Sam Taylor

I am a fifth-year graduate student at the University of Texas at Austin under the direction of Alan Reid. My research interests include hyperbolic 3-manifolds, cubical geometry, mapping class groups, and geometric group theory. In particular, I am interested in analogies between surface topology/geometry (the mapping class group, Teichmuller space, the curve complex, etc.) and the corresponding objects in the study of Out(Fn).

  1. Convex cocompactness and stability in mapping class groups. With Matt Durham. Preprint, 2014. PDF.

  2. Small intersection numbers in the curve graph. With Tarik Aougab. Submitted, 2013. PDF. Arxiv Link

  3. A note on subfactor projections. To appear in Algebraic and Geometric Topology, 2013. PDF. Arxiv Link

  4. Products of Farey graphs are totally geodesic in the pants graph. With Alex Zupan. Submitted, 2013. PDF. Arxiv Link

  5. Convex cocompactness in mapping class groups via quasiconvexity in right-angled Artin groups. With Johanna Mangahas. Submitted, 2013. PDF. Arxiv Link

  6. Right-angled Artin groups and Out(F_n) I: quasi-isometric embeddings. To appear in Groups, Geometry, and Dynamics, 2013. PDF. Arxiv Link

  7. The Jones polynomial and boundary slopes of alternating knots. With Cynthia Curtis. Journal of Knot Theory and Its Ramifications, 2011. Arxiv Link

  8. The spiral index of knots. With Colin Adams et al. Math. Proc. of the Cambridge Philosophical Society, 2010. Arxiv Link

My email address is staylor AT math DOT utexas DOT edu.

Please email me if you have any questions/comments or if you'd like to see a copy of my research statement or CV.