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.

I serve as an editor of Discrete and Continuous Dynamical Systems, Series A. The journal is committed to recording important new results in dynamical systems. To submit an article, please follow the instructions here.

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 M. Litman, Möbius disjointness for skew products on the Heisenberg nilmanifold

preprint

[abstract]

[pdf]


• with W. Huang and X. Ye, Measure complexity and Möbius disjointness

preprint

[abstract]

[pdf]


• 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]


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

Annals of Math. (2017)

[abstract]

[pdf]


• Möbius disjointness for analytic skew products

Inventiones Math. (2017)

[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Unpublished research:


• Möbius disjointness for non-uniquely ergodic skew products
  superseded by the article Measure complexity and Möbius disjointness (W.Huang, Z. Wang, X. Ye) above, permanent preprint

[abstract]

[pdf]


• Master's memoir , Rauzy diagrams in genus 1


[abstract]

[pdf]

Editorial boards


• Discrete and Continuous Dynamical Systems, Series A, 2017-

Grants


• NSF grant DMS-1501295, 2015-2018


• NSF grant DMS-1201453, 2012-2015


• AMS-Simons Travel Grant, 2011-2013

Teaching


Undergraduate courses


• MATH 312, Real Analysis, Spring 2017


• 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 508, Dynamical Systems II, Fall 2017


• 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

Organizing


Penn State Dynamical Systems Seminars, 2016-


28th Penn State Workshop in Dynamical Systems, Oct. 2017


MOU 2017 (Math Outing for Undergraduates), Apr. 2017


27th Penn State Workshop in Dynamical Systems, Oct. 2016


Special session on Smooth and Symbolic Ergodic Theory, AMS Eastern Sectional Meeting, Nov. 2015

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