Pinned
Many of us intuitively feel that the field of mathematics is going to change, so let's unpack the likely outcomes, without resorting to hyperbole or doomerism.
Harmonic
307 posts
Harmonic
@HarmonicMath
Building Mathematical Superintelligence
Joined January 2024
- 🪄🧙Aristotle is the mathematician's super-assistant Check out how @LorenzoLuccioli uses Aristotle to develop new results in algebraic combinatoricsHappy to share that our paper “Mapping Uncharted Symmetries: Machine Discovery in Combinatorics” has been accepted to the ICML 2026 AI4Math Workshop. We study AI for discovery in algebraic combinatorics, with verification in @leanprover using @HarmonicMath’s Aristotle. 1/11
- The negation of Erdos unit distance conjecture, now formalized by Aristotle You can try it for free at aristotle.harmonic.funOh and Kim Morrison used Claude + Aristotle + Codex to formalize the negation of the Erdos unit distance conjecture: github.com/kim-em/erdos-u… It's nice to see that this was built on top of PNT+; so despite the fact that we haven't been able to upstream it to Mathlib (the Residue
- JUST IN: Aristotle claims the top spot in lean-eval, the Lean AI formalization leaderboard! Aristotle is getting stronger and more capable by the day, try it out for your formalization needs.
- Harmonic reposted
Happy to share that our paper “Mapping Uncharted Symmetries: Machine Discovery in Combinatorics” has been accepted to the ICML 2026 AI4Math Workshop. We study AI for discovery in algebraic combinatorics, with verification in @leanprover using @HarmonicMath’s Aristotle. 1/11 - NOW LIVE: Ask Mode for Aristotle Agent Get real-time insights into your agent's work without interrupting its execution with Ask Mode. If you need to change direction rather than just ask questions, Instruct Mode is still active to let you steer mid-run. Try it out and let us
- Formal verification is the future of cryptoWe at Protocol Snarkification - me and @alexanderlhicks, plus about 30 or so external collaborators - are working hard with formal verification to ship the highest-assurance zkVMs possible. (see end of thread for collaborators) (1/n)
- Fantastic to have Rustan Leino join us at @HarmonicMath to help advance AI ✕ mathematics ✕ verification.
- In the future, all critical software will be formally verified.As we discussed with @VitalikButerin on our Fireside, formal verification is a big positive outcome from AI that will more than counterbalance the effects of AI finding new bugs. I am strongly supportive of math AI tools like Aristotle from @HarmonicMath driving this forward.
- Mathematical superintelligence is nearer by the day. Wouter van Doorn presented at NYNTS how he used Aristotle to tackle an important unsolved problem in number theory. Check it out here:Today at the New York Number Theory Seminar, Wouter and Pietro were discussing their new paper. Really cool use of the AI-human feedback loop, with Aristotle as the main AI ingredient. I explained how I think formalization feels like doing the low-tech steps of algebraic
- ICYMI: A few quality of life improvements landed in Aristotle Web to make it much more interactive and responsive: ▪ Live Updates. Aristotle can now share updates while it's in the middle of a run, so that you always know what it's doing and whether it's on track. ▪
- Harmonic reposted
Today at the New York Number Theory Seminar, Wouter and Pietro were discussing their new paper. Really cool use of the AI-human feedback loop, with Aristotle as the main AI ingredient. I explained how I think formalization feels like doing the low-tech steps of algebraic
Here's what András Sárközy, Erdős's most prolific collaborator, asked 25 years ago: "How small can one make the maximal gap between the consecutive elements of a multiplicative Sidon set selected from {1, 2, ..., n}?" In particular: does there exist a multiplicative Sidon set A
