I am currently working on a paper, based on chapter 5 of my thesis, which I intend to submit to the journal Experimental Mathematics. This paper will present the numerical evidence I gathered during my PhD for the conjectures that the boundary of the Maskit slice is twisting (spiralling infinitely) almost everywhere, and has Hausdorff dimension less than 1.25.
Spirals in the boundary of quasifuchsian space
My paper Spirals in the boundary of slices of quasifuchsian space was published by the Journal of Conformal Geometry and Dynamics. The abstract reads:
We prove that the Bers and Maskit slices of the quasifuchsian space of a once punctured torus have a dense, uncountable set of points in their boundaries about which the boundary spirals infinitely.
You can download my version (slightly different to the published version) in PDF format (340k).
