Steven Frankel
208 Cupples I Department of Mathematics Washington University in St Louis steven.frankel@wustl.edu |

My CV is available here.

I am interested in geometric topology and dynamics, especially in combination: 3-manifolds, foliations, and hyperbolic geometry, quasigeodesic and pseudo-Anosov flows, partially hyperbolic diffeomorphisms, generalized pseudo-Anosov maps, groups acting on circles and trees, etc.

You can watch short talks about quasigeodesic flows here and here.

- Quasigeodesic flows and Mobius-like groups,

*J. Diff. Geom.***93**(2013), no. 3, 401-429

[PDF, arXiv] - Quasigeodesic flows from infinity,

*PhD thesis, University of Cambridge (2013)*

[PDF] - Quasigeodesic flows and sphere-filling curves,

*Geom. Topol.***19**(2015), no. 3, 1249-1262

[PDF, arXiv] - Coarse hyperbolicity and closed orbits for quasigeodesic flows,

*Ann. of Math. (2)***188**(2018), no. 1, 1-48

[PDF, arXiv] - Research announcement: Partially hyperbolic diffeomorphisms homotopic to the identity on 3-manifolds (with T. Barthelme, S. Fenley, and R. Potrie),

*2018 MATRIX Annals.*Eds. D.R. Wood, J. de Gier, C.E. Praeger, T. Tao. Springer International Publishing, 2020.

[PDF, arXiv] - Partially hyperbolic diffeomorphisms homotopic to the identity in dimension 3, Part I: The dynamically coherent case (with T. Barthelme, S. Fenley, and R. Potrie),

*submitted (2019)*

[arXiv] - Dynamical incoherence for a large class of partially hyperbolic diffeomorphisms (with T. Barthelme, S. Fenley, and R. Potrie),

*submitted (2020)*

[PDF, arXiv] - Partially hyperbolic diffeomorphisms homotopic to the identity in dimension 3, Part II: Branching foliations (with T. Barthelme, S. Fenley, and R. Potrie),

*submitted (2020)*

[arXiv] - From quasigeodesic to pseudo-Anosov flows,

*preprint available upon request*