Email address: rasmussen at math dot utah dot edu
I am interested in geometric group theory and low-dimensional topology. I am particularly interested in the following topics: - infinite type surfaces (analogs of the curve graph for infinite type surfaces, laminations on infinite type surfaces),
- classifying and comparing the actions of a fixed group on different hyperbolic metric spaces,
- relative hyperbolicity and other generalizations of hyperbolicity for groups and metric spaces.
- Laminations and 2-filling rays on infinite type surfaces. With Lvzhou Chen. Preprint, 2020.
- Largest hyperbolic actions and quasi-parabolic actions in groups. With Carolyn Abbott. Preprint, 2019. Submitted.
- Geometry of the graphs of nonseparating curves: covers and boundaries. Preprint, 2019. To appear in
*Geometriae Dedicata*. - WWPD elements of big mapping class groups. Preprint, 2019. To appear in
*Groups, Geometry, and Dynamics*. - Actions of solvable Baumslag-Solitar groups on hyperbolic metric spaces. With Carolyn Abbott. Preprint, 2019. Submitted.
- Uniform hyperbolicity of the graphs of nonseparating curves via bicorn curves.
*Proceedings of the American Mathematical Society,*148: 2345-2357, 2020. - Specializations of generalized Rikuna polynomials. With Celeste Cass, John Cullinan, and Darko Trifunovski.
*International Journal of Number Theory*, 10:585-600, 2014.
Non-math interests: playing music (guitar and banjo), reading, tabletop games. |