Benjamin Collas

Arithmetic Homotopy Geometry International research year at RIMS Kyoto 04/2027-03/2028 * Homotopy, rationality, and geometry * The homology-homotopy frontier in arithmetic geometry * Combinatorial arithmetic geometry Conf x3; Courses: x7; Workshop: x7 ahgt.math.cnrs.fr/AHG-year_27-28/

Pour l'honneur de l'esprit humain arxiv.org/abs/2605.20579

Have you updated your MathSciNet author profile recently? Search your name and click “Login to edit” in the top right corner of the profile. Authors may update their own author profiles with the native script version of their name, a personal photo, personal email, and URL! #MathSciNetMonday #MathSciNet30 #MathSciNet Learn more. Link in comments.

@IUTTOfSM1969 @tedx_kyotou This is indeed my statement; by building with 30+ years of developments on Grothendieck's initial vision🙏

@BCollasMath @tedx_kyotou 望月の遠アーベル幾何学は、『私たちがまだ見ぬ新しい秩序と進化の可能性を見出しうる“不均衡な揺らぎ”』を活用しているのかもしれない 」 これはCollas先生のお言葉ですか？

* TedXKyotoUniversity - Asymmetry 2026.6.7 望月の遠アーベル幾何学は、『私たちがまだ見ぬ新しい秩序と進化の可能性を見出しうる“不均衡な揺らぎ”』を活用しているのかもしれない 」☺️ arxiv.org/abs/2508.01588 @tedx_kyotou [Entrance fees payable with vegetables for students]

@Dhivya691 Thank you for your interest! Participation will be in-person* only; registration will open 6 months ahead. * so as to favor proper mathematics dissemination; the AHGT project has other hybrid/online events, though. 🙏

@BCollasMath Good morning sir. How to register and attend online as I am from India.

Arithmetic Homotopy Geometry International research year at RIMS Kyoto 04/2027-03/2028 * Homotopy, rationality, and geometry * The homology-homotopy frontier in arithmetic geometry * Combinatorial arithmetic geometry Conf x3; Courses: x7; Workshop: x7 ahgt.math.cnrs.fr/AHG-year_27-28/

@Exponenciel13 @antoineducros Comme si une pression paternaliste de contrôle était nécessaire pour me faire étudier. Mais ça n'est que mon ressenti ; d'autres collègues se sentaient rassurés 🙂‍↕️

@BCollasMath @antoineducros Comment ça "infantilisant" ?

J'ai un débat autour de la licence mathématique: Pourquoi, selon vous, le niveau des étudiants en L1/L2/L3 de math, est (en globalité) très bas ? Selon moi, une des raisons est le manque d'évaluations, qui ne favorise pas réellement le travail en autonomie.

@antoineducros @Exponenciel13 Plus qu'une mise en autonomie, j'ai toujours trouvé en tant qu'étudiant les contrôles continus infantilisant 🤔

@Exponenciel13 Manque d'évaluations ???? Pour un cours de 24 h en L3 : deux contrôles continus en TD, un examen partiel, un examen terminal, et un examen de rattrapage.

Response to direct questions: * origin of insight is homotopic* ~> Evaluate: what is beyond K(pi,1), new compared polycurves, new insight brought by new techniques? ~> Compare (Tamagawa, Hoshi, Mochizuki): polycurves, Kummer faithfulness, quasi-tripod,...🙏

Elementary anabelian varieties are anabelian, by M. Carlson Bringing clarity between the foundational approach of the Japanese school in higher dimensions (e.g., Hoshi) and more recent techniques of \infty-categories (e.g. Haine, Holzschuh, Wolf). arxiv.org/abs/2604.24898

Anabelian geometry for Deligne-Mumford curves. Another step in the project ``arithmetic of stacks''. Grothendieck conjectures weak form and m-step forms; incl. (stack) geometry, (Fenchel) group theory, and weighted Proj line. arxiv.org/abs/2605.02577

If you recognize what's happening here, you're part of a generation that also spent endless hours fine-tuning autoexec.bat and config.sys files. And if you're not sure what's going on in the video, I honestly envy your youth.

@1806_04679 If that can be of any assistance: Professor Mochizuki's IUT with another voice 🙏 collas.perso.math.cnrs.fr/documents/Coll…

(関係者にとってはお察しでしょうが)諸々の理由でちょっとだけ宇宙際Teichmullerの知識を入れたくなり、望月新一先生のpdfを開けてみたんだけど、案の定中学生の頃と同じぐらいわからなかった

@1806_04679 Report on latest progress by Alekseev -- 2026.03.09 🙏 ahgt.math.cnrs.fr/videos/2026/03…

こちらが多重ゼータ値の構造にまつわる様々な副代数群の関係について、2026年4月現在の人類の知識を示した図になります。 青矢印はいずれも単射が示されたものですが、すべて同型と予想されています。

🇫🇷 It is anticipated that the Eiffel Tower will be engraved this year with the names of 72 women scientists—including three former School of Mathematics scholars: Cécile DeWitt-Morette, Yvonne Choquet-Bruhat, and Jacqueline Ferrand. Read more: ias.edu/news/etched-hi…

As shown with this project, the practice of mathematics and mathematics itself is free and open 🎊 But where are the blueprint and github? @ReidaaKyo As soon as mathematics are kept hidden in the darkness of secrecy, they are deprived of any enlightening scientific truth 🙏

On the 30th anniversary of MathSciNet, Executive Editor Edward Dunne discusses the history of Mathematical Reviews, MathSciNet, and its importance to the mathematical community. #MathSciNetMondays #MathSciNet30 #MathSciNet Link in comments.

望月新一氏本人が久々に講演 April 9th 2026 Shinichi Mochizuki: On the Formalization of IUT: a preliminary progress report #IUTABC S. Mochizuki’s talk at a workshop on AI and math theorem provers on April 10 aitpm.github.io

Math is called a universal language, but history shows its global celebrations are rarely "borderless." This article into past U.S. hosted ICMs provides context for the upcoming Philadelphia 2026 ICM. I’m devastated that world politics is once again intertwined with the celebration of world mathematics. Sharing this so everyone can see the historical patterns and make up their own minds. 🌐📐 ams.org/journals/notic… #ICM2026 #Mathematics #STEM #Philadelphia

Kaiji. Kondo: Anabelian aspects of the outer automorphism groups of the absolute Galois groups of mixed-characteristic local fields arxiv.org/abs/2512.09231 arxiv.org/pdf/2512.09231 arxiv.org/html/2512.09231