Will Johnson

activity

20112026

most citedOn dp-minimal fields

28 citations · 60 across the 11 of their papers we have counts for

collaborators

Showing 2023 · math.LOShow all

3 papers · 2 filters

math.LO2023

One-dimensional subgroups and connected components in non-abelian $p$ -adic definable groups

Will Johnson, Ningyuan Yao

We generalize two of our previous results on abelian definable groups in $p$ -adically closed fields to the non-abelian case. First, we show that if $G$ is a definable group that is…

math.LO2023

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…

math.LO2023

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…

One-dimensional subgroups and connected components in non-abelian p-adic definable groups

Curve-excluding fields

Dp-finite and Noetherian NIP integral domains

One-dimensional subgroups and connected components in non-abelian $p$ -adic definable groups