4 papers
Three thousand obstructions to knotless embedding
Thomas W Mattman, Andrei Pavelescu
We present a list of 3028 obstructions to knotless embedding. We survey recent work in this area including: 1) A bibliography of graphs proven to be intrinsically knotted without r…
Galois theory by calculator
Thomas W. Mattman, Dylan Robertson-Figaniak, Zoe Steele
We present an algorithm to determine the Galois group of an irreducible monic polynomial of degree at most five. Following work of Conrad, Dummit, and Stau…
Boundary slopes (nearly) bound exceptional slopes
Kazuhiro Ichihara, Thomas W. Mattman
For a hyperbolic knot in , Dehn surgery along slope $r \in \Q \cup \{\frac10\}$ is {\em exceptional} if it results in a non-hyperbolic manifold. We say meridional surgery, $r…
Ihara zeta functions for some simple graph families
Maize Chico, Thomas W. Mattman, Alex Richards
The reciprocal of the Ihara zeta function of a graph is a polynomial invariant introduced by Ihara in 1966. Scott and Storm gave a method to determine the coefficients of the polyn…