Hello!
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.
Starting July 2017, I will be an Assistant Professor in the
Mathematics Department at Temple University.
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 s.taylor@yale.edu.
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:
- Rank and Nielsen equivalence in hyperbolic
extensions. With Spencer Dowdall.
Preprint, 2017. PDF.
Arxiv Link
- Effective Masur--Minsky distance formulas and
applications to hyperbolic 3-manifolds. With Tarik Aougab and
Richard Webb.
Preliminary draft, 2017. PDF.
- Largest projections for random walks and
shortest curves in random mapping tori. With Alessandro Sisto.
Math. Res. Lett., to appear, 2017. PDF. Arxiv Link
- Intersection properties of stable subgroups
and bounded cohomology. With Yago Antolin, Mahan Mj, and
Alessandro Sisto.
Indiana Univ. Math. J., to appear, 2017. PDF. Arxiv Link
- Pulling back stability with applications to
Out(F_n) and relatively hyperbolic groups. With Tarik Aougab
and Matthew Durham.
Submitted, 2016. PDF.
Arxiv Link
- Fibered faces, veering triangulations, and
the arc complex. With Yair Minsky.
Submitted, 2016. PDF. Arxiv Link
- Counting loxodromics for hyperbolic actions.
With Ilya Gekhtman and Giulio Tiozzo.
Submitted, 2016. PDF. Arxiv Link
- The co-surface graph and the geometry of
hyperbolic free group extensions. With Spencer Dowdall.
J. Topol. 10 (2017) 447-482. PDF. Arxiv Link
- 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
- 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
- Contracting orbits in Outer space. With
Spencer Dowdall.
Submitted, 2015. PDF.
Arxiv Link
- 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
- 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
- Hyperbolic extensions of free groups. With
Spencer Dowdall.
Geom. Topol., to appear, 2014. PDF. Arxiv Link
- Small intersection numbers in the curve graph.
With Tarik Aougab.
Bull. London Math. Soc. 46 (2014), no. 5, 989-1002.
PDF. Arxiv Link
- Convex cocompactness and stability in mapping
class groups. With Matthew Durham.
Algebr. Geom. Topol. 15 (2015), no. 5, 2837-2857. PDF. Arxiv Link
- 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
- Right-angled Artin groups and Out(F_n) I:
quasi-isometric embeddings.
Groups Geom. Dyn. 9 (2015), no. 1, 275-316. PDF. Arxiv Link
- 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
- A note on subfactor projections.
Algebr. Geom. Topol. 14 (2014), no. 2, 805-821. PDF. Arxiv Link
- The Jones polynomial and boundary slopes of
alternating knots. With Cynthia Curtis.
J. Knot Theory Ramifications 20 (2011), no. 10,
1345-1354. Arxiv
Link
- The spiral index of knots. With Colin Adams
et al.
Math. Proc. Cambridge Philos. Soc. 149 (2010), no. 2,
297-315. Arxiv Link
Videos:
- The geometry of hyperbolic free group extensions.
Geometry Of Mapping Class
Groups And Out(Fn), MSRI, October 2016. Video.
- Counting loxodromics for hyperbolic actions.
Introductory
Workshop: Geometric Group Theory, MSRI, August 2016. Video.
- Veering triangulations and fibered faces of
3--manifolds.
Effective and
Algorithmic Methods in Hyperbolic Geometry and Free groups,
ICERM, May 2016. Video.
- Stability in mapping class groups and
right-angled Artin groups.
GEAR seminar, UIUC, April
2015. Video.