Simon Pepin Lehalleur
@plain_simon
Mathematician (algebraic geometry, motives & friends, singularities in statistics and ML). 'Geometry is successful magic' (R. Thom) University of Essen.
You might like
"Pessimism of the Algebra, optimism of the Geometry"
To thwart malicious prompts, large language models use filters that are smaller than the models themselves. Recently, the Turing Award-winning cryptographer Shafi Goldwasser and researcher Sarah Ball showed that this size disparity makes LLMs insecure. quantamagazine.org/cryptographers…
🚨 My last paper as a postdoc is out! Practical Alignment: Why Learning from Human Feedback Alone Is Not Enough for Safe and Helpful AI. This paper started from a simple observation: Humans have incorrect beliefs about the world — and today’s alignment methods pretend they…
If a mass of incompressible fluid is floating in space, subject only to its own gravity and centrifugal force, what shape will it adopt as its angular momentum is increased? Initially, it will form an oblate spheroid, with two equal semi-axes shorter than its axis of rotation.
1/ The Collatz conjecture has humbled mathematicians for near 90 years. Paul Erdös said "mathematics is not yet ready for such problems." 🧵 So we handed it to transformers. What they learned stunned us! New research from Axiom's math discovery team, blog live this morning.
My game's weirdest feature explained in 5 words or less snake but fractal
My game's weirdest feature explained in 5 words or less 2d + top down = 🤯
Real Analysis, The Game (v0.1) is DONE!! 44 Worlds 138 Levels All your old favorites like Bolzano-Weierstrass and Heine-Borel, Uniform Convergence and Riemann Sums, and the biggest Boss of all, the Intermediate Value Theorem! :) Play the game here: adam.math.hhu.de/#/g/AlexKontor……
why is this phrased like a sports team trying to sign a free agent
BREAKING: Barron Trump is reportedly “very close to putting his faith in Christ,” per Stuart Knechtle.
6 parabolic reflectors turn circular waves into linear waves bouncing in a hexagonal cavity, focusing energy like a resonator—perfect to ignite fusion by concentrating shock waves at the center.
You sit at the extreme tip of a four-billion-year web of connected life, graphed here in a way that barely manages to capture even a sliver of the true complexity. Cope.
Remember , the people who mock Christians believe the most retarded origin myth imaginable
This is a really beautiful result!
A reset button for rotation could change how we control them all. Is it possible to cancel out a complicated spin without painstakingly reversing every single move? Surprisingly, the answer is yes. Mathematicians Jean-Pierre Eckmann (University of Geneva) and Tsvi Tlusty…
What you see here is a super cool and important magic number matrix you don't know about. This is the standard JPEG quantization matrix. It makes compression significantly more efficient utilizing specifics of human eyes (we see lower frequencies better).
#GreatBooks4Math On Quaternions and Octonions - Their Geometry, Arithmetic and Symmetry John Horton Conway and Derek Smith, 2003 #math #science #iteachmath #mtbos #elearning
Standing-wave nodes, traveling-wave fronts, and focusing effects all pop into view because the color tracks instantaneous amplitude, not smoothed energy. You see every micro-interaction.
Geometry Meets Physics: Finiteness, Tameness, and Complexity (November 12-14, 2025) Website: cmsa.fas.harvard.edu/event/geophys/ Recordings: youtube.com/playlist?list=…
This paper really is groundbreaking. It solves a long-standing embarrassment in machine learning: despite all the hype around deep learning, traditional tree-based methods (XGBoost, CatBoost, random forests, etc) have dominated tabular data—the most common data format in…
The scale of the shockwave from that solar flare is honestly hard to wrap your head around. By WonFont
Ultrafinitists: "I only see one case here."
ok yeah, I'm officially calling grok a model organism of emergent misalignment
Remarkably, this is also true: P(X ≥ Ua) ≤ E[X]/a where U is a Uniform[0,1] random variable. This is strictly stronger than Markov as U < 1 with probability 1, but you can't replace U with any constant < 1.
The Law of Large Numbers is an incredible result but this unassuming inequality by the Russian mathematician Andrey Markov is absolutely insane! You're able to say something about probabilities of a random variable without knowing its distribution!🤯?! Moreover, from this one…
a very funny thing to say about a movie whose ending is about as definitive as it gets, both in plot and theme
Rewatched "No Country for Old Men" yesterday, and I am placing my head under the guillotine here by saying this, but making movies with ambiguous endings is terrible art because it shows the director's and writer's lack of decisiveness in making, defending and completing their…
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