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arXiv · 2608.28369

The Mathematician Leads: Building a Research Profile in the Age of Frontier AI

Helmut H. W. Hofer
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Abstract

I propose that mathematicians who use AI in research maintain a research profile: a record of what the system has learned about working with them, where those lessons came from, and whether they remain useful. I describe how such a profile grew out of my own mathematical work, through corrections, failed approaches, and repeated attempts to keep difficult ideas from drifting toward easier ones. The profile is not a portrait of the mathematician and does not replace mathematical judgment. It belongs under the mathematician's control and must remain open to revision. I invite others to develop profiles of their own and report what they learn.

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Helmut H. W. Hofer. 2026-08-28. The Mathematician Leads: Building a Research Profile in the Age of Frontier AI. https://arxiv.org/abs/2608.28369

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