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Leiden Declaration on Artificial Intelligence and Mathematics

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Abstract

This declaration calls for action to address the challenges posed by the use of artificial intelligence within mathematics research. Technological developments have repeatedly transformed the practice of mathematics. Recent artificial intelligence technologies, including symbolic and neural methods for the generation and formalization of mathematics, may already have initiated a significant chapter in this long history. Among researchers, artificial intelligence has produced a wide range of reactions: enthusiasm for its potential to yield new discoveries; intimidation by the pace of developments; indifference to these rapid changes; and concern for the implications, both for mathematics and in wider society. Mathematicians have a choice about whether and how to adopt artificial intelligence in the conduct of their research. They also have a responsibility to ensure the continued flourishing of the discipline. This Declaration calls upon mathematicians to exercise this responsibility, and provides recommendations for individuals, institutions, government, and industry. Although we adopt the perspective of mathematical research, much of what we write applies equally to other aspects of mathematics. This includes work in the broader mathematical sciences, education, mentoring, publishing, funding, science policy, and use of mathematics in the wider world.

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BibTeX
@misc{alper2026leiden,
  title = {{Leiden Declaration on Artificial Intelligence and Mathematics}},
  author = {Jarod Alper and Michael Barany and Alain Chavarri Villarello and Sander Dahmen and Walter Dean and Karthik Ganapathy and Michael Harris and David Holmes and Mateja Jamnik and Steven Kelk and Bryna Kra and Ursula Martin and Bartosz Naskręcki and Rodrigo Ochigame and Jim Portegies and Johannes Schmitt},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.35334},
  eprint = {2609.35334},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.35334},
}
RIS
TY  - UNPB
TI  - Leiden Declaration on Artificial Intelligence and Mathematics
AU  - Jarod Alper
AU  - Michael Barany
AU  - Alain Chavarri Villarello
AU  - Sander Dahmen
AU  - Walter Dean
AU  - Karthik Ganapathy
AU  - Michael Harris
AU  - David Holmes
AU  - Mateja Jamnik
AU  - Steven Kelk
AU  - Bryna Kra
AU  - Ursula Martin
AU  - Bartosz Naskręcki
AU  - Rodrigo Ochigame
AU  - Jim Portegies
AU  - Johannes Schmitt
PY  - 2026
DA  - 2026/09/30
PB  - arXiv
DO  - 10.48550/arxiv.2609.35334
UR  - https://arxiv.org/abs/2609.35334
AB  - This declaration calls for action to address the challenges posed by the use of artificial intelligence within mathematics research. Technological developments have repeatedly transformed the practice of mathematics. Recent artificial intelligence technologies, including symbolic and neural methods for the generation and formalization of mathematics, may already have initiated a significant chapter in this long history. Among researchers, artificial intelligence has produced a wide range of reactions: enthusiasm for its potential to yield new discoveries; intimidation by the pace of developments; indifference to these rapid changes; and concern for the implications, both for mathematics and in wider society. Mathematicians have a choice about whether and how to adopt artificial intelligence in the conduct of their research. They also have a responsibility to ensure the continued flourishing of the discipline. This Declaration calls upon mathematicians to exercise this responsibility, and provides recommendations for individuals, institutions, government, and industry. Although we adopt the perspective of mathematical research, much of what we write applies equally to other aspects of mathematics. This includes work in the broader mathematical sciences, education, mentoring, publishing, funding, science policy, and use of mathematics in the wider world.
ER  -