Johanna Mangahas

Assistant Professor

Department of Mathematics

University at Buffalo

244 Mathematics Building

Buffalo, NY 14260

Office: 116 Mathematics Building

Phone: 716-645-8767

My work is supported by NSF Topology Grant DMS-1812021.

CV

### Papers

Hyperbolic quotients of projection complexes, with Matt Clay. To appear, *Groups, Geometry, and Dynamics.*

Right-angled Artin groups as normal subgroups of mapping class groups, with
Matt Clay and Dan Margalit. To appear, *Compositio Mathematica.*

The geometry of purely loxodromic subgroups of right-angled Artin groups, with Thomas Koberda and Samuel J. Taylor. * Transactions of the American Mathematical Society* 369 (2017), no 11. (slides)

An algorithm to detect full irreducibility by bounding the volume of periodic free factors, with Matt Clay and Alexandra Pettet. *Michigan Mathematical Journal.* 64 (2015), no. 1

An effective algebraic detection of the Nielsen-Thurston classification of mapping classes, with Thomas Koberda; *Journal of Topology and Analysis* 7 (2015), no. 1.

Convex cocompactness in mapping class groups via quasiconvexity in right-angled Artin groups, with Samuel J. Taylor. *
Proceedings of the London Mathematical Society* (3) 112 (2016), no 5. (slides)

A Recipe for Short-Word Pseudo-Anosovs, *American Journal of Mathematics *135 (2013), no. 4. (slides)

The Geometry of Right-Angled Artin Subgroups of Mapping Class Groups, with Matt Clay and Chris Leininger; *Groups, Geometry, and Dynamics *6 (2012), no. 2.

Uniform Uniform Exponential Growth of the Mapping Class Group; *Geometric and Functional Analysis* 19 (2010), no. 5. (slides)

### Other

The Cartoon Story of Why the Mapping Class Group is Finitely Generated by Dehn Twists; slides from a talk given at the Graduate Student Topology Conference at U. Chicago, April 2007. The proof follows the one in Benson Farb and Dan Margalit's Primer on Mapping Class Groups.

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