Blake Mellor

A geometric interpretation of Milnor's triple linking numbers

Milnors triple linking numbers of a link in the 3-sphere are interpreted geometrically in terms of the pattern of intersections of the Seifert surfaces of the components of the link. This generalizes the well known formula as an algebraic count of triple points when the pairwise linking numbers vanish.

Complete Graphs whose Topological Symmetry Groups are Polyhedral

We determine for which

On the Existence of Finite Type Link Homotopy Invariants

m

Weight Systems for Milnor Invariants

, the complete graph

Intersection Graphs for String Links

K_m

Intrinsic linking and knotting in virtual spatial graphs

has an embedding in

Tree Diagrams for String Links

S^3

Intrinsic linking and knotting of graphs in arbitrary 3–manifolds

whose topological symmetry group is isomorphic to one of the polyhedral groups:

Using tiling theory to generate angle weaves with beads

A_4

The Alexander polynomial for Virtual Twist Knots

,