Knots and links in Seifert fibred spaces

Motivated by the study of rod packing structures in crystallography and material science, we consider crystal structures as links in the 3-torus, which are collections of loops sitting in a cube with opposite faces glued in a natural way. This thesis presents results on the hyperbolic geometry, classification, and volume estimates of the link complements in the 3-torus, which are 3-dimensional spaces obtained by removing the one-dimensional loops from the 3-torus. Recent results related to link complements in other spaces such as the 3-sphere and the unit tangent bundle of the modular surface are also presented.