Research Interests
My research area is Teichmuller theory and mapping class groups. It has rich connections with a wide assortment of topics such as 2 and 3dimensional geometry and dynamics.
Papers

Dynamics of nonclassical interval exchanges,
Ergodic
Theory Dynam. Systems. 32 (2012), 6, 19301971. PDF

Harmonic measures for distributions with finite support
on the mapping class group are
singular, to appear in Duke. Math. J. PDF

Minimal pseudoAnosov translation lengths on the
complex
of curves, joint with Chiayen Tsai, Geom. Topol. 15 (2011) 12971312.
PDF

The limit set of the handlebody set has measure
zero, Appendix to Are large distance Heegaard splittings
generic? by Martin Lustig and Yoav Moriah, J. Reine. Angew. Math. 670
(2012), 117119.
PDF

Every transformation is disjoint from almost every
nonclassical exchange, joint with Jon Chaika, (2011), submitted. PDF

Word length statistics for Teichmuller geodesics and
singulartiy of harmonic measure, joint with Joseph Maher and Giulio
Tiozzo, (2012), http://arxiv.org/abs/1212.1481.
PDF

Lipschitz constants to curve complexes, joint with
Eriko
Hironaka, Richard Kent IV, Christopher Leininger, (2012), http://arxiv.org/abs/1212.4432
PDF