2 citations · 2 across the 3 of their papers we have counts for
3 papers
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 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 be the set of complex numbers, and let be a collection of complex polynomial maps in several variables. Assuming at least one 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 is any non-locally modular strongly minimal structure inte…