Samuel Taylor


My name is Sam Taylor and I am an NSF postdoctoral fellow and Gibbs Assistant Professor at Yale University.
Before coming to Yale, I received my PhD in mathematics from the University of Texas at Austin under the direction of Alan Reid.

My research interests include geometric group theory, mapping class groups, hyperbolic 3-manifolds, cubical geometry, and dynamics. 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 the outer automorphism group of the free group. Below, you can find a list of my papers with links to the arXiv.

My email address is
My office is located in Leet Oliver Memorial Hall 219C.

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

Papers / Preprints:

  1. Height, width, and bounded packing for stable subgroups. With Mahan Mj.
    Preprint, 2016.  PDF. Arxiv Link

  2. Largest projections for random walks. With Alessandro Sisto.
    Submitted, 2016.  PDF. Arxiv Link

  3. Pulling back stability with applications to Out(F_n) and relatively hyperbolic groups. With Tarik Aougab and Matthew Durham.
    Submitted, 2016.  PDF. Arxiv Link

  4. Fibered faces, veering triangulations, and the arc complex. With Yair Minsky.
    Submitted, 2016.  PDF. Arxiv Link

  5. Counting loxodromics for hyperbolic actions. With Ilya Gekhtman and Giulio Tiozzo.
    Submitted, 2016.  PDF. Arxiv Link

  6. Effective Masur--Minsky distance formulas and applications to hyperbolic 3-manifolds. With Tarik Aougab and Richard Webb.
    Coming soon!

  7. The co-surface graph and the geometry of hyperbolic free group extensions. With Spencer Dowdall.
    J. Topol., to appear, 2016. PDF. Arxiv Link

  8. Pseudo-Anosovs optimizing the ratio of Teichmuller to curve graph translation length. With Tarik Aougab.
    Proc. Ahlfors--Bers Colloquium, to appear, 2015.  PDF. Arxiv Link

  9. Cannon--Thurston maps for hyperbolic free group extensions. With Spencer Dowdall and Ilya Kapovich.
    Israel J. Math, 216 (2016), no. 2, 753-797.  PDF. Arxiv Link

  10. Contracting orbits in Outer space. With Spencer Dowdall.
    Submitted, 2015. PDF. Arxiv Link

  11. Random extensions of free groups and surface groups are hyperbolic. With Giulio Tiozzo.
    Int. Math. Res. Notices (2016) 2016 (1): 294-310.  PDF. Arxiv Link

  12. The geometry of purely loxodromic subgroups of right-angled Artin groups. With Thomas Koberda and Johanna Mangahas.
    Trans. Amer. Math. Soc., to appear, 2014.  PDF. Arxiv Link

  13. Hyperbolic extensions of free groups. With Spencer Dowdall.
    Geom. Topol., to appear, 2014. PDF. Arxiv Link

  14. Small intersection numbers in the curve graph. With Tarik Aougab.
    Bull. London Math. Soc. 46 (2014), no. 5, 989-1002.  PDF. Arxiv Link

  15. Convex cocompactness and stability in mapping class groups. With Matthew Durham.
    Algebr. Geom. Topol. 15 (2015), no. 5, 2837-2857. PDF. Arxiv Link

  16. Products of Farey graphs are totally geodesic in the pants graph. With Alex Zupan.
    J. Topol. Anal. 08 (2016), no. 2, 287-313. PDF. Arxiv Link

  17. Right-angled Artin groups and Out(F_n) I: quasi-isometric embeddings.
    Groups Geom. Dyn. 9 (2015), no. 1, 275-316. PDF. Arxiv Link

  18. Convex cocompactness in mapping class groups via quasiconvexity in right-angled Artin groups. With Johanna Mangahas.
    Proc. London Math. Soc. 112 (2016), no. 5, 855-881. PDF. Arxiv Link

  19. A note on subfactor projections.
    Algebr. Geom. Topol. 14 (2014), no. 2, 805-821.  PDF. Arxiv Link

  20. The Jones polynomial and boundary slopes of alternating knots. With Cynthia Curtis.
    J. Knot Theory Ramifications 20 (2011), no. 10, 1345-1354. Arxiv Link

  21. The spiral index of knots. With Colin Adams et al.
    Math. Proc. Cambridge Philos. Soc. 149 (2010), no. 2, 297-315. Arxiv Link