Zhiren Wang 王之任 


Pennsylvania State Univ., Dept. of Mathematics 


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

Resume [CV] 


• Associate professor, Penn State Univ., 2019 


• Assistant professor, Penn State Univ., 20142019 


• Gibbs assistant professor, Yale Univ., 20112014 


• Ph.D. Princeton Univ. (Advisor: Prof. Elon Lindenstrauss), 20062011 


• M.Sc. Univ. ParisSud, 20052006 


• M.Sc. Ecole Polytechnique, 20042006 


• B.Sc. Fudan Univ., 20012004 

Research 


• with E. Lindenstrauss and A. Mohammadi, Polynomial effective equidistribution 
in preparation 


• with W. Huang, J. Wang and Q. Zhou, Quantitative almost reducibility and Möbius disjointness for analytic quasiperiodic Schrödinger cocycles 
submitted 


• with A. Brown and F. Rodriguez Hertz, Smooth ergodic theory of Z^{d}actions, Part 3: Product structure of entropy 
under revision 


• with A. Algom, Arbitrarily slow decay in the Möbius disjointness conjecture 
accepted, Ergodic Th. & Dyn. Sys. 


• with F. Rodriguez Hertz, Nonrigidity of partially hyperbolic abelian C^{1}actions on tori 
accepted, Ergodic Th. & Dyn. Sys. 


• with A. Brown and F. Rodriguez Hertz, Invariant measures and measurable projective factors for actions of higherrank lattices on manifolds 
Annals of Math. (2022) 


• with Y. Wang, Threestage evolution and fast equilibrium for SGD with nondegenerate critical points 
ICML (Int. Conf. Machine Learning) (2022) 


• with A. Brown and F. Rodriguez Hertz, The normal subgroup theorem through measure rigidity (expository book chapter) 
Dynamics, Geometry, Number Theory: The Impact of Margulis on Modern Mathematics (2022) 


• with A. Algom and F. Rodriguez Hertz, Logarithmic Fourier decay for selfconformal measures 
Journal of London Math. Soc. (2022) 


• with A. Algom and F. Rodriguez Hertz, Pointwise normality and Fourier decay for selfconformal measures 
Advances Math. (2021) 


• with X. He, Möbius disjointness along short intervals for nilsequences 
Trans. Amer. Math. Soc. (2021) 


• with F. Rodriguez Hertz, On εescaping trajectories in homogeneous spaces 
Disc. Cont. Dyn. Sys. 25 Years Special Vol. (2021) 


• with W. Huang and X. Ye, Measure complexity and Möbius disjointness 
Advances Math. (2019) 


• with M. Litman, Möbius disjointness for skew products on the Heisenberg nilmanifold 
Proc. Amer. Math. Soc. (2019) 


• with W. Huang and G. Zhang, Möbius disjointness for topological models of ergodic systems with discrete spectrum 
Journal of Modern Dynamics (2019) 


• Multiinvariant measures and subsets on nilmanifolds 
J. Analyse Math. (2018) 


• with A. Brown and F. Rodriguez Hertz, Global smooth and topological rigidity of hyperbolic lattice actions 
Annals of Math. (2017) 


• Möbius disjointness for analytic skew products 
Inventiones Math. (2017) 


• with F. Rodriguez Hertz, Global rigidity of higher rank Anosov algebraic actions 
Inventiones Math. (2014) 


• with U. Shapira, Remarks on Euclidean minima 
J. Number Theory (2012) 


• with E. Lindenstrauss, Topological selfjoinings of Cartan actions by toral automorphisms 
Duke Math. J. (2012) 


• Rigidity of commutative nonhyperbolic actions by toral automorphisms 
Ergodic Th. & Dyn. Sys. (2012) 


• Quantitative density under higher rank abelian algebraic toral actions 
Int. Math. Res. Notices (2011) 

Editorial boards 


• Discrete and Continuous Dynamical Systems, Series A, 2017 


• Journal of Modern Dynamics, 2020 

Awards and Grants 


• Brin Prize in Dynamical Systems, 2022 


• von Neumann Fellow, Institute for Advanced Study, 2022 


• NSF CAREER grant DMS1753042, 20182023 


• NSF grant DMS1501295, 20152018 


• NSF grant DMS1201453, 20122015 


• AMSSimons Travel Grant, 20112013 

Teaching 


Undergraduate courses 


• MATH 250, Ordinary Differential Equations, Fall 2021 


• MATH 250, Ordinary Differential Equations, Fall 2020 


• MATH 403, Analysis, Fall 2019 


• MATH 312, Real Analysis, Spring 2019 


• MATH 403, Analysis, Fall 2018 


• MATH 412, Fourier series and partial differential equations, Spring 2018 


• 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 597, Dynamical Systems on Nilmanifolds, Fall 2018 


• 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 


• Global rigidity and classification of actions by higher rank groups, AIM workshop, 2022 


• MOU 2021 (Math Online workshop for Undergraduates), 2021  



• Penn State Dynamical Systems Seminars, 20162018 








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