3 papers
math.CO2026
Asymptotics of the Meandering Number of a Cyclic Permutation
Charles Daly, Diaaeldin Taha
A cyclic meander is an embedded oriented loop in the plane intersecting a fixed infinite line, or circle, transversely in a linearly ordered set of points. By keeping track of…
math.RT2025
Minimal Faithful Representations of Split Extensions by Abelian Groups
Charles Daly, Justin Kingsnorth
Every finite group admits a representation which is 'most efficient' in the sense that the representation is faithful and the dimension is minimal. We call such representations min…
math.GT2024
Projective Rigidity of Once-Punctured Torus Bundles via the Twisted Alexander Polynomial
Charles Daly
In this paper we provide a means of certifying infinitesimal projective rigidity relative to the cusp for hyperbolic once punctured torus bundles in terms of twisted Alexander poly…