Math, Inc.
@mathematics_inc
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A new company dedicated to autoformalization and the creation of verified superintelligence.
Palo Alto, CA
Joined September 2025
Today we're announcing Gauss, our first autoformalization agent that just completed Terry Tao & Alex Kontorovich's Strong Prime Number Theorem project in 3 weeks—an effort that took human experts 18+ months of partial progress.
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The future of mathematics
🚨 BREAKING: Fields medalist Terry Tao on how mathematics will change: “When these tools are perfected, we will change the way we do mathematics. If there's a drudgery or a big computation, we'll just hit it with all our technology and say: 'By Gauss, you can get from here to
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And the future accelerates!
And the proof Gauss wrote was surprisingly efficient, in just 6 hours! https://t.co/8WfdND90H2 If Dvir had access to Gauss, he could have published his breakthrough proof, with a certification of correctness in real time. (5/5)
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what really stood out to me here was the casualness of autoformalizing this with a formal proof almost as compact as the Dvir's original. what if all math research could be done this way? this is why @mathematics_inc exists.
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And the proof Gauss wrote was surprisingly efficient, in just 6 hours! https://t.co/8WfdND90H2 If Dvir had access to Gauss, he could have published his breakthrough proof, with a certification of correctness in real time. (5/5)
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Contribute to math-inc/KakeyaFiniteFields development by creating an account on GitHub.
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Before, both Terence Tao (Fields medal 2006) and Jean Bourgain (Fields medal 1994) had been stuck making minor improvements on the problem for years. At the time, Dvir was just a PhD student! (4/5)
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The Kakeya conjecture for finite fields was solved in all dimensions simultaneously by Dvir in 2008. Dvir’s proof came as a shock to the math world. (3/5)
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The Kakeya conjecture was originally posed in 1917. It was solved in 2 dimensions almost 100 years ago. But just this year in 2025, Wang & Zahl solved it for 3 dimensions. (2/5)
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🚀 Gauss just autoformalized the proof of the Kakeya conjecture for finite fields! 🧵 (1/5)
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What I loved about this part of the conversation with Terry is idea of formalization as a tool for mathematical thought. Technology that brings previously inhospitable terrain within reach. If calculation was a way of seeing for von Neumann, why shouldn't mechanized proofs too
🚨 BREAKING: Fields medalist Terry Tao on how mathematics will change: “When these tools are perfected, we will change the way we do mathematics. If there's a drudgery or a big computation, we'll just hit it with all our technology and say: 'By Gauss, you can get from here to
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A new golden age for mathematics is dawning
🚨 BREAKING: Fields medalist Terry Tao on how mathematics will change: “When these tools are perfected, we will change the way we do mathematics. If there's a drudgery or a big computation, we'll just hit it with all our technology and say: 'By Gauss, you can get from here to
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We're excited to see #LeanLang being used by @mathematics_inc in Gauss, their autoformalization agent - and more of this great interview with Terence Tao on the importance of formalizing in the future of #mathematics and #AI.
🚨 BREAKING: Fields medalist Terry Tao on how mathematics will change: “When these tools are perfected, we will change the way we do mathematics. If there's a drudgery or a big computation, we'll just hit it with all our technology and say: 'By Gauss, you can get from here to
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🚨 BREAKING: Fields medalist Terry Tao on the future of mathematics (3/3): “I got convinced that this was the future of mathematics and I started giving interviews about this. It's a different style of writing proofs that actually is in some ways easier to read—harder to
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🚨 BREAKING: Fields medalist Terry Tao on democratizing mathematics with AI (2/3): “Formalization and AI really enable seamless collaboration between people of very different skill sets. In a true division of labor, mass production specialization, you have people who manage
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🚨 BREAKING: Fields medalist Terry Tao on how mathematics will change: “When these tools are perfected, we will change the way we do mathematics. If there's a drudgery or a big computation, we'll just hit it with all our technology and say: 'By Gauss, you can get from here to
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For Kakeya, before Wang-Zahl (2026) there was Dvir (2008): Dvir solved the Kakeya conjecture over finite fields...as a PhD student! This was a shock. Prior to Dvir's proof, Fields medallists Terry Tao and Jean Bourgain had been stuck making minor improvements for years.
The Kakeya conjecture was solved this year in 3-dimensions by Wang & Zahl. I was super surprised, since I remember back in undergrad learning about the 2-dimensional solution solved 100 years ago, and the field being stuck since. Sometimes breakthroughs do happen!
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