In this paper we obtain uniform positive lower bounds on the stable commutator length of
elements in word-hyperbolic groups and certain groups acting on hyperbolic spaces …

We discuss a number of open problems about mapping class groups of surfaces. In
particular, we discuss problems related to linearity, congruence subgroups, cohomology …

We consider the pseudo-Anosov elements of the mapping class group of a surface of genus
that fix a rank subgroup of the first homology of the surface. We show that the smallest …

We establish bounds on the minimal asymptotic pseudo-Anosov translation lengths on the
complex of curves of orientable surfaces. In particular, for a closed surface with genus g≥ 2 …

We provide a simple criterion for an element of the mapping class group of a closed surface
to have normal closure equal to the whole mapping class group. We apply this to show that …

We give a new proof of a celebrated theorem of Dennis Johnson that asserts that the kernel
of the Johnson homomorphism on the Torelli subgroup of the mapping class group is …

We provide a simple criterion for an element of the mapping class group of a closed surface
to be a normal generator for the mapping class group. We apply this to show that every …

Let M be a hyperbolic fibered 3–manifold. We study properties of sequences (S α n, ψ α n) of
fibers and monodromies for primitive integral classes in the fibered cone of M. The main …

This paper has two main goals. First, we give a complete, explicit, and computable solution
to the problem of when two simple closed curves on a surface are equivalent under the …

We prove that the dilatation of any pseudo-Anosov homeomorphism on a translation surface
that belongs to a hyperelliptic component is bounded from below uniformly by 2. This is in …