Raymond McCulloch

I am a Post Doctoral Research Fellow in the Department of Mathematics at the University of Manchester. Previously I was a PhD student of Gareth Jones at the University of Manchester.

My research interests are in the interactions between Model Theory and Number Theory. More specifically I am interested in the definability of classical transcendental functions in the ordered real fields, definable integer valued functions, decidability, exponential algebraic closedness and sharp o-minimality.

Contact:

e-mail: raymond.mcculloch@manchester.ac.uk

Publications

Preprints

• Neer Bhardwaj, Raymond McCulloch, Nandagopal Ramachandran, Katharine Woo, Integer-valued o-minimal functions, arXiv:2404.10737 (2024)
• Raymond McCulloch, A nondefinability result for expansions of the ordered real field by the Weierstrass $\wp$-function, arXiv:2006.07437 (2020)

Teaching

Teaching Experience

As class lead

As Teaching Assistant