5 citations · 20 across the 9 of their papers we have counts for
9 papers
Singularities and Catastrophes in Economics: Historical Perspectives and Future Directions
Michael S. Harré, Adam Harris, Scott McCallum
Economic theory is a mathematically rich field in which there are opportunities for the formal analysis of singularities and catastrophes. This article looks at the historical cont…
Ricci-Positive geodesic flows and point-completion of static monopole fields
Kumbu Dorji, Adam Harris
We use methods of complex analysis to extend the bundle structure across a removable point-singularity in a Sasakian three-manifold.
Categoricity and covering spaces
Adam Harris
This thesis develops some of the basic model theory of covers of algebraic curves. In particular, an equivalence between the good model-theoretic behaviour of the modular j-functio…
Conformal great circle flows on the three-sphere
Adam Harris, Gabriel P. Paternain
We consider a closed orientable Riemannian 3-manifold and a vector field with unit norm whose integral curves are geodesics of . Any such vector field determines nat…
Categoricity of the two sorted j-function
Adam Harris
We show that a natural, two sorted $\cL_{ω_1,ω}$ theory involving the modular -function is categorical in all uncountable cardinaities. It is also shown that a slight weakening…
A short proof of the thumbtack lemma
Adam Harris
We give a short proof of the main algebraic result of \cite{zilber2006covers}, also known as the `thumbtack lemma'.