Gil Kalai
Israeli mathematician working in combinatorics, convexity and the theory of quantum noise, at the Hebrew University of Jerusalem and Reichman University. Long argues that noise will prevent scalable quantum computers. Writes the Combinatorics and More blog.
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What they believe
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The increasing role of AI in mathematics is a major event that may be a crisis, an opportunity, or both.
The increasing role of AI in mathematics is a major event in our lives, perhaps a crisis, perhaps an opportunity, and probably both.
gilkalai.wordpress.comSaid 22 Sept 2026This on korrents
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AI-driven collaborative research models can enhance collective mathematical efforts and accelerate research progress.
such models can now be enhanced by the evolving capabilities of AI to accelerate research progress while offering developers a space to refine these tools through real-world academic interaction.
gilkalai.wordpress.comSaid 3 Apr 2026This on korrents
The bold line is korrents’ wording; the quote is theirs. These 2: what they wrote before what they said aloud, one per source, newest first.
Beliefs
Korrents What they believe 8 beliefs — each backed by an exact quote.
Each is a — compiled by korrents.com, not by them: the one-line wordings are korrents', the quotes are theirs.
Recent
The increasing role of AI in mathematics is a major event that may be a crisis, an opportunity, or both.
The increasing role of AI in mathematics is a major event in our lives, perhaps a crisis, perhaps an opportunity, and probably both.
Combinatorics and more Said 22 Sept 2026
AI tools can come up with interesting and useful mathematical problems and conjectures.
My overall impression is that in the course of working, AI tools come up with interesting and useful problems and conjectures- and occasionally answer them effectively.
Combinatorics and more Said 22 Sept 2026
The potential for AI to harm the field of mathematics is real.
The potential for AI to harm the field is real, and I have no desire to downplay that danger.
Combinatorics and more Said 22 Sept 2026
Show 5 more
AI-driven collaborative research models can enhance collective mathematical efforts and accelerate research progress.
such models can now be enhanced by the evolving capabilities of AI to accelerate research progress while offering developers a space to refine these tools through real-world academic interaction.
Combinatorics and more Said 3 Apr 2026
Raw data for experiments should generally be made publicly available.
As a general rule, raw data for such experiments should be publicly available.
Combinatorics and more Said 10 Mar 2026
The Google 2019 experiment may have been flawed.
Our findings indicate that the experiment may indeed have been flawed.
Combinatorics and more Said 10 Mar 2026
Nature may not permit the quadratic suppression of error rates when entanglement is generated indirectly.
My conjecture asserts that nature does not permit such quadratic suppression. Even when entanglement is generated indirectly-through mediating qubits, measurement, feedforward, or clever circuit identities-the resulting Bell state on the two physical qubits still carries an intrinsic order- probability that both qubits are replaced by the maximally mixed state.
Combinatorics and more Said 6 Mar 2026
If the Fully Depolarizing Noise Conjecture is true, correlated depolarizing noise on pairs of qubits could make quantum error correction significantly more difficult than currently assumed.
If true, this would have severe consequences for quantum error correction: correlated depolarizing noise on pairs of qubits is far more damaging than the quasi-independent noise assumed in threshold theorems.
Combinatorics and more Said 6 Mar 2026
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Where they publish
Blog Combinatorics and More Several posts a month on combinatorics, AI progress in mathematics and his quantum-computing skepticism
Link verified 24 Oct 2026.
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