


Joseph
Maher Associate Professor Mathematics

Joseph Maher
Associate Professor Office
: Building 1S
Room 222 Phone
: 718.982.3623 Fax
: 718.982.3631 joseph.maher@csi.cuny.edu Visit my Website
 Degrees : PhD University of California, Santa Barbara BA Cambridge University
Biography / Academic Interests
: Joseph Maher is interested in geometric topology, particularly in the study of surfaces and threedimensional spaces, and random walks on groups. Other topics of interest include knots, hyperbolic geometry, and the collection of all maps from a surface to itself, which is known as the mapping class group of the surface. This group has interesting large scale geometry, and is closely related to the space of all hyperbolic metrics on a surface, known as Teichmüller space.
Scholarship / Publications
: Random walks on weakly hyperbolic groups, with Giulio Tiozzo, arXiv:1410.4173.
Random methods in 3manifold theory, with Alexander Lubotzky and Conan Wu, arXiv:1405.6410.
Word length statistics for Teichmüller geodesics and singularity of harmonic measure, with Vaibhav Gadre and Giulio Tiozzo, arXiv:1212.1481.
Exponential decay in the mapping class group, J. London Math. Soc. (2012) 86(2), 366386, arXiv:1104.5543, correction.
Statistics and compression of scl, with Danny Calegari, Ergodic Theory and Dynamical Systems, arXiv:1008.4952.
Asymptotics for pseudoAnosov elements in Teichmuller lattices, Geom. Funct. Anal. Vol. 20 (2010) 527544, arXiv:0901.2679.
Random Heegaard splittings, Journal of Topology (2010) 3 (4), 9971025, arXiv:0809.4881.
Linear progress in the complex of curves, Trans. Amer. Math. Soc. 362 (2010), 29632991, arXiv:0802.0467.
Random walks on the mapping class group, Duke Mathematical Journal, 156, Number 3 (2011), 429468, arXiv:math/0604433.
Heegaard gradient and virtual fibers, Geometry and Topology, Vol. 9 (2005), 22272259, arXiv:math/0411219.
Period three actions on lens spaces, Alg. and Geom. Topol., Vol 7. (2007), 20212102, arXiv:math/0311009.
Period three actions on the three sphere, with Hyam Rubinstein, Geometry and Topology, Vol. 7 (2003), 329397, arXiv:math/0204077.
Virtually embedded boundary slopes, Topology And Its Applications (95)1 (1999), 6374, arXiv:math/9901041.




