Raymond McCulloch

activity

20202025

collaborators

3 papers

math.LO2025

Sharp o-minimality and lattice point counting

Andrew Harrison-Migochi, Raymond McCulloch

Let $Λ \subseteq R^{n}$ be a lattice and let $Z \subseteq R^{m + n}$ be a definable family in an o-minimal expansion of the real field, $R$ . A result…

math.LO2024

Integer-valued o-minimal functions

Neer Bhardwaj, Raymond McCulloch, Nandagopal Ramachandran +1

We study $R_{an, e x p}$ -definable functions $f : R \to R$ that take integer values at all sufficiently large positive integers. If $|f(x)|= O\big(2^…

math.LO2020

A nondefinability result for expansions of the ordered real field by the Weierstrass $℘$ function

Raymond McCulloch

Suppose that $Ω$ is a complex lattice that is closed under complex conjugation and that $I$ is a small real interval, and that $D$ is a disc in $C$ . Then the restriction…

Sharp o-minimality and lattice point counting

Integer-valued o-minimal functions

A nondefinability result for expansions of the ordered real field by the Weierstrass ℘ function

A nondefinability result for expansions of the ordered real field by the Weierstrass $℘$ function