Research Areas

2016-2019 NSF Research Grant DMS-1600476 (Analysis)
2010-2016 NSF CAREER Award DMS-0956209 (Analysis)
2007-2010 NSF Research Grant DMS-0701281 (Analysis)
2000 Liftoff Mathematician, Clay Mathematics Institute                    

Publications

Winning games for bounded geodesics in Teichmuller discs
(with J. Chaika and H. Masur) J. Mod. Dyn. 7 (2013), 395--427.

Dichotomy for the Hausdorff dimension of the set of nonergodic directions
(with P. Hubert and H. Masur) Invent. Math., 183 (2011), 337--383.

Unique Ergodicity of Translation Flows
(with A. Eskin) Fields Inst. Comm., 51 (2007), 213--222.

<p white-space:normal;" style="margin-top:0px;margin-bottom:0px;padding:0px;line-height:32px;font-size:16px"> Hausdorff dimension of the set of nonergodic directions
Ann. Math.,  158 (2003), 661--678.