time blow-up of the forced Navier-Stokes equation, announced by OpenAI on September 8, has brought into...

Bonjour à toutes et tous. Voici un petit exerciseur (totalement vibecodé, le temps me manque un peu), qui permet d'exercer les élèves sur le symbole ∈ et ∉ et (...) [...) [...] . Alors pourquoi le vibecoding? L'IA,sur des exerciseurs simples, commence vraiment à faire des programmes qui marchent et surtout vraiment...

Double Maths First Thing is "Ruining Christmas" Hello! My name is Colin and I am a mathematician on a mission to spread the joy and delight of mathematical thinking and practice. I'm currently experiencing the joy of being told by Helen Arney that she liked I Like The Pope. Helen Arney liked my song! The...

[This is a guest post by Martin Hairer, cross-posted from Proofs and Prompts. — T.] There has been a lot of speculation regarding the "Advisory Group on Mathematics and Artifical Intelligence" agmai.org since it was announced on Monday. In this short blog post, I would like to explain in a bit more detail how the [...]

On a déjà rencontré l'astroïde ici et ici. Nous avons vu que les équations paramétriques de l'astroïde étaient \begin{align*}x &...

[This is a guest post by Antonio Auffinger. This blog post was initially written in a different file format and converted using AI. — T.] Despite writing papers in pure mathematics, much of my time in the past decade was spent talking (mostly listening, to be accurate) to biologists, computer scientists, and...

[This is a guest post by the Advisory Group on Mathematics and Artificial Intelligence. This blog post was initially written in a different file format and converted using AI. — T.] We would like to use this guest post to announce the creation of the Advisory Group on Mathematics and Artificial Intelligence hosted at...

Disclaimer: due to current events, I have not been able to devote as much time to lecture notes preparation as I would have liked, so I apologize in advance for the unpolished nature of the text below, which has been largely recycled from previous lecture notes I have written. This is the first set of [...]

[This is a guest post by Po-Shen Loh, crossposted from his blog, where an illustrated version appears. This blog post was initially written in a different file format and converted using AI. — T.] Similar logic applies to every industry and every job. And it comes to the conclusion that we won't have enough people...

This is the second in a series of posts that blend art and math. Jump in and choose your medium to indulge in creative expression. Many have played with this through the years; a list of references is at the bottom. Thanks to Steve Heller for pinging me to play

Bonjour à tous ! Un petit billet de réflexion sur l'IA, et plus particulièrement sur l'IA génératrice de code. Pour commencer, un peu d'histoire avec une anecdote : Richard Stallman, l'un des pères fondateurs du logiciel libre (notamment de la licence GPL, de la FSF, Free Software Foundation, et du projet GNU), était...

[This is a guest post by Grant Sanderson. This blog post was initially written in a different file format and converted using AI. — T.] A sentiment echoing throughout the mathematics community right now is that solving problems and generating proofs have always served as proxies for the true goal of mathematicians,...

Last year I co-founded the Foundation for Science and AI Research (SAIR) with some private donors to create a non-profit organization that could support responsible uses of AI in mathematics and the other sciences, independent of the major AI companies. Initially, our resources were rather limited, and our main...

After a rabbit hole of playing with the minimum L-shaped seams of Mrs Perkins' Quilts, I submitted the related sequence to the Online Encyclopedia of Integer Sequences (OEIS) for consideration. Then, I washed, pressed, cut, sewed, ripped stitches, then sewed, then pressed a mini-quilt for the 13x13

[This is a guest post by Dimitris Koukoulopoulos. This blog post was initially written in a different file format and converted using AI. — T.] At the 2026 World Cup semifinal, England led Argentina 1-0 with less than twenty minutes left. And then the momentum completely changed: England switched to a much more...

[This is a guest post by Timothy Gowers, crossposted from his blog. This blog post was initially written in a different file format and converted using AI. — T.] When I was around 11 I heard for the first time about Fermat's Last Theorem. I was immediately captivated by the problem statement, as well as [...]

[This is a guest post by Talia Ringer. This blog post was initially written in a different file format and converted using AI. — T.] When I was wrapping up graduate school in computer science in Spring 2021, I was given access to a curious little programming model on OpenAI's "playground." The model, called Codex,...

We're excited to launch Stage 1 of the Lean Kernel Challenge, a multi-stage competition to improve the performance of verified computation in the Lean 4 kernel that the whole community can benefit from. The Lean Kernel Challenge brings the community together to develop faster algorithms and better representations for...

Bonjour à toutes et tous! Alors il y a déjà quelques temps je publiais un article où je montrais un travail que j'avais mené avec mes élèves sur le fait qu'on peut faire mentir l'IA sans que cela ne se voit. et bien j'ai décidé d'étoffer les erreurs que l'IA peut dire. Toujours sur le [...]

[This is a guest post by the editors of the communal blog Proofs and Prompts. This blog post was initially written in a different file format and converted using AI. — T.] In the mathematical community, AI became a central conversation topic months before we started our communal blog, called Proofs and Prompts. Some...

[This is a guest post by Noah Giansiracusa. This blog post was initially written in a different file format and converted using AI. — T.] Imagine a tech company announces new robot workers that can prepare food better than human chefs. If you think of dining out as sitting at a table and having your [...]

[This is a guest post by Ben Green. I support the letter, and am also a (corresponding) Fellow, but I have worked in various collaborations with the AI industry and so was not eligible to be a signatory. — T.] The rapid development of AI is of enormous public interest right now, with the possible existential [...]

CompagnonPP passe en version 2.7.6 ! Les principales nouveautés Disponible sur Windows et Android CompagnonPP 2.7.6 est disponible dès maintenant : La version Web devra encore patienter un peu. L'académie de Nantes faisant partie des académies dont certains services professionnels restent actuellement inaccessibles,...

J'ai le plaisir de vous annoncer la sortie de mes deux derniers livres de la série "Les maths en profondeur" pour le lycée : terminale spé maths et terminale maths expertes. Vous y trouverez, comme c'est l'usage dans cette collection, des démonstrations...

Double Maths First Thing is changing the key right back again. Hello! My name is Colin and I am a mathematician on a mission to spread the joy and love of maths as far and wide as I can. I'm fresh(ish) from extending my comfort zone by stepping in at short notice to play a...

I was trying to write a post about art with squarable numbers, and so I thought quilting a Mrs. Perkins' Quilt might be a nice addition to the exploration. With 1500 words almost ready to hit send, I ended up down a rabbit hole. This post is rather long

Before the publication of Sidereus Nuncius in 1610 launched him into European scientific superstardom, Galileo Galilei (1564–1642) was a comparatively unknown professor for mathematics at the University of Padua. He had a reputation in Northern Italy as a highly intelligent, somewhat arrogant, ... Continue reading →

[This is a guest post by Ben Antieau, crossposted from his blog. This blog post was initially written in a different file format and converted using AI. — T.] To resolve a central tension in the practice of mathematics by academics, I suggest the parallel with fast food and its attendant slow food movement. Three [...]

[This is a guest post by Henry Cohn. This blog post was initially written in a different file format and converted using AI. — T.] In this essay I'd like to discuss the role of AI-generated solutions in mathematics and why many mathematicians are justifiably concerned about a mismatch of values. Let's start with the...

[This is a guest post by Emily Riehl. This blog post was initially written in a different file format and converted using AI. — T.] Like many mathematicians, I was drawn to the field as a little girl by its aesthetics: questions that I found endlessly fascinating and arguments that struck me as delightful and [...]

[This is a guest post by Bryna Kra. This blog post was initially written in a different file format and converted using AI. — T.] For generations, mathematicians have treated the production of theorems as a clear measure of success. The stronger the theorem, the deeper the proof, the more surprising the connections,...

[This is a guest post by Nestor Guillen, crossposted from his blog. This blog post was initially written in a different file format and converted using AI. — T.] Keywords: LLMs, cultural technologies, skateboarding, creative communities, AI industry. A note on the timing of this essay. I started writing this in the...

ICI (https://www.youtube.com/watch?v=EEfI1PzYazo)

[This is a guest post by Steven Strogatz. This blog post was initially written in a different file format and converted using AI. — T.] WIRED reported today that I began to cry while talking about AI and mathematics. But the article didn't explain what moved me. The truth is, I'm not entirely sure myself. [...]