Email: yitwah@tsinghua.edu.cn

个人主页:http://ymsc.tsinghua.edu.cn/cn/content/show/168-135.html

 

教育背景

博士(伊利诺伊州立大学芝加哥分校,2000年)、教授(博导)

工作履历

2018.10-现在,清华大学丘成桐数学中心/数学系,教授

2015.09-2018.08,旧金山州立大学,教授/2018.01副系主任

2010.09-2015.08,旧金山州立大学,副教授

2005.09-2010.08,旧金山州立大学,助理教授

2000.09-2005.08,西北大学,助理教授

 

研究领域

遍历论、动力系统

 

奖励与荣誉

2016年-2019年 NSF Research Grant DMS-1600476 (Analysis)

2010年-2016年 NSF CAREER Award DMS-0956209 (Analysis)

2007年-2010年 NSF Research Grant DMS-0701281 (Analysis)

2000年 Liftoff Mathematician, Clay Mathematics Institute

 

学术成果

[1] Hausdorff dimension of the set of nonergodic directions, Annals of Mathematics 158 (2003), 661–678.

[2] Hausdorff dimension of the set of points on divergent trajectories of a homogeneous flow on a product space Ergodic Theory and Dynamical Systems 27 (2007), 65–85.

[3] Hausdorff dimension of the set of Singular Pairs, Annals of Mathematics, 173, (2011), 127–167.

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

[5] (with J. Chaika, H. Masur) Winning games for bounded geodesics in Teichmuller discs, Journal of Modern Dynamics, 7, (2013), 395–427.

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

[7] (with N. Chevallier) Hausdorff dimension of singular vectors, Duke Mathematical Journal, 165, (2016), 2273–2329.

[8](with,Y. Bugeaud, N. Chevallier) Hausdorff dimension and uniform exponents in dimension two, Math. Proc. Camb. Phil. Soc., (2018), Cambridge University Press, DOI:10.1017/s0305004118000312

[9] (with H. Masur, J.Athreya) Siegel-Veech transforms are in L2, Journal of Modern Dynamics, accepted (Nov.2018)

[10](with N. Chevallier) Levi’s constant for simultaneous approximation, submitted