On irregular links at infinity of algebraic plane curves.
On iterated torus knots and transversal knots.
On J.H.C. Whitehead's aspherical question I.
On Khovanov's categorification of the Jones polynomial.
On Klein Surfaces and Dihedral Groups.
On knot Floer homology and cabling.
On linked Jordan curves in
On links with one codimension two compontent.
On malnormal peripheral subgroups of the fundamental group of a -manifold
Let be a non-trivial knot in the -sphere, its exterior, its group, and its peripheral subgroup. We show that is malnormal in , namely that for any with , unless is in one of the following three classes: torus knots, cable knots, and composite knots; these are exactly the classes for which there exist annuli in attached to which are not boundary parallel (Theorem 1 and Corollary 2). More generally, we characterise malnormal peripheral subgroups in the fundamental group of a...
On manifold spines and cyclic presentations of groups
This is a survey of results and open problems on compact 3-manifolds which admit spines corresponding to cyclic presentations of groups. We also discuss questions concerning spines of knot manifolds and regular neighborhoods of homotopically PL embedded compacta in 3-manifolds.
On maximal fibred submanifolds of a knot exterior.
On McMullen's and other inequalities for the Thurston norm of link complements.
On monodromy of complex projective structures.
On Murasugi's and Traczyk's Criteria for Periodic Links.
On non-separating simple closed curves in a compact surface.
On numerical invariants for knots in the solid torus
We define some new numerical invariants for knots with zero winding number in the solid torus. These invariants explore some geometric features of knots embedded in the solid torus. We characterize these invariants and interpret them on the level of the knot projection. We also find some relations among some of these invariants. Moreover, we give lower bounds for some of these invariants using Vassiliev invariants of type one. We connect our invariants to the bridge number in the solid torus. We...
On One-Relator Groups which Satisfy Poincaré Duality.
On Periodic Knots
On planarity of graphs in 3-manifolds.
On Poincaré 3-Complexes with Binary Polyhedral Fundamental Group.