Yitwah Cheung


Yau Mathematical Science Center, Tsinghua University

Office: Jingzhai 220


Personal web page

Research Field

Dynamics on Moduli spaces, Ergodic Theory, Diophantine Approximation

Educational Background

1991-1995 Massachusetts Institute of Technology, BA

1995-2000 University of Illinois at Chicago, MA, PhD

Work Experience

2018-present Professor                    Tsinghua University, YMSC

2015-2018    Professor                     San Francisco State University

2010-2015    Associate Professor     San Francisco State University   

2005-2010    Assistant Professor      San Francisco State University

2000-2005    Assistant Professor      Northwestern University

Honors & Awards

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

Selected Publications

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

A Poincare section for the horocycle flow on the space of lattices (with J. Athreya) International Mathematics Research Notices, 2014 no. 10 (2014), 2643--2690.

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

Hausdorff dimension of the set of Singular Pairs Annals of Mathematics, 173 (2011), 127--167.

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

Hausdorff dimension of the set of nonergodic directions Annals of Mathematics, 158 (2003), 661--678.