Yitwah Cheung's Homepage
 

 
Contact Information
 
  Office: Thorton Hall, Room 950
 
  Phone: (415) 338-1805
 
  Email: ycheung - AT - sfsu - DOT - edu
 

 
Teaching
 
 
  • I am teaching MATH 228 Calculus III and MATH 310 Elementary Number Theory this semester.
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    Curriculum Vitae
     
     
  • Here is a short cv.
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    Preprints
     
     
  • Hausdorff dimension and uniform exponents in dimension two (with Y. Bugeaud and N. Chevallier) submitted
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  • Limit set of a divergent trajectory (with B. Weiss) in preparation
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  • Slow Divergence and Unique Ergodicity (with A. Eskin) arXiv:0711.0240v1., preprint

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    Papers
     
     
  • Hausdorff dimension of singular vectors
    (with N. Chevallier) Duke Math. J., 165 (2016), 2273--2329.
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  • Winning games for bounded geodesics in Teichmuller discs
    (with J. Chaika and H. Masur) J. Mod. Dyn. 7 (2013), 395--427.
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  • A Poincare section for the horocycle flow on the space of lattices
    (with J. Athreya) Int. Math. Res. Not., 2014 no. 10 (2014), 2643--2690.
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  • Piecewise Isometries, Uniform Distribution and 3 log 2 - π2/8
    (with A. Goetz and A. Quas) Erg. Th. Dyn. Sys., 32 (2012), 1862--1888.
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  • Dichotomy for the Hausdorff dimension of the set of nonergodic directions
    (with P. Hubert and H. Masur) Invent. Math., 183 (2011), 337--383.
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  • Hausdorff dimension of the set of Singular Pairs
    Ann. Math., 173 (2011), 127--167.
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  • Topological Dichotomy and Strict Ergodicity for Translation Surfaces
    (with P. Hubert and H. Masur) Erg. Th. Dyn. Sys., 28 (2008), 1729--1748.
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  • Unique Ergodicity of Translation Flows
    (with A. Eskin) Fields Inst. Comm., 51 (2007), 213--222.
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  • Hausdorff dimension of the set of points on divergent trajectories of a homogeneous flow on a product space
    Erg. Th. Dyn. Sys., 27 (2007), 65--85.
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  • Minimal nonergodic directions on genus 2 translation surfaces
    (with H. Masur) Erg. Th. Dyn. Sys., 26 (2006), 341--351.
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  • A divergent Teichmuller geodesic with uniquely ergodic vertical foliation
    (with H. Masur) Israel J. Math., 152 (2006), 1--15.
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  • Slowly divergent geodesics in moduli space
    Conf. Geom. Dyn., 8 (2004), 167--189.
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  • Hausdorff dimension of the set of nonergodic directions
    Ann. Math., 158 (2003), 661--678.

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    Student Projects
     
     
  • Wyndham Galbraith Hausdorff dimension of a generalized Moran set (SFSU MA Thesis, 2016)
  • Therese Landry Multi-dimensional Continued Fractions, Tiling Problem and Roots of Unity (SFSU MA Thesis, 2015)
  • Lucy Odom Overlapping Criterion for Tiling Problem of the Littlewood Conjecture (SFSU MA Thesis, 2015)
  • Matthew Staley Models for Hyperbolic Geometry (SFSU Expository Paper, 2015)
  • Seraphine Xieu Levy's constant (SFSU Applied Mathematics Project, 2015)
  • Cyrous Ahmadieh Limits of Functions on Trees (SFSU MA Thesis, 2014)
  • Joseph Squillace Estimating fractal dimension of a set of nonergodic parameters (SFSU MA Thesis, 2014)
  • Samantha Lui Tiling Problem for Littlewood Conjecture (SFSU MA Thesis, 2014)
  • Nicolay Postarnakevich Exploring Domains of Approximation (SFSU Expository Paper, 2013)
  • Deborah Damon Invariants of Lattices of Approximation (SFSU MA Thesis, 2011)
  • Bita Nosratieh Convexity of Domains of Approximation (SFSU MA Thesis, 2010)
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      Last updated: October 12, 2015