Biography
Research Interests
Geometric topology, geometric group theory, and dynamics: hyperbolic 3-manifolds, mapping class
groups, Out(Fn), right-angled Artin groups, hyperbolic groups, random walks, counting problems.
Courses Taught
Number | Name | Level |
|---|---|---|
MATH 1041 | Calculus I | Undergraduate |
MATH 4061 | Differential Geometry | Undergraduate |
MATH 9073 | Geometric Group Theory | Graduate |
Selected Publications
Recent
Leininger, C., Minsky, Y., Souto, J., & Taylor, S. (2021). Weil–Petersson translation length and manifolds with many fibered fillings. Advances in Mathematics, 376. doi: 10.1016/j.aim.2020.107457.
Futer, D., Taylor, S., & Worden, W. (2020). Random veering triangulations are not geometric. Groups, Geometry, and Dynamics, 14(3), 1077-1126. doi: 10.4171/GGD/575.
Gekhtman, I., Taylor, S., & Tiozzo, G. (2020). Counting problems in graph products and relatively hyperbolic groups. Israel Journal of Mathematics, 237(1), 311-371. doi: 10.1007/s11856-020-2008-x.
Gekhtman, I., Taylor, S., & Tiozzo, G. (2019). A central limit theorem for random closed geodesics: Proof of the Chas–Li–Maskit conjecture. Advances in Mathematics, 358. doi: 10.1016/j.aim.2019.106852.
Dowdall, S. & Taylor, S. (2019). Contracting orbits in Outer space. Mathematische Zeitschrift, 293(1-2), 767-787. doi: 10.1007/s00209-019-02227-7.
Dowdall, S. & Taylor, S. (2019). Rank and Nielsen equivalence in hyperbolic extensions. International Journal of Algebra and Computation, 29(4), 615-625. doi: 10.1142/S0218196719500176.
Antolín, Y., Mahan, M., Sisto, A., & Taylor, S. (2019). Intersection properties of stable subgroups and bounded cohomology. Indiana University Mathematics Journal, 68(1), 179-199. doi: 10.1512/iumj.2019.68.7592.
Sisto, A. & Taylor, S. (2019). Largest projections for random walks and shortest curves in random mapping tori. Mathematical Research Letters, 26(1), 293-321. doi: 10.4310/MRL.2019.v26.n1.a14.
Dowdall, S. & Taylor, S. (2018). Hyperbolic extensions of free groups. Geometry and Topology, 22(1), 517-570. doi: 10.2140/gt.2018.22.517.
Gekhtman, I., Taylor, S., & Tiozzo, G. (2018). Counting loxodromics for hyperbolic actions. Journal of Topology, 11(2), 379-419. doi: 10.1112/topo.12053.
Futer, D., Taylor, S., & Worden, W. (2022). Random veering triangulations are not geometric. ArXiv Preprint ArXiv:1808.05586.
Kapovich, I., Maher, J., Pfaff, C., & Taylor, S. (2022). Random outer automorphisms of free groups: Attracting trees and their singularity structures. ArXiv Preprint ArXiv:1805.12382.
Minsky, Y. & Taylor, S. (2017). Fibered faces, veering triangulations, and the arc complex. Geometric and Functional Analysis, 27(6), 1450-1496. doi: 10.1007/s00039-017-0430-y.
Aougab, T., Durham, M., & Taylor, S. (2017). Pulling back stability with applications to Out (F n) and relatively hyperbolic groups:. Journal of the London Mathematical Society, 96(3), 565-583. doi: 10.1112/jlms.12071.
Dowdall, S. & Taylor, S. (2017). The co-surface graph and the geometry of hyperbolic free group extensions. Journal of Topology, 10(2), 447-482. doi: 10.1112/topo.12013.
Koberda, T., Mangahas, J., & Taylor, S. (2017). The geometry of purely loxodromic subgroups of right-angled artin groups. Transactions of the American Mathematical Society, 369(11), 8179-8208. doi: 10.1090/tran/6933.
Aougab, T. & Taylor, S. (2017). Pseudo-anosovs optimizing the ratio of teichmüller to curve graph translation length. In Contemporary Mathematics, 696 (pp. 17-28). doi: 10.1090/conm/696/14014.
Aougab, T., Taylor, S., & Webb, R. (2022). Effective Masur–Minsky distance formulas and applications to hyperbolic 3–manifolds. Preprint.