945 votes, 354 comments. Normally I would be extremely skeptical, but the result is checkable by simple computation. Remarkable! The two-dimensional…
levent on Twitter / X
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,…— levent (@__alpoge__) July 20, 2026
Direct Consequences of the Three-Dimensional Counterexample to the Jacobian Conjecture
Expository writing following an explicit three-dimensional Keller counterexample.
Jacobian Conjecture -- from Wolfram MathWorld
The Jacobian conjecture asserts that a polynomial map F:C^n->C^n having a nonzero constant Jacobian determinant is an automorphism. In the plane, first stated by Keller (1939), it says that a ring map F of C[x,y] (the polynomial ring in two variables over the complex numbers) to itself that fixes C and sends x, y to f, g, respectively, is an automorphism iff the Jacobian f_xg_y-f_yg_x is a nonzero constant. The condition is easily shown to be necessary. There have been at least five...
AI's solution to 87-year-old riddle takes mathematicians by surprise | New Scientist
Mathematicians have been trying to prove the Jacobian conjecture for nearly a century, but now the Claude Fable 5 AI has apparently found a counterexample that disproves it
How I Vibed a Proof of Conway’s Conjecture — overreacted
You can just prove things, apparently.
The Black Jacobins: Toussaint L'Ouverture and the San D…
A powerful and impassioned historical account of the la…
Jacob Sayles · A Personal Record
This is my personal record for art, projects, and other things I have had a hand in creating.
Junyu Ren on Twitter / X
How we solved the 70-year-old Pierce–Birkhoff conjecture in real algebraic geometry with $400.One thing we kept noticing: models from different families (including the latest public models from GPT and Claude) seemed to complement each other, even when they were independently… pic.twitter.com/7MzWstXfy6— Junyu Ren (@junyu_r) September 9, 2026
FLT: Anthropic has beaten me to it
I guess technically it was revealed to the world by a coffee shop in Islington on Insta, but an hour later it was officially announced by Anthropic: one of their internal models, using the prove2.m…
【参考】フランク・ミラーがダークナイト・リターンズを発表したのは29歳のとき。 アレックス・ロスがマーベルズを描いたのは24歳のとき。
【参考】フランク・ミラーがダークナイト・リターンズを発表したのは29歳のとき。アレックス・ロスがマーベルズを描いたのは24歳のとき。— キャプY:『タイタンズ：ビースト・ワールド』 (@Captain_Y1) January 16, 2019
The Affine Plank Conjecture | Zaz Brown
An illustrated explanation of relative plank widths, an interactive visualization, and proofs for three planks.
