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YITWAH CHEUNG - Mathematics - San Francisco State University

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Department of <strong>Mathematics</strong><br />

<strong>San</strong> <strong>Francisco</strong> <strong>State</strong> <strong>University</strong><br />

<strong>San</strong> <strong>Francisco</strong>, CA 94132<br />

EDUCATION<br />

<strong>YITWAH</strong> <strong>CHEUNG</strong><br />

2000 Ph.D. in <strong>Mathematics</strong>, <strong>University</strong> of Illinois at Chicago<br />

Thesis Advisor: Howard Masur<br />

1997 M.S. in <strong>Mathematics</strong>, <strong>University</strong> of Illinois at Chicago<br />

Phone: (415) 338-1805<br />

Fax: (415) 338-1461<br />

E-mail: ycheung@sfsu.edu<br />

1995 B.S. in <strong>Mathematics</strong> and Physics, Massachusetts Institute of Technology<br />

PROFESSIONAL EXPERIENCE<br />

2010 <strong>San</strong> <strong>Francisco</strong> <strong>State</strong> <strong>University</strong>, Associate Professor<br />

2005 <strong>San</strong> <strong>Francisco</strong> <strong>State</strong> <strong>University</strong>, Assistant Professor<br />

2000 Northwestern <strong>University</strong>, Boas Visiting Assistant Professor<br />

1995 <strong>University</strong> of Illinois at Chicago, Teaching Assistant<br />

HONORS AND AWARDS<br />

NSF CAREER Award DMS-0956209 (Analysis), 2010-2015, $400,000.<br />

NSF Research Grant DMS-0701281 (Analysis), 2007-2010, $101,045.<br />

Mini Grant, <strong>San</strong> <strong>Francisco</strong> <strong>State</strong> <strong>University</strong>, 2006-07, $5,000.<br />

Mini Grant, <strong>San</strong> <strong>Francisco</strong> <strong>State</strong> <strong>University</strong>, 2005-06, $5,000.<br />

Liftoff Mathematician, Clay <strong>Mathematics</strong> Institute, 2000, $12,000.<br />

RESEARCH INTERESTS<br />

Ergodic theory, rational billiards, dynamics on Lie groups, Diophantine approximation<br />

SELECTED PUBLICATIONS<br />

1. Hausdorff dimension of the set of Singular Pairs, Annals of <strong>Mathematics</strong>, 173 (2011),<br />

127–167.


2. (with P. Hubert, H. Masur) Dichotomy for the Hausdorff dimension of the set of<br />

nonergodic directions, Inventiones, 183, (2011), 337–383.<br />

3. Hausdorff dimension of the set of points on divergent trajectories of a homogeneous<br />

flow on a product space Ergodic Theory and Dynamical Systems, 27 (2007), 65–85.<br />

4. Hausdorff dimension of the set of nonergodic directions, Annals of <strong>Mathematics</strong>, 158<br />

(2003), 661–678.<br />

SELECTED CONFERENCE TALKS<br />

• Workshop on Lattice Algorithmics, CIRM, Marseille, France, 2010<br />

• Dynamics and Geometry in Teichmuller space, CIRM, Marseille, France, 2009<br />

• Conference on Dynamics in Teichmuller space, Roscoff Biological Center, France,<br />

2008<br />

• Workshop on Low Complexity Dynamics, Banff International Research Station, Canada,<br />

2008<br />

• Workshop on Shrinking Target Properties, Clay <strong>Mathematics</strong> Institute, Cambridge,<br />

2008<br />

• Workshop on Kleinian Groups and Teichmüller theory, Mathematical Sciences Research<br />

Institute, Berkeley, 2007<br />

• Hyperbolic Structures on 3-manifolds and the large scale geometry of Teichmüller<br />

space, Warwick <strong>University</strong>, U.K., 2007.<br />

• Dynamics of Lie Group Actions on Parameter Spaces Ben Gurion <strong>University</strong>, Israel,<br />

2007.<br />

• Global Dynamics Beyond Uniform Hyperbolicity, Northwestern <strong>University</strong>, 2006.<br />

• Geometric Dynamics with Singularities, <strong>University</strong> of Exeter, UK, 2005.<br />

• Dynamics in Teichmüller Space And Applications to Rational Billiards <strong>University</strong> of<br />

Marseille II, France, 2003.<br />

• International Congress of Mathematicians Beijing, PRC, 2002.<br />

• EuroConference workshop on “Ergodic Theory, Riemannian Geometry and Number<br />

Theory” Isaac Newton Institute for Mathematical Sciences, Cambridge, United<br />

Kingdom, 2000.<br />

RECENT SEMINAR/COLLOQUIUM TALKS<br />

• North Carolina <strong>State</strong> <strong>University</strong>, Colloquium (January 2010)


• City College New York, Colloquium (March 2009)<br />

• Ohio <strong>State</strong> <strong>University</strong>, Dynamics seminar (February 2009)<br />

• <strong>University</strong> of Chicago, Geometry-Topology seminar (November 2008)<br />

• <strong>University</strong> of Illinois at Chicago, Dynamics seminar (November 2008)<br />

• Yale <strong>University</strong>, Dynamics seminar (November 2008)<br />

• <strong>University</strong> of Southern California, Dynamics seminar (October 2008)<br />

• <strong>University</strong> of Rennes, Ergodic theory seminar (June 2008)<br />

• Northwestern <strong>University</strong>, Dynamics seminar (April 2008)<br />

• Ben Gurion <strong>University</strong> of the Negev, Colloquium (April 2008)<br />

• Princeton <strong>University</strong>, Ergodic Theory Seminar (Feb 2008)<br />

• <strong>University</strong> of Illinois at Chicago, Dynamics Seminar (Dec 2007)<br />

• <strong>University</strong> of Texas at Austin, Dynamics Seminar (Nov 2007)<br />

• Pennsylvania <strong>State</strong> <strong>University</strong>, Dynamics Seminar (Nov 2007)<br />

• <strong>University</strong> of Marseille at Luminy, Dynamics Seminar (July 2007)<br />

• Institute of Mathematical Sciences (CUHK), Geometry Seminar (June 2007)<br />

MISCELLANEOUS<br />

• Co-organised a Special Session of the Americal Mathematical Society on Lie group<br />

actions, Teichmuller flows and Number Theory, Spring 2009<br />

• Academic Senate, member since Fall 2007<br />

• Mathematical Sciences and Research Institute, Member, Fall 2007<br />

• Organised graduate seminars at SFSU, Spring 2006 and 2007<br />

• Co-organised a Special Session of the Americal Mathematical Society on Geometric<br />

Dynamics and Ergodic Theory, Spring 2006<br />

• Organised Mini-Conference at SFSU, Spring 2006<br />

• Colloquium Director 2005-06<br />

• Served as referee for Dynamical Systems, Geometriae Dedicata, Geometry and Topology,<br />

Journal of Modern Dynamical Systems, Proceedings of the American Mathematical<br />

Society.

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