Welcome! Basic info about me and this blog can be found in the "about me and this blog" page.
- Brief Introduction (BI)
- Expanded Outline (EO)
- hyperbolicity of complexes
- Just for fun
- random walks
- Why not donating your paper to the public domain?
Category Archives: Expanded Outline (EO)
This post is based on this paper with David Hume. As discussed here, it is a nice property for a group to be quasi-isometrically embeddable in a product of finitely many trees. Graph manifolds are certain 3-manifolds, and if you … Continue reading
In this post I’ll talk about this paper. There are many groups that have been known for quite a while to “look like” hyperbolic groups, but only in certain “directions”. Examples of such directions are (the axes of ) rank … Continue reading
There are a few types of quasi-isometric rigidity results. I will talk about results of the following kinds: 1) self-quasi-isometries of such-and-such space or group (coarsely) preserve some structure, usually a collection of (left cosets) of subgroups 2) if a … Continue reading
I’d like to tell you about a certain family of bilipschitz paths in universal covers of graph manifolds with nice “combinatorial” properties that I used here and later here, and that hopefully will turn out to be useful in other … Continue reading
This post is based on a joint work with John MacKay. It is still an open question whether or not all non-virtually-free hyperbolic groups contain a surface group. This is actually related to (and AFAIK inspired by) an important open … Continue reading