Zhiren Wang 王之任 |
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Pennsylvania State Univ., Dept. of Mathematics |
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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. |
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Resume [CV] |
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• Associate professor, Penn State Univ., 2019- |
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• Assistant professor, Penn State Univ., 2014-2019 |
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• Gibbs assistant professor, Yale Univ., 2011-2014 |
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• Ph.D. Princeton Univ. (Advisor: Prof. Elon Lindenstrauss), 2006-2011 |
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• M.Sc. Univ. Paris-Sud, 2005-2006 |
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• M.Sc. Ecole Polytechnique, 2004-2006 |
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• B.Sc. Fudan Univ., 2001-2004 |
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Research |
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• with E. Lindenstrauss and A. Mohammadi, Polynomial effective equidistribution |
in preparation |
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• with W. Huang, J. Wang and Q. Zhou, Quantitative almost reducibility and Möbius disjointness for analytic quasiperiodic Schrödinger cocycles |
submitted |
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• with A. Brown and F. Rodriguez Hertz, Smooth ergodic theory of Zd-actions, Part 3: Product structure of entropy |
under revision |
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• with A. Algom, Arbitrarily slow decay in the Möbius disjointness conjecture |
accepted, Ergodic Th. & Dyn. Sys. |
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• with F. Rodriguez Hertz, Non-rigidity of partially hyperbolic abelian C1-actions on tori |
accepted, Ergodic Th. & Dyn. Sys. |
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• with A. Brown and F. Rodriguez Hertz, Invariant measures and measurable projective factors for actions of higher-rank lattices on manifolds |
Annals of Math. (2022) |
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• with Y. Wang, Three-stage evolution and fast equilibrium for SGD with non-degenerate critical points |
ICML (Int. Conf. Machine Learning) (2022) |
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• 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) |
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• with A. Algom and F. Rodriguez Hertz, Logarithmic Fourier decay for self-conformal measures |
Journal of London Math. Soc. (2022) |
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• with A. Algom and F. Rodriguez Hertz, Pointwise normality and Fourier decay for self-conformal measures |
Advances Math. (2021) |
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• with X. He, Möbius disjointness along short intervals for nilsequences |
Trans. Amer. Math. Soc. (2021) |
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• with F. Rodriguez Hertz, On ε-escaping trajectories in homogeneous spaces |
Disc. Cont. Dyn. Sys. 25 Years Special Vol. (2021) |
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• with W. Huang and X. Ye, Measure complexity and Möbius disjointness |
Advances Math. (2019) |
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• with M. Litman, Möbius disjointness for skew products on the Heisenberg nilmanifold |
Proc. Amer. Math. Soc. (2019) |
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• with W. Huang and G. Zhang, Möbius disjointness for topological models of ergodic systems with discrete spectrum |
Journal of Modern Dynamics (2019) |
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• Multi-invariant measures and subsets on nilmanifolds |
J. Analyse Math. (2018) |
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• with A. Brown and F. Rodriguez Hertz, Global smooth and topological rigidity of hyperbolic lattice actions |
Annals of Math. (2017) |
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• Möbius disjointness for analytic skew products |
Inventiones Math. (2017) |
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• with F. Rodriguez Hertz, Global rigidity of higher rank Anosov algebraic actions |
Inventiones Math. (2014) |
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• with U. Shapira, Remarks on Euclidean minima |
J. Number Theory (2012) |
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• with E. Lindenstrauss, Topological self-joinings of Cartan actions by toral automorphisms |
Duke Math. J. (2012) |
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• Rigidity of commutative non-hyperbolic actions by toral automorphisms |
Ergodic Th. & Dyn. Sys. (2012) |
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• Quantitative density under higher rank abelian algebraic toral actions |
Int. Math. Res. Notices (2011) |
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Editorial boards |
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• Discrete and Continuous Dynamical Systems, Series A, 2017- |
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• Journal of Modern Dynamics, 2020- |
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Awards and Grants |
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• Brin Prize in Dynamical Systems, 2022 |
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• von Neumann Fellow, Institute for Advanced Study, 2022 |
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• NSF CAREER grant DMS-1753042, 2018-2023 |
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• NSF grant DMS-1501295, 2015-2018 |
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• NSF grant DMS-1201453, 2012-2015 |
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• AMS-Simons Travel Grant, 2011-2013 |
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Teaching |
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Undergraduate courses |
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• MATH 250, Ordinary Differential Equations, Fall 2021 |
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• MATH 250, Ordinary Differential Equations, Fall 2020 |
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• MATH 403, Analysis, Fall 2019 |
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• MATH 312, Real Analysis, Spring 2019 |
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• MATH 403, Analysis, Fall 2018 |
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• MATH 412, Fourier series and partial differential equations, Spring 2018 |
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• MATH 312, Real Analysis, Spring 2017 |
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• MATH 421, Complex Analysis, Fall 2016 |
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• MATH 250, Ordinary Differential Equations, Fall 2014 |
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• MATH 120, Multivariable Calculus, Fall 2013 |
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• MATH 115, Calculus: Integration, Fall 2012 |
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• MATH 246, Ordinary Differential Equations, Spring 2012 |
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Problem sessions, MAT 317, Complex
Analysis, Fall 2009 |
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• MAT 102, Calculus, Spring 2009 |
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Graduate courses |
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• MATH 597, Dynamical Systems on Nilmanifolds, Fall 2018 |
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• MATH 508, Dynamical Systems II, Fall 2017 |
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• MATH 616, Smooth ergodic theory, Spring 2014 |
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• MATH 614, Diagonal Actions on Homogeneous Spaces, Spring 2013 |
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• MATH 628, Random Walks on Homogeneous Spaces, Spring 2012 |
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Organizing |
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• Global rigidity and classification of actions by higher rank groups, AIM workshop, 2022 |
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• MOU 2021 (Math Online workshop for Undergraduates), 2021 | |||
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• Penn State Dynamical Systems Seminars, 2016-2018 |
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• Special session on Smooth and Symbolic Ergodic Theory, AMS Eastern Sectional Meeting, 2015 |