Mathematician:
Jacobian conjecture is false! After 87 years we've found one counter-example.
Statistician:
So you're telling me the Jacobian conjecture is true almost surely.
hello there the jacobian conjecture is false thanx to my close friend akhil for asking about it and my other close friend fable for working during the world cup final
((1+xy)^3 z + y^2 (1+xy) (4+3xy), y + 3 x (1+xy)^2 z + 3 x y^2 (4+3xy), 2 x - 3 x^2 y - x^3 z): \C^3\to \C^3, has jacobian determinant -2, and sends (0, 0, -1/4), (1, -3/2, 13/2), and (-1, 3/2, 13/2) to (-1/4, 0, 0)
"A tribute to Euler" -- I loved this funny, fascinating lecture by the great William Dunham, one of the world's best math expositors for people who actually like math. https://t.co/ncKOrUZ8Dj via @YouTube
This year’s Abel Prize was awarded to Professor Masaki Kashiwara. As we look back on 2025, we invite you to revisit the Abel Prize lecture videos from this year as a fitting way to wrap up the holidays & New Year's Eve:
https://t.co/cc3Po2MiIu
I’m proud of this one.
I brought a solar telescope to Florida to capture a Falcon 9 rocket launch transiting the sun. While these have been captured before, never with the details of the sun’s chromosphere, which makes this one the first!
See the video or get the print below 👇
This is an unwise statement that can only make people confused about what LLMs can or cannot do. Let me tell you something: Math is NOT about solving this kind of ad hoc optimization problems. Yeah, by scraping available data and then clustering it, LLMs can sometimes solve some very minor math problems. It's an achievement, and I applaud you for that. But let's be honest: this is NOT the REAL Math. Not by 10,000 miles.
REAL Math is about concepts and ideas - things like "schemes" introduced by the great Alexander Grothendieck, who revolutionized algebraic geometry; the Atiyah-Singer Index Theorem; or the Langlands Program, tying together Number Theory, Analysis, Geometry, and Quantum Physics. That's the REAL Math. Can LLMs do that? Of course not.
So, please, STOP confusing people - especially, given the atrocious state of our math education.
LLMs give us great tools, which I appreciate very much. Useful stuff! Go ahead and use them AS TOOLS (just as we use calculators to crunch numbers or cameras to render portraits and landscapes), an enhancement of human abilities, and STOP pretending that LLMs are somehow capable of replicating everything that human beings can do.
In this one area, mathematics, LLMs are no match to human mathematicians. Period. Not to mention many other areas.
Calling on my friend @ericweinstein and @GaryMarcus, who has been one of the few sane expert voices on these matters lately. 🙏
h/t @hellheff
🎓 Just earned the Graduate Certificate in Computational Modeling from Michigan State University! Grateful for the skills gained in simulation, numerical methods, and scientific computing—can’t wait to apply them in my research.
I was chosen, without any merit of my own. Now, with fear and trembling, I come to you as a brother, who desires to be the servant of your faith and joy, walking with you on the path of God’s love, for He wants us all to be united in one family.
📢 Exciting news! Our paper with Prof. Peng Zhang @PengZhangUM , “Space Charge Effects on Short-Pulse Electron Beam Dynamics in a Classical Vacuum Diode,” has just been published in IEEE Transactions on Electron Device!
📄 DOI: https://t.co/hcvup9RQtg
Forgotten in an IDP camp just 6 months ago in Adamawa, to winning a silver medal+100 dollars at the Chess and community conference in Athens, Georgia 🇺🇸.
This is what dreams are made of❤️
Un réel plaisir d'avoir été invité à l’Université @Georgetown à Washington pour donner un séminaire sur la rivalité géopolitique autour des minerais critiques en Afrique.
@annatashton thanks for inviting me to your class.
JFK Files in Text
I used Replit AI on my phone to download the files, use Gemini Flash to OCR the pdf to convert to text files, and put it up on GitHub.
You can search directly on GitHub or download or use an LLM to analyze. Link in thread.
After more than two decades at @AIMSacza, we say goodbye to Jan Groenewald and his loyal companion, Ruffy. Jan has been a true pillar of our community - since 2003, he has been a teacher, mentor, and friend to generations of students. You will be deeply missed!
Today, we mourn the loss of Yvonne Choquet-Bruhat, a pioneering mathematician and physicist, who passed away at 101. Her groundbreaking work on Einstein's equations shaped general relativity. Her legacy will continue to inspire scientists around the world.
Rest in peace, Yvonne