Johanna Mangahas
PhD
Associate Professor, Director of Undergraduate Studies
Research Interests
Geometric topology, geometric group theory.
Education
PhD, University of Michigan
Research Summary
Geometric topology, geometric group theory.
My research interests grow out of hyperbolic geometry and low-dimensional topology, and center on mapping class groups and methods of geometric group theory.
Selected Publications
The geometry of purely loxodromic subgroups of right-angled Artin groups. Download pdf, with Thomas Koberda and Samuel J. Taylor; (slides) Download pdf
An algorithm to detect full irreducibility by bounding the volume of periodic free factors. Download pdf, with Matt Clay and Alexandra Pettet; to appear in Michigan Mathematical Journal.
An effective algebraic detection of the Nielsen-Thurston classification of mapping classes. Download pdf, with Thomas Koberda; Journal of Topology and Analysis (2014).
Convex cocompactness in mapping class groups via quasiconvexity in right-angled Artin groups. Download pdf, with Samuel J. Taylor; submitted. (slides)Download pdf
A Recipe for Short-Word Pseudo-AnosovsDownload pdf, American Journal of Mathematics 135 (2013), no. 4. (slides) Download pdf
The Geometry of Right-Angled Artin Subgroups of Mapping Class Groups. Download pdf, with Matt Clay and Chris Leininger; Groups, Geometry, and Dynamics 6 (2012), no. 2.
Uniform Uniform Exponential Growth of the Mapping Class Group. Download pdf; Geometric and Functional Analysis19 (2010), no. 5. (slides)