Can maths survive AI? Fields medallist Terence Tao calls for a ‘Maths 2.0’ world

Nature, Published online: 22 October 2026; doi:10.1038/d41586-026-03389-1As machines race ahead in solving problems, mathematicians must establish a new era that prizes human understanding over simply publishing more solutions.

Nature, Published online: 22 October 2026; doi:10.1038/d41586-026-03389-1

As machines race ahead in solving problems, mathematicians must establish a new era that prizes human understanding over simply publishing more solutions.

Teen depression and anxiety predicted by childhood brain development

Nature, Published online: 22 October 2026; doi:10.1038/d41586-026-03357-9Analysis of nearly 30,000 brain scans yields detailed timeline of how the brain matures — and hints at the consequences of disrupting it.

Nature, Published online: 22 October 2026; doi:10.1038/d41586-026-03357-9

Analysis of nearly 30,000 brain scans yields detailed timeline of how the brain matures — and hints at the consequences of disrupting it.

To heal sick cities, scientists and residents must work together

Nature, Published online: 21 October 2026; doi:10.1038/d41586-026-03161-5Tolullah Oni has developed a platform to transfer the intellectual capital of African diaspora scholars back to the continent.

Nature, Published online: 21 October 2026; doi:10.1038/d41586-026-03161-5

Tolullah Oni has developed a platform to transfer the intellectual capital of African diaspora scholars back to the continent.

Additive manufacturing of ultralong and architected single crystals

Nature, Published online: 21 October 2026; doi:10.1038/s41586-026-11185-0A free-form additive manufacturing method that uses alternating and pulsed heat inputs is described for fabricating metre-tall, centimetre-diameter single crystal…

Nature, Published online: 21 October 2026; doi:10.1038/s41586-026-11185-0

A free-form additive manufacturing method that uses alternating and pulsed heat inputs is described for fabricating metre-tall, centimetre-diameter single crystals of Ti-6Al-4V, as well as hard-to-process refractory metals, including W, Mo, Nb and MoNb alloys.

Enzyme-embedded polyesters for accelerated biodegradation in the deep sea

Nature, Published online: 21 October 2026; doi:10.1038/s41586-026-11192-1Near-complete deep-sea degradation of enzyme-embedded compostable polyesters shows that thermal enzyme embedding greatly accelerates breakdown across marine envir…

Nature, Published online: 21 October 2026; doi:10.1038/s41586-026-11192-1

Near-complete deep-sea degradation of enzyme-embedded compostable polyesters shows that thermal enzyme embedding greatly accelerates breakdown across marine environments while preserving material performance, offering a promising strategy to mitigate persistent ocean plastic pollution.