Mailing Address:
Harvard University
Department of Mathematics
1 Oxford St
Cambridge, MA 02143
Here are my papers.
"Class field theory and the MKR dictionary for knots." This was my minor thesis at Harvard. I am not a number theorist and I expect that there are many mistakes and inaccurate statements contained therein. It is expository and does not contain many proofs. pdf "Notes on recent work of Dani Wise." These are some recent expository notes which contain a new theorem as well. This is a new version, fixing two minor errors in the first version. The corrections are: 1. one needs a relative version of the main theorem to establish virtual fibering of cusped hyperbolic 3-manifolds, and 2. graph groups are residually finite rationally solvable, but it is not because they are residually torsion-free nilpotent. pdf "Residual properties of 3-manifold groups I: Fibered and hyperbolic 3-manifolds." (Preprint) arXiv link "Representations of Galois Groups on the Homology of Surfaces." Joint with A. Silberstein. (Preprint) arXiv link "Effective indices of subgroups in one-relator groups with free quotients." (Preprint) arXiv link"Asymptotic linearity of the mapping class group and a homological version of the Nielsen-Thurston classification." (Preprint) arXiv link
"On ergodic transformations that are both weakly mixing and uniformly rigid." Joint with J. James, K. Lindsey, C.E. Silva and P. Speh. (New York Journal of Mathematics 15 (2009) 393-403) NYJM link
"Measurable Sensitivity." Joint with J. James, K. Lindsey, C.E. Silva and P. Speh. (Proceedings of the American Mathematical Society 136 (2008) 3549-3559) Proceedings link