Christian Greiffenhagen: Judging importance before checking correctness: quick opinions in mathematical peer review

RMZ Science Works · Oct 29, 2025 · 48m

Peer review has never been a uniform practice, but is now more diverse than ever. Despite a vast literature, little is known of how different disciplines organise peer review. This paper draws on 95 qualitative interviews with editors and publishers and several hundred written reports to analyse the organisation of peer review in pure mathematics. This article focuses on the practice of ‘quick opinions’ at top journals in mathematics: asking (senior) experts about a paper’s importance, and only after positive evaluation sending the paper for a full review (which most importantly means…