A concise summary of a field that underpins science, engineering, and everyday reasoning.
OpenAI has published a proposed solution to the Navier‑Stokes Millennium Prize problem after running roughly 10,000 internal AI agents for about 88 hours. Two mathematicians, Tristan Buckmaster and Levent Alpöge, have said OpenAI accelerated work after learning of their AI‑assisted progress and raised questions about whether de‑identified product data influenced the models.
UK A-level entries have reached a record high with top grades rising again. Maths remains the most popular subject, while the share of A/A* grades has increased. Boys lead in top grades, with economics and other quantitative subjects gaining traction as students weigh future job prospects.
Britain’s plan to replace repeated GCSE resits with Level 1 stepping-stone qualifications is moving forward, with details due. Critics warn of two-tier paths even as Labour pushes skills-focused reform and unions voice concerns about Neet numbers.
The Japan Times reports that AI is assisting mathematicians in solving long-standing problems, including the Jacobian conjecture, while the Guardian debates AI’s impact on the field’s human elements and the purpose of mathematical inquiry. The debate centers on whether AI will accelerate discovery or threaten the value of human understanding.
PISA 2025 data show England and some UK nations performing well in science, with Reading and Maths trailing in Wales, Scotland and Northern Ireland. England leads in science; Wales, Scotland and Northern Ireland trail in reading and maths. A global trend shows declines in reading proficiency, linked to digital distraction and shifting reading habits.
The OECD has released 2025 PISA results showing a global drop in reading, math, and science scores among 15-year-olds, with the United States experiencing a widening gap between low and high performers. The data link increased AI and social media use with weaker performance, while a minority of countries buck the trend.