Frank Calegari
Mathematician proposing changes to hiring, journals and education when AI makes proof production cheaper; guest author on Terence Tao’s blog.
Mathematician working in algebraic number theory and the Langlands program. Author of “Mathematics has changed. Let’s act like it” (November 1, 2026), a guest essay hosted on Terence Tao’s blog; Tao is the host, not the author of the essay.
Institutional response to AI
Calegari argues that cheaper proof production should change what mathematical institutions reward: worthwhile questions, structural understanding, broader research programs, clear exposition, and responsibility for results rather than theorem counts alone. His proposals are collected in AI, Mathematics and Research Incentives.
He recommends treating all research as potentially AI-assisted, assessing candidates through direct mathematical interactions, raising journal standards, broadening graduate education without dropping technical skills, and making seminars explain the surrounding landscape.
Connections and limits
His distinction between generating proofs and understanding them connects to Cognitive Surrender. His defence of technical apprenticeship alongside broader knowledge complements AI Education With and Without Machines. His recognition of cultural loss relates to AI Job Grief, although this essay is an optimistic institutional proposal rather than a study of displacement.
This is a single opinion essay. Its reports of particular AI research releases and their mathematical significance have not been independently checked in this ingest.
Mentioned in 4 pages
Thinking next to AI