Sur les blogs — les derniers billets des blogs de mathématiques

[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. [...]

[This is a guest post by Silvia De Toffoli and Eamon Duede. This blog post was initially written in a different file format and converted using AI. — T.] Silvia De Toffoli (University School for Advanced Studies IUSS Pavia) Eamon Duede (Princeton University and Purdue University) On September 8th, 2026, OpenAI...

Parallel to the other crowdsourced resource drive on this blog, I would like to collect books, writings and other resources that discuss or explain the purpose(s), value(s), and nature of mathematics. As seen in reactions to recent events, one can see many oversimplified or inaccurate perceptions of mathematics, such...

[This is a guest post by Claire Voisin. This blog post was initially written in a different file format and converted using AI. — T.] Hodge classes can be defined on any compact complex manifold . They are rational Betti cohomology classes on of even degree (eg combinations with -coefficients of classes of oriented...

[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 [...]

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...

[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. [...]

[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,...

Et bien Si je m'attendais à une belle explosion de mes ressources de mon serveur. Force est de constater que 200 utilisateurs en même temps, avec de grosse sollicitations par ailleurs, le serveur a complètement planté. J'ai donc revu le programme pour qu'il fonctionne autrement, seul point négatif, en cas de courte...

Are you ready? October is right around the corner and you know what that means? Mathober! This years prompts are on the website mathober.com and below. If you are new to Mathober, no worries, you can jump right in. Each day there is a word or phrase for you

[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...

Given current events, I think it is worthwhile to start collecting useful online resources with regards to AI and mathematics in general. I will start a list below, but ask contributors to contribute further links in the comments. Note that while I personally do not agree with 100% of the content of every single link...

" Les profs résistent " écrit Pierre Merle au lendemain de l'emballement médiatique post-PISA. " La logique d'action des ministères successifs est caractérisée par un top down contre-producti...

Take it to the limit one more time – a history of calculus IV Today, I'm going to deviate slightly from course and talk about something that didn't actually play a role in the development of calculus. There is a tendency ... Continue reading →

It's Double Maths First Thing, not Double Entendre. Hello! My name is Colin and I am a mathematician on a mission to spread joy and delight in maths and mathematical thinking. Something that's been brewing for a while: I've come to the decision that DMFT will no longer report on AI-related topics. I'm not judging...

The next issue of the Carnival of Mathematics, rounding up blog posts from the month of August 2026, is now online courtesy of Karen Campe at Reflections and Tangents. 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...

Bonjour à toutes et tous! J'espère que votre rentrée s'est bien passée! À Loué, une belle surprise de voir notre collège changer de nom (on croyait tous que ce serait l'année prochaine), « Rosa Bonheur ». Un début chaotique du fait des soucis informatiques de l'académie de Nantes, pas de Nuage, pas de Visio des mails...

1°) Documents originaux mis en ligne par l'OCDE : Rapport concernant la France: https://www.oecd.org/fr/publications/resultats-du-pisa-2025-volume-i_5a2c9236-fr/france_9840dc6b-fr.html Rapport concernant tous les pays:...

There's some exciting very recent work by Alpöge and Buckmaster, building upon prior work by Córdoba and Martínez-Zoroa, in the general topic around the infamous global regularity problem for the incompressible three-dimensional Navier-Stokes equations. It is now widely expected that it should be possible to construct...

In this series of posts, we'll be featuring mathematical video and streaming channels from all over the internet, by speaking to the creators of the channel and asking them about what they do. We spoke to Deniz & Thorsten, who host the aboutlogic channel. Channel title: aboutlogicLink: youtube.com/@aboutlogicTopics...

 Je sors de ma retraite fermée pour exploser. Comment se fait-il, pardi, que les savoirs mathématiques ne sortent que trop rarement de la classe ?(Oh ne vous inquiétez pas, j'en ai une bonne idée.)Mais là, quand on s'occupe des communications, il faudrait tout de même faire attention ! La loi de De Morgan   Et ça se...

Numéro 101 de la revue MathémaTICE : http://revue.sesamath.net/spip.php?rubrique236 Archives de la revue MathémaTICE http://revue.sesamath.net/spip.php?page=plan

It's time for SciArt September hosted by Kristin Henry (vis.Social/@kristinHenry) with #SciArt on Mastodon. This year, I made wallpapers. There are 137 images per doodle that are formed from mirroring, gliding, and rotating an image. I am hosting on SmugMug because of the sheer volume of

Double Maths First Thing is grateful to Past Colin's organisation. Hello! My name is Colin and I am a mathematician on a mission to spread the joy and love of mathematics, even when deadlines are tight. Fortunately, I anticipated this might happen and prepared my links last week. Over the weekend, the Pseudorandom...

Every year in August various websites and social media accounts celebrate the anniversary of Galileo's demonstration of his telescope to the  Senate of Venice, they almost invariably get the date wrong. Way back in 2009, I wrote and posted A Telescope ... Continue reading →

Luckily, such a formula exists, and there are lots of ways to find it. In this post, we'll find it using power series. Read on, brave bunny farmer... A Golden Formal Power Series Courtney Gibbons Hamilton College Some days, I feel a lot like the angel in Dürer's Melencolia I

https://eduscol.education.gouv.fr/sites/default/files/document/calendriernouveauxprogrammes-129025.pdf Source : https://eduscol.education.gouv.fr/4332/niveaux

CompagnonPP passe en version 2.6.1 ! Au programme de cette mise à jour : CompagnonPP 2.5.2 est désormais disponible sur le Microsoft Store pour Windows et sur Google Play pour Android.N'ayant toujours pas accès à nos services, je ne suis toujours pas en mesure de le mettre sur la Forge (je fais partie dune des [...]

Voir aussi cette page du site du ministère : Édouard Geffray, ministre de l'Éducation nationale, présente mardi 25 août 2026 les grandes lignes de l'année scolaire avec Sabrina Roubache, ministre déléguée chargée de l'Enseignement et...

Popular perception of history are almost always constructed out of half remembered facts, myths and legends and very often have no real relation to what actually took place. In the western world the popular perceptions of the Ottoman Empire are ... Continue reading →

Double Maths First Thing is not, and has never been, down with the kids. Hello! My name is Colin and I am a mathematician on a mission to spread joy and delight in maths, puzzles and problem-solving. I'm just back from a week in Germany, where the highlight was the Heinz Nixdorf Museumsforum in Paderborn,...

A recent tradition of the ICM is to have a non-technical popular article written for each of its medallists. (This is separate from the older tradition of having a laudatio for the winner, which is similar but aimed at a more advanced audience.) I was approached to write such an article for Hong Wang on [...]

Afin de mieux prendre en compte les conséquences des épisodes de fortes chaleurs du mois de juin dernier et de garantir aux candidats les meilleures conditions de passation des examens, le ...

Vademeacum : Source : https://eduscol.education.gouv.fr/5067/interdiction-du-telephone-portable-et-numerique-raisonne

En attendant patiemment que les services institutionnels de l'académie de Nantes soient de nouveau accessibles (moui le temps est long, cela fait plus d'une semaine et... la rentrée se rapproche...), j'ai mis ce temps à profit pour faire évoluer CompagnonPP ! Je déposerai cette mise à jour sur La Forge dès que...

Retrouvez ici toutes les dates essentielles de l'année scolaire 2026-2027 : périodes de cours, vacances et jours fériés, pour chaque académie en métropole et dans les territoires ultramarins....

J'ai commencé à mettre en ligne quelques petites vidéos en rapport avec le programme de l'épreuve de mathématiques du CRPE : https://www.youtube.com/@DomCRPE

Mathematical Discourse is a new online, peer-reviewed mathematics journal, publishing videos of mathematics research talks of the highest quality.  Our inaugural scientific and editorial boards are listed at the end of this message. Our goal is to promote and nourish a culture which values communication as an...

Tangente est le seul magazine français destiné au grand public, dédié entièrement aux mathématiques. Il s'agit d'un bimestriel, six numéros par an et quatre numéros hors série. Chacun des numéros hors séries devient un numéro spécial un peu plus tard, la Bibliothèque Tangente qui propose une version plus fouillée, un...

Ben Krause, Hamed Mousavi, Joni Teräiväinen, and I have just uploaded to the arXiv our paper Quantitative bounds for sets lacking polynomial progressions with shifted prime difference. The purpose of this paper is to obtain quantitative versions of this theorem of Wooley and Ziegler: Theorem 1 Let be polynomials of...

In everyday European discourse there are only a small number of scientists whose names are widely known within the general populus–Copernicus, Galileo, Descartes, Newton, Darwin, Einstein, Curie–and even then the people only know very vaguely why these scientists are celebrated ... Continue reading →

This looks like a Rubik's Cube, but it's not: It seems that an open-cab truck filled to the brim with Rubik's Cubes hit a bump in the road, causing some of the cubes to spill out of the truck bed and onto the roadway. When, mere moments later, those cubes got run over by a [...]

Double Maths First Thing gets its kicks on a.19792ish Hello! My name is Colin and I am a mathematician on a mission to spread the joy and love in doing maths, figuring stuff out, getting stuck and getting unstuck again. You'll need to forgive a slightly brief end-of-summer DMFT; it's the sort of week where...

In recent months there has been a proliferation of AI-generated proofs of various old and new results, some of which have been formalized in the proof assistant language Lean. However, checking that a given Lean repository actually proves the claimed statement is somewhat non-trivial, especially for an audience which...

Ces cahiers proposent, pour chaque niveau, une sélection organisée d'exercices d'automatismes tirés de la plateforme MathALÉA. Chaque exercice est associé à un QR code : sur cette version num...

In this series of posts, we'll be featuring mathematical video and streaming channels from all over the internet, by speaking to the creators of the channel and asking them about what they do. We spoke to Ellie Sleightholm about her YouTube channel, on which she posts roughly once a week to share the beauty in...

In the last post in this series, I talked about the rapid expansion  in the availability and use of mathematical and scientific instruments in England in the Early Modern Period. After describing the areas where these new instruments came into use, ... Continue reading →

This post concerns the following conjecture of Sendov, as well as its strengthening by Phelps–Rodriguez: Conjecture 1 (Sendov's conjecture) Let , and let be a degree polynomial with all zeroes in the unit disk. Then for every zero of , there exists a critical point of with . Conjecture 2 (Phelps–Rodriguez conjecture)...

L'entrée en prépa scientifique, CPGE ou prépa intégrée, constitue un véritable changement de rythme et de méthode. Or, les différences entre les lycées d'origine peuvent être importantes : certains élèves ont déjà été un tant soit peu familiarisés avec...

Double Maths First Thing has an army of clones Hello! My name is Colin and I am a mathematician on a mission to spread the joy and delight of working things out. I had a delightful chat with young Bill about complex numbers and matrices and noticed that the difference between him and most of...

A function of one variable can be translated in space by a spatial shift to obtain a new function and also modulated in frequency by a frequency shift to obtain a new function One can compose these two operations to obtain a time-frequency shift: As per the time-frequency uncertainty principle, the two shifts do not...

This is the first in a series posts that blend art and math. Jump in and choose your medium to indulge in creative expression. Note: This post was renamed, to better define the series of posts. Warm-upGrab a sheet of paper and a ruler. Make a line with

Double Maths First Thing is square in hex AND decimal! Hello! My name is Colin and I am a mathematician on a mission to share the joy and love in mathematics, to show that it's more than the mindless memorisation of arbitrary rules. Guess who nearly got sucked into a 6 ÷ 2 × 3...

Ethan Siegel is a big hitter under the Internet science explainers and popularisers, under the brand, Starts with a Bang. This started many years ago as a blog and has now been part of the Big Think website for many years. His style ... Continue reading →

The next issue of the Carnival of Mathematics, rounding up blog posts from the months of June and July 2026, is now online courtesy of Robin Whitty at Theorem of the Day. The Carnival rounds up maths blog posts from all over the internet, including some from our own Aperiodical. See our Carnival of Mathematics page...

Here's a short round-up of maths news from this month. The 2026 Fields medals have been awarded to Yu Deng, John Pardon, Jacob Tsimerman and Hong Wang. The Fields Medal is awarded to recognize outstanding mathematical achievement for existing work and for the promise of future achievement, and this year's winners work...