These ten are just the latest in a rapidly growing list of mathematical breakthroughs made by generative artificial intelligence (AI) systems. Growing concern – but little consensusAmong working mathematicians, there is little consensus about the answers. Working out where AI fitsEach of these collaborations produced important mathematical advances, yet they embody starkly contrasting attitudes to generative AI. One deliberately excluded the technology on ethical grounds, while the other embraced it as an indispensable research partner, without abandoning the etiquette of mathematical research. The conversation is no longer about whether LLMs are capable of contributing to mathematics research.