4 problems

Let $\mathcal R$ be an o-minimal expansion of a real closed field, and let $\mathcal M$ be a non-locally modular strongly minimal $\mathcal R$-relic, meaning a strongly minimal str…

Zilber's trichotomy principle relative to $T$. If $\mathcal P$ is strongly minimal and non-locally modular, then there is an infinite field interpretable in $\mathcal P$.

Let $\mathbb K$ and $\mathcal K$ be the ambient field and structure, and let $N$ be a $\mathbb K$-definable set of dimension one. Let $\mathcal N=(N,\ldots)$ be a strongly minimal,…

Valued-field version of Peterzil's conjecture. Then $M$ interprets a field.