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George Tsoukalas

@gtsoukal

AI for Science @ DeepMind, PhD Student @ UT Austin.
London georgetsoukalas.github.io Joined September 2022
361 Following 657 Followers 103 Posts

Latest posts 5

George Tsoukalas @gtsoukal
Excited AI-assisted breakthrough on the Grothendieck constant! This problem is extremely diverse in applications: from combinatorial optimization to functional analysis to the information capacity of quantum channels!
Rahul Saha @rah4927 Aug 14
The Grothendieck constant is 1.7...!
We are excited to share this breakthrough on a 70 year-old problem discovered through a year-long human-AI collaboration.
We publish both the math and AI setup because academics should shape AI-assisted research to keep it fundamentally human.
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George Tsoukalas @gtsoukal
Incredibly proud of the team’s efforts!

The core belief in AlphaProof Nexus is that rigorous machine correctness is a fundamental component for AI, allowing us to safely push the boundaries of knowledge through anchoring in verifiable truth.
Pushmeet Kohli Verified account @pushmeet May 25
AI agents are advancing research-level math. 🚀

I’m thrilled to share @GoogleDeepMind’s AlphaProof Nexus - an agentic framework for formal proof search powered by Gemini.

When applied to a set of open formal math problems, our agent autonomously solved:
✅ 9 open Erdős problems (including two open for 56 years!)
✅ 44 Online Encyclopedia of Integer Sequences (OEIS) problems
✅ A 15-year-old open problem in algebraic geometry ✅ A 7-year-old open question in min-max optimization

We are collaborating with mathematicians across disciplines - from combinatorics and graph theory to quantum optics. Ultimately, these results show the massive potential of even simple agentic loops powered by Gemini.

Read the paper here: arxiv.org/abs/2605.22763…
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George Tsoukalas @gtsoukal
15 misformalizations in PutnamBench (roughly 2% of benchmark) have been fixed, thanks to Logical Intelligence for contributing the changes, which were identified by their Aleph Prover system (as it happens, also presently the strongest approach on the PB leaderboard)!
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