Kathleen L. Petersen

collaborators

2 papers

math.NT2025

Minimal Mahler Measure in Quartic Galois Number Fields

Bishnu Paudel, Kathleen Petersen, Haiyang Wang

We explore the dependence of the minimal integral Mahler measure of Galois quartic fields on the discriminant of the field. We obtain density results which are conditional on the A…

math.GT2025

Geometric structures and $P S L_{2} (C)$ representations of knot groups from knot diagrams

Kathleen L. Petersen, Anastasiia Tsvietkova

We describe a new method of producing equations for the canonical component of representation variety of a knot group into $P S L_{2} (C)$ . Unlike known methods, this one does…

Minimal Mahler Measure in Quartic Galois Number Fields

Geometric structures and PSL2​(C) representations of knot groups from knot diagrams

Geometric structures and $P S L_{2} (C)$ representations of knot groups from knot diagrams