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Helmut H. W. Hofer

Publications and source records attributed to Helmut H. W. Hofer.

2 recordsLinked to original sources

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

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.

math.HO

Polyfolds and Fredholm Theory

We describe a (nonlinear) Fredholm theory for a new class of ambient spaces, as well as for a certain type of categories. The theory is illustrated by an application to the category of stable maps.

math.SG