Samuel Taylor

Hello!

My name is Sam Taylor and I am an Associate Professor in the Mathematics Department at Temple University. Before coming to Temple, I was an NSF postdoctoral fellow and Gibbs Assistant Professor at Yale University. I received my PhD in mathematics from the University of Texas at Austin in 2014, where I was advised by Alan Reid.

My research interests include geometric topology, geometric group theory, and dynamics; especially hyperbolic 3-manifolds, pseudo-Anosov flows, mapping class groups, Out(F_n), hyperbolic groups, random walks, and various counting problems in groups. Below, you can find a list of my papers with links to the arXiv.

My email address is samuel.taylor@temple.edu.
My office is located at Wachman Hall 1028.

Ruth Meadow-Macleod

Brandis Whitfield

Papers / Preprints:

Endperiodic maps via pseudo-Anosov flows. With Michael Landry and Yair Minsky.
Preprint, 2023. PDF. Arxiv Link

Constructing endperiodic loxodromics of infinite-type arc graphs. With Priyam Patel.
Submitted, 2022. PDF. Arxiv Link

Equidistribution of hyperbolic groups in homogeneous spaces. With Ilya Gekhtman and Giulio Tiozzo.
Submitted, 2022. PDF. Arxiv Link

Orientable maps and polynomial invariants of free-by-cyclic groups. With Spencer Dowdall and Radhika Gupta.
Adv. Math., to appear, 2023. PDF. Arxiv Link

Subsurface distances for hyperbolic 3-manifolds fibering over the circle. With Yair Minsky.
Groups, Geom. Dyn., to appear, 2023. PDF. Arxiv Link

Flows, growth rates, and the veering polynomial. With Michael Landry and Yair Minsky.
Ergod. Theory Dyn. Syst., to appear, 2023. PDF. Arxiv Link

Central limit theorems for counting measures in coarse negative curvature. With Ilya Gekhtman and Giulio Tiozzo.
Compos. Math. 158 (2022), no. 10, 1980-2013. PDF. Arxiv Link

A polynomial invariant for veering triangulations. With Michael Landry and Yair Minsky.
J. Eur. Math. Soc. (JEMS), to appear, 2023. PDF. Arxiv Link

Weil--Petersson translation length and manifolds with many fibered fillings. With Chris Leininger, Yair Minsky, and Juan Souto.
Adv. Math. 376 (2021), 107457. PDF. Arxiv Link

Random trees in the boundary of Outer space. With Ilya Kapovich, Joseph Maher, and Catherine Pfaff.
Geom. Topol. 26 (2022), no. 1, 127-162 PDF. Arxiv Link

Covers of surfaces, Kleinian groups, and the curve complex. With Tarik Aougab and Priyam Patel.
J. Topol. 15 (2022), no. 4, 1833-1863. PDF. Arxiv Link

A central limit theorem for random closed geodesics: proof of the Chas--Li--Maskit conjecture. With Ilya Gekhtman and Giulio Tiozzo.
Adv. Math. 358 (2019), 106852. PDF. Arxiv Link

Random veering triangulations are not geometric. With David Futer and William Worden.
Groups, Geom. Dyn. 14 (2020), no. 3, 1077-1126. PDF. Arxiv Link

Random outer automorphisms of free groups: Attracting trees and their singularity structures. With Ilya Kapovich, Joseph Maher, and Catherine Pfaff.
Trans. Amer. Math. Soc. 375 (2022), no. 1, 525-557. PDF. Arxiv Link

Counting problems in graph products and relatively hyperbolic groups. With Ilya Gekhtman and Giulio Tiozzo.
Israel J. Math. 237 (2020), 311-371. PDF. Arxiv Link

Rank and Nielsen equivalence in hyperbolic extensions. With Spencer Dowdall.
Internat. J. Algebra Comput. 29 (2019), no. 4, 615-625. 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. 26 (2019), no. 1, 293-321. PDF. Arxiv Link

Intersection properties of stable subgroups and bounded cohomology. With Yago Antolin, Mahan Mj, and Alessandro Sisto.
Indiana Univ. Math. J. 68 (2019), 179-199. PDF. Arxiv Link

Pulling back stability with applications to Out(F_n) and relatively hyperbolic groups. With Tarik Aougab and Matthew Durham.
J. London Math. Soc. 96 (2017), no. 3, 565-583. PDF. Arxiv Link

Counting loxodromics for hyperbolic actions. With Ilya Gekhtman and Giulio Tiozzo.
J. Topol. 11 (2018), no. 2, 379-419. PDF. Arxiv Link

Fibered faces, veering triangulations, and the arc complex. With Yair Minsky.
Geom. Funct. Anal. 27 (2017), no. 6, 1450-1496. PDF. Arxiv Link

The co-surface graph and the geometry of hyperbolic free group extensions. With Spencer Dowdall.
J. Topol. 10 (2017), no. 2, 447-482. PDF. Arxiv Link

Pseudo-Anosovs optimizing the ratio of Teichmuller to curve graph translation length. With Tarik Aougab.
In the Tradition of Ahlfors--Bers, VII, Contemp. Math., Vol. 696 (2017), 17-28. 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.
Math. Z. 293 (2019) no.1-2, 767-787. 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

Hyperbolic extensions of free groups. With Spencer Dowdall.
Geom. Topol. 22 (2018), no. 1, 517-570. PDF. Arxiv Link

The geometry of purely loxodromic subgroups of right-angled Artin groups. With Thomas Koberda and Johanna Mangahas.
Trans. Amer. Math. Soc. 369 (2017), no. 11, 8179-8208. 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:

Endperiodic maps via pseudo-Anosov flows.
Geometry, Arithmetic, and Groups, UT Austin, June 2022. Video.

Random veering triangulations are not geometric.
Geometry of Teichmuller space and mapping class groups, Warwick EPSRC Symposium, April 2018. Video.

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.

The work shown here was partially supported by grants from the National Science Foundation and a fellowship from the Alfred P. Sloan Foundation. Any opinions, findings and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.