Kathleen L. Petersen

activity

20052025

most citedOn Character varieties of two-bridge knot groups

51 citations · 61 across the 13 of their papers we have counts for

collaborators

Showing 2014Show all

3 papers · 1 filter

math.GT2014★ 9 cited

Character varieties of double twist links

Kathleen L. Petersen, Anh T. Tran

We compute both natural and smooth models for the $S L_{2} (C)$ character varieties of the two component double twist links, an infinite family of two-bridge links indexed as $…

math.GT2014

Gonality and genus of canonical components of character varieties

Kathleen L. Petersen, Alan W. Reid

Let M be a two cusped hyperbolic 3-manifold and let M(r) be the result of r Dehn filling of a fixed cusp of M. We study canonical components of the SL(2,C) character varieties of M…

math.NT2014

Equidistribution of Elements of Norm 1 in Cyclic Extensions

Kathleen L. Petersen, Christopher D. Sinclair

Upon quotienting by units, the elements of norm 1 in a number field $K$ form a countable subset of a torus of dimension $r_{1} + r_{2} - 1$ where $r_{1}$ and $r_{2}$ are the numbers of rea…