Zhiren Wang's homepage


Pennsylvania State Univ., Dept. of Mathematics
308 McAllister Building, University Park, PA 16802

zhirenw(AT)psu.edu

I am an assistant professor in the Department of Mathematics at Pennsylvania State University. My research interests include homogeneous dynamical systems, classification of group actions, and number theory.

Research


Publications and Preprints:


• with M. Einsiedler and E. Lindenstrauss, Rigidity properties of abelian actions on tori and solenoids

in preparation




• with E. Lindenstrauss, × 2, × 3, × 5 -invariant sets on T2

in preparation

[abstract]


• with A. Brown and F. Rodriguez Hertz, Invariant measures and measurable projective factors for actions of higher-rank lattices on manifolds

submitted

[abstract]

[pdf]


• with A. Brown and F. Rodriguez Hertz, Smooth ergodic theory of Zd-actions, Part 3: Product structure of entropy

submitted

[abstract]

[pdf]


• with W. Huang and G. Zhang, Möbius disjointness for topological models of ergodic systems with discrete spectrum

submitted

[abstract]

[pdf]


• Möbius disjointness for non-uniquely ergodic skew products

submitted

[abstract]

[pdf]


• with A. Brown and F. Rodriguez Hertz, Global smooth and topological rigidity of hyperbolic lattice actions

Annals of Math., to appear

[abstract]

[pdf]


• Möbius disjointness for analytic skew products

Inventiones Math., to appear

[abstract]

[pdf]


• Multi-invariant measures and subsets on nilmanifolds

J. Analyse Math., to appear

[abstract]

[pdf]


• with F. Rodriguez Hertz, Global rigidity of higher rank Anosov algebraic actions

Inventiones Math. (2014),

[abstract]

[pdf]


• with U. Shapira, Remarks on Euclidean minima

J. Number Theory (2012)

[abstract]

[pdf]


• with E. Lindenstrauss, Topological self-joinings of Cartan actions by toral automorphisms

Duke Math. J. (2012)

[abstract]

[pdf]


• Rigidity of commutative non-hyperbolic actions by toral automorphisms

Ergodic Th. & Dyn. Sys. (2012)

[abstract]

[pdf]


Quantitative density under higher rank abelian algebraic toral actions

Int. Math. Res. Notices (2011)

[abstract]

[pdf]


Unpublished research:


• Master's memoir , Rauzy diagrams in genus 1


[abstract]

[pdf]

Grants


• NSF grant DMS-1501295, 2015-2018


• NSF grant DMS-1201453, 2012-2015


• AMS-Simons Travel Grant, 2011-2013

Teaching


Undergraduate courses


• MATH 421, Complex Analysis, Fall 2016


• MATH 250, Ordinary Differential Equations, Fall 2014


• MATH 120, Multivariable Calculus, Fall 2013


• MATH 115, Calculus: Integration, Fall 2012


• MATH 246, Ordinary Differential Equations, Spring 2012


• Problem sessions, MAT 317, Complex Analysis, Fall 2009


• MAT 102, Calculus, Spring 2009


Graduate courses


• MATH 616, Smooth ergodic theory, Spring 2014


• MATH 614, Diagonal Actions on Homogeneous Spaces, Spring 2013


• MATH 628, Random Walks on Homogeneous Spaces, Spring 2012

Resume
[Curriculum Vitae]


• Assistant professor, Penn State Univ., 2014-


• Gibbs assistant professor, Yale Univ., 2011-2014


• Ph.D. Princeton Univ., 2006-2011


• M.Sc. Univ. Paris-Sud, 2005-2006


• M.Sc. Ecole Polytechnique, 2004-2006


• B.Sc. Fudan Univ., 2001-2004