This is under construction.

  • I am interested in geometric group theory and low dimensional topology. Specific topics include hyperbolic groups (and their subgroups), free-by-free/free-by-cyclic groups, Artin groups, CAT(0) groups, isoperimetric inequalities of groups, finiteness properties of groups, automatic and biautomatic groups, cubical complexes...

    Here is a list of my papers and preprints

  • There are good online resources for low-dimensional topology and geometric group theory.

    There are problem lists available at New York Group Theory Cooperative page, on Mladen Bestvina's page, and on Rob Kirby's page.

    Jon McCammond maintains a Geometric Group Theory resource page. You can learn all about the geometric group theory (and low dimensional topology) community there; people, conferences, problem lists, journals etc.

    Mark Brittenham maintains a Low Dimensional Topology page.

  • I have three graduate students who are thinking about topics in geometric group theory;
    TaraLee Mecham, Antara Mukherjee, and Sang Rae Lee.

  • In Spring 2008 my student, Eduardo Martinez, completed his PhD thesis on combination theorems for quasi-convex subgroups of relatively hyperbolic groups. He is currently a post-doctoral associate at McMaster University.

  • You can find out the current schedule of the OU Geometry and Topology Seminar.