C. Steinhorn

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math.LO2026

Finding suitably generic points on curves with an application to the construction of rigid real closed fields

Dragos Ghioca, David Marker, Charles Steinhorn

Let $K$ be an algebraically closed field of characteristic 0 and transcendence degree at least 2. Let $C \subset K^{2}$ be an irreducible curve defined over $K$ but not defined over t…

math.LO2026

Rigid Real Closed Fields

David Marker, Charles Steinhorn

We construct a non-Archimedean real closed field of transcendence degree two with no non-trivial automorphisms

math.LO2024

Multidimensional asymptotic classes

Sylvy Anscombe, Dugald Macpherson, Charles Steinhorn +1

We develop a general framework (multidimensional asymptotic classes, or m.a.c.s) for handling classes of finite first order structures with a strong uniformity condition on cardina…