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 notes
An 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 presentation
A Recipe for Short-Word Pseudo-Anosovs,
American Journal of Mathematics 135 (2013), no. 4;
arxiv page (note: link above is more recent) and beamer presentation
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; arxiv page
Uniform Uniform Exponential Growth of the Mapping Class Group,
Geometric and Functional Analysis 19 (2010), no. 5;
arxiv page and beamer presentation
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.
Geometry and Topology Seminar @ Brown & Yale
(and Done At ICERM Some Years) Fall 2013
Geometry and Topology Seminar @ Brown & Yale Spring 2013
Geometry and Topology Seminar @ Brown & Yale Spring 2012
Math 101 Spring 2012
Math 126 Fall 2011
Math 17 Fall 2011
Math 18 Spring 2011
Math 17 Fall 2010
Math 54 Fall 2010
My husband Cagatay Kutluhan is also a mathematician.