## Johanna Mangahas

Brown University Mathematics Department

Office: 313 Kassar House

Phone: (401) 863-1137

Email: mangahas -at- math.brown.edu

I am a Tamarkin Assistant Professor of Mathematics at Brown. Starting July 2012, my work is also supported by an NSF Mathematical Sciences Research Postdoctoral Fellowship (DMS-1204592). My research interests grow out of hyperbolic geometry and low-dimensional topology, and center on mapping class groups and methods of geometric group theory.

Papers and notesAn algorithm to detect full irreducibility by bounding the volume of periodic free factors,

with Matt Clay and Alexandra Pettet.An effective algebraic detection of the Nielsen-Thurston classification of mapping classes,

with Thomas Koberda.Convex cocompactness in mapping class groups via quasiconvexity in right-angled Artin groups,

with Samuel J. Taylor. arxiv page and beamer presentationA Recipe for Short-Word Pseudo-Anosovs,

American Journal of Mathematics135 (2013), no. 4;

arxiv page (note: link above is more recent) and beamer presentationThe Geometry of Right-Angled Artin Subgroups of Mapping Class Groups,

with Matt Clay and Chris Leininger,

Groups, Geometry, and Dynamics6 (2012), no. 2;arxiv pageUniform Uniform Exponential Growth of the Mapping Class Group,

Geometric and Functional Analysis19 (2010), no. 5;

arxiv page and beamer presentationThe 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.

Seminar

Geometry and Topology Seminar @ Brown & Yale

(and Done At ICERM Some Years) Fall 2013Geometry and Topology Seminar @ Brown & Yale Spring 2013

Geometry and Topology Seminar @ Brown & Yale Spring 2012

Teaching

~~~My husband Cagatay Kutluhan is also a mathematician.