3 papers
math.CV2026
On Simply Connected Domains Supporting an Unbounded Analytic Function with Bounded Derivative
Cameron MacMahon
In this paper we provide a geometric characterization of simply connected domains in the complex plane supporting an unbounded analytic function with bounded derivative, providing…
math.GT2026
Convex Hull Volumes in Hyperbolic 3-Space
Cameron MacMahon
In this paper we provide a geometric condition satisfied by certain closed subsets of the Riemann sphere which implies that their hyperbolic convex hulls in have inf…
math.DG2024
Topological Obstructions to the Existence of Compact Shrinking Ricci Solitons in Dimension Four
Cameron MacMahon
This undergraduate thesis is focused on introducing the reader to concepts related to the search for topological obstructions to the existence of compact gradient shrinking Ricci s…