Benjamin Castle

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20222024

most citedRestricted Trichotomy in Characteristic Zero

2 citations · 2 across the 3 of their papers we have counts for

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math.LO2024

The O-minimal Zilber Conjecture in Higher Dimensions

Benjamin Castle

We prove the higher dimensional case of the o-minimal variant of Zilber's Restricted Trichotomy Conjecture. More precisely, let $R$ be an o-minimal expansion of a real clo…

math.LO2023

Model Theory of Complex Numbers with Polynomial Functions

Benjamin Castle, Chieu-Minh Tran

Let $C$ be the set of complex numbers, and let $P$ be a collection of complex polynomial maps in several variables. Assuming at least one $P \in P$ depends…

math.LO2022★ 2 cited

Restricted Trichotomy in Characteristic Zero

Benjamin Castle

We prove the characteristic zero case of Zilber's Restricted Trichotomy Conjecture. That is, we show that if $M$ is any non-locally modular strongly minimal structure inte…