Mathematics and AI
(Human Mathematics in presence of AI)
Collection of references to various opinions on how mathematical community could develop in presence of AI, exciting news, various dangers, ways to react to them and other initiatives.
Organizations
- Advisory Group on Mathematics and Artificial Intelligence, Institute for Advanced Study
- The Association for Human Mathematics (AHM)
Collective letters, declarations, reports
- Leiden Declaration on Artificial Intelligence and Mathematics, June 2, 2026
- A Severe Misalignment of AI in Mathematics, September 11, 2026
- Report of Summit on PhD Math Education in the Age of AI, September 17-18, 2026
Some papers/ esseys
- Jarod Alper, Embracing AI and formalization: Experimenting with tomorrow’s mathematical tools, Bull of AMS, 2026
- Maissam Barkeshli, Michael R. Douglas, Michael H. Freedman, Artificial Intelligence and the Structure of Mathematics, arXiv:2604.06107, April 7, 2026
- Alexander Bastounis, Fabian Circelli, Anders C. Hansen, Navier-Stokes lost in translation: Why Lean verification of AI autoformalisation does not guarantee correct natural language proofs, arXiv:2610.08144, October 6, 2026
- Axel Boldt, Explanations, Prompts, and Formalizations: Arguments for New Norms in LLM-enabled Mathematical Research, arXiv:2609.15289, September 14, 2026
- Davide Castelvecchi, Who gets credit in the AI era? OpenAI maths bombshell sparks debate, Nature, September 17, 2026
- Jordana Cepelewicz, Is AI the End of Math As We Know It?, Quanta Magazine, October 5, 2026
- J. Commelin, M. Jamnik, R. Ochigame, L. Taelman, A. Venkatesh, Shaping the Future of Mathematics in the Age of AI, arXiv:2603.24914, May 8, 2026
- Editorial, AI companies must work with the research community to protect attribution, Nature, September 16, 2026
- Pavel Etingof, Slava Gerovitch, Mathematics of the Future, October 6, 2026
- David Glickenstein, Mathematics Graduate Training in the Age of AI, arXiv:2609.21132, September 17, 2026
- Mateja Jamnik, The Leiden Declaration: mathematics, AI, and making our values explicit, Communications of the ACM (BLOG@CACM), August arXiv:2608.24961 25, 2026.
- Jiashun Jin, Zheng Tracy Ke, Bingcheng Sui, The Gold Rush in AI4Math: Where Are We Now?, arXiv:2608.24961, 25 June 2026.
- Kevin Hartnett, Sometimes Being First Means Seeing the End Before Anyone Else, in Quanta Magazine, July 23, 2026
- Michael Harris, Knowledge collapse,, Boston Review, June 10, 2026.
- Tanya Klowden, Terence Tao, Mathematical methods and human thought in the age of AI, arXiv:2603.26524 , March 27, 2026.
- Helmut H. W. Hofer, The Mathematician Leads: Building a Research Profile in the Age of Frontier AI, arXiv:2608.28369 , August 28, 2026.
- Joseph Howlett, If AI can do math, what’s the point of mathematicians? Scientific American, September 10, 2026
- Thomas Koberda, Training Mathematicians in the Age of AI: Intellectual Agency, Cognitive Offloading, and the PhD Thesis, arXiv:2609.28140, September 23, 2026
- David Larousserie, Des mathématiciens lancent un appel pour reprendre la main sur l’IA , (in French), Le Monde, 17 June 2026.
- Lionel Levine, Math for AI safety: an invitation for mathematicians, arXiv:2609.15289, September 14, 2026
- J. Miao, J. R. Davis, Y. Zhang, J. K. Pritchard, J. Zou, Reimagining research papers as interactive and reliable AI agents, Nature, September 16, 2026
- Stephen Ornes , The AI Was Fed Sloppy Code. It Turned Into Something Evil., in Quanta Magazine, August 13, 2025
- Siobhan Roberts, A call for action: the “Leiden Declaration on Artificial Intelligence and Mathematics”, Notices of AMS, 73(8), September 2026.
- Jim Portegies, How to prevent AI from harming mathematics , Nature, July 72, 2026
- Terence Tao, Mathematics in the age of AI , arXiv:2608.16753 , August 17, 2026
- Max Weinreich, The crisis of AI-generated mathematics, arXiv:2608.02859, August 3, 2026
Some papers from Industry:
- OpenAI, Manuscript collection, October 6, 2026
- Math Inc. Math, Inc.
- Open AI, An OpenAI model has disproved a central conjecture in discrete geometry, May 20, 2026
- Open AI, Ten advances in mathematics and theoretical computer science, August 1, 2026
- J. Liu, G. Gao, Z. Sun, B. Wu, S. Liu, J. Jiang, H. Ju, L. Chen, R. Cheng, X. Zhang, B. Dong, Danus: Orchestrating mathematical reasoning agents with fact-graph memory, July 8, 2026.
- Thang Luong and Vahab Mirrokni, Accelerating Mathematical and Scientific Discovery with Gemini Deep Think, February 11, 2026
Blogs:
- Proofs and prompts, blog
- Terence Tao, blog, mathstodon.xyz
- Terence Tao, "What's new", blog, Wordpress
Post and Discussions in other blogs:
- Benjamin Antieau, Fast math/slow math, September 15, 2026
- Benjamin Antieau, “Hexagon", October 6, 2026
- David Bessis, The fall of the theorem economy, April 21, 2026
- Frank Calegari, Ways to improve Mathematics (an introduction)Ways to improve Mathematics (an introduction), Persiflage, September 17, 2026
- Henry Cohn, The technical debt of AI-generated mathematics, September 15, 2026
- Noah Giansiracusa, Let the Diners Into the Kitchen, September 16, 2026
- Timothy Gowers, Why I didn’t sign the Fields medallists’ letter, September 17, 2026
- Tanya Khovanova, Swap Lectures with Homework, September 18, 2026
- Bryna Kra, Deep theorems were scarce and difficult and so became an effective mechanism to identify deep thought. AI has broken this system., September 13, 2026
- Daniel Litt, Mathematics in the Library of Babel, February 21, 2026
- Daniel Litt, The End of Mathematics, August 11, 2026
- Daniel Litt, A beginning for mathematics, September 13, 2026
- Amit Sahai, We’re gonna need a lot more mathematicians, September 24, 2026
- Grant Sanderson, If math is more than proof, we need to better celebrate the rest of it, September 18, 2026
- Igor Pak, What to expect in the AI era, September 15, 2026
- Christian Szegedy, Is Mathematics Over, or Just Graduating?, October 3, 2026
Some slides
- Terence Tao, Mathematics in the age of AI, July 24, 2026
Videos
- Terence Tao, Mathematics in the Age of AI, ICM 2026 Public Lectures, August 13, 2026
- Collection of videos, All in AI, on Numberphile, videos with Terence Tao, Hugo Duminil-Copin, Tristan Buckmaster, Tony Padilla...
Science fiction
- Rich Schwartz, The Fate of the Riemann Hypothesis, August 7, 2026 - Timestamp.
Please, send suggested links and corrections to Anna Felikson Page prepared with help of Joel Hass
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