Will Johnson

collaborators

3 papers

math.LO2026

Weakly o-minimal fields have the exchange property but not generic differentiability

Will Johnson

We answer two open questions about weakly o-minimal fields posed by Macpherson, Marker, and Steinhorn: whether weakly o-minimal fields have the exchange property and whether they h…

math.LO2026

Dp-finite and Noetherian NIP integral domains

Will Johnson

We prove some results on NIP integral domains, especially those that are Noetherian or have finite dp-rank. If $R$ is an NIP Noetherian domain that is not a field, then $R$ is a se…

math.LO2024

Curve-excluding fields

Will Johnson, Jinhe Ye

If $C$ is a curve over $Q$ with genus at least $2$ and $C (Q)$ is empty, then the class of fields $K$ of characteristic 0 such that $C (K) = \emptyset$ has a mode…