Benjamin Peirce Fellow
Department of Mathematics
Tel : (626) 376-3840
My research area is Teichmuller theory and mapping class groups. It has rich connections with a wide assortment of topics such as 2 and 3-dimensional geometry and dynamics.
Dynamics of non-classical interval exchanges,
Theory Dynam. Systems. 32 (2012), 6, 1930-1971. PDF
Harmonic measures for distributions with finite support
on the mapping class group are
singular, to appear in Duke. Math. J. PDF
Minimal pseudo-Anosov translation lengths on the
of curves, joint with Chia-yen Tsai, Geom. Topol. 15 (2011) 1297-1312.
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
Every transformation is disjoint from almost every
non-classical 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.
Lipschitz constants to curve complexes, joint with
Hironaka, Richard Kent IV, Christopher Leininger, (2012), http://arxiv.org/abs/1212.4432