Open problems in mathematics, updated daily.
MathOpen monitors 80+ sources including arXiv preprints across 11 mathematical subfields, research blogs by leading mathematicians, and major math journalism outlets. Every day, new papers are summarized and open problems are surfaced using AI.
The core idea: arXiv receives hundreds of new math papers daily. Most are written for specialists. The open questions buried in those papers, in the future directions sections and the gaps between results, are invisible to everyone outside the specialty. MathOpen reads them and makes those questions visible.
AI-generated open problems on MathOpen emerge from real papers. They are not guaranteed to be unsolved; some may be trivial, some may already have answers in the literature. They are starting points for exploration, not peer-reviewed claims.
Sources include: arXiv (math.NT, math.CO, math.AG, math.AP, math.AT, math.GR, math.LO, math.PR, math-ph, math.DG, math.FA), Quanta Magazine, Plus Magazine, Terence Tao's blog, Gil Kalai's blog, Scott Aaronson's blog, John Baez's Azimuth, and more.