Zhiren Wang 王之任
Zhiren Wang 王之任
zhirenw(AT)jhu.edu
I am a mathematician. My research interests include homogeneous dynamical systems, classification of group actions, number theory, and machine learning.
zhirenw(AT)jhu.edu
I am a mathematician. My research interests include homogeneous dynamical systems, classification of group actions, number theory, and machine learning.
Professor, Johns Hopkins Univ., 2025
Professor, Penn State Univ., 2023-2024
Associate professor, Penn State Univ., 2019-2023
Assistant professor, Penn State Univ., 2014-2019
Gibbs assistant professor, Yale Univ., 2011-2014
Ph.D. Princeton Univ. (Advisor: Prof. Elon Lindenstrauss), 2006-2011
M.Sc. Univ. Paris-Sud, 2005-2006
M.Sc. Ecole Polytechnique, 2004-2006
B.Sc. Fudan Univ., 2001-2004
• with A. Algom and F. Rodriguez Hertz, Polynomial Fourier decay and a cocycle version of Dolgopyat's method for self conformal measures
submitted [pdf]
• with E. Lindenstrauss, A. Mohammadi and L. Yang, An effective version of the Oppenheim conjecture with a polynomial error rate
research announcement [pdf]
• with E. Lindenstrauss and A. Mohammadi, Effective equidistribution for some one parameter unipotent flows
submitted [pdf] announcement appeared in Comptes Rendus Math. (2023) [announcement]
• with Y. Wang, CW complex hypothesis for image data
ICML (Int. Conf. Machine Learning) (2024) [pdf]
• with Z. Li and Y. Wang, Fast equilibrium of SGD in generic situations
ICLR (Int. Conf. Learning Representations) (2024) [pdf]
• with A. Algom, Arbitrarily slow decay in the logarithmically averaged Sarnak conjecture
J. Math. Anal. & Appl. (2024) [pdf]
• with F. Rodriguez Hertz, Non-rigidity of partially hyperbolic abelian C1-actions on tori
Ergodic Th. & Dyn. Sys. (2024) [pdf]
• with A. Algom, Arbitrarily slow decay in the Möbius disjointness conjecture
Ergodic Th. & Dyn. Sys. (2023) [pdf]
• with W. Huang, J. Wang and Q. Zhou, Quantitative almost reducibility and Möbius disjointness for analytic quasiperiodic Schrödinger cocycles
Peking Journal of Mathematics (2023) [pdf]
• with E. Lindenstrauss and A. Mohammadi, Quantitative equidistribution and the local statistics of the spectrum of a flat torus
Journal d'Analyse Mathématique (2023) [pdf]
• with A. Brown and F. Rodriguez Hertz, Smooth ergodic theory of Zd-actions, Part 3: Product structure of entropy
Journal of Modern Dynamics (2023) [pdf]
• 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) [pdf]
• with Y. Wang, Three-stage evolution and fast equilibrium for SGD with non-degenerate critical points
ICML (Int. Conf. Machine Learning) (2022) [pdf]
• 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) [pdf]
• with A. Algom and F. Rodriguez Hertz, Logarithmic Fourier decay for self-conformal measures
Journal of London Math. Soc. (2022) [pdf]
• with A. Algom and F. Rodriguez Hertz, Pointwise normality and Fourier decay for self-conformal measures
Advances Math. (2021) [pdf]
• with X. He, Möbius disjointness along short intervals for nilsequences
Trans. Amer. Math. Soc. (2021) [pdf]
• with F. Rodriguez Hertz, On ε-escaping trajectories in homogeneous spaces
Disc. Cont. Dyn. Sys. 25 Years Special Vol. (2021) [pdf]
• with W. Huang and X. Ye, Measure complexity and Möbius disjointness
Advances Math. (2019) [pdf]
• with M. Litman, Möbius disjointness for skew products on the Heisenberg nilmanifold
Proc. Amer. Math. Soc. (2019) [pdf]
• with W. Huang and G. Zhang, Möbius disjointness for topological models of ergodic systems with discrete spectrum
Journal of Modern Dynamics (2019) [pdf]
• Multi-invariant measures and subsets on nilmanifolds
J. Analyse Math. (2018) [pdf]
• with A. Brown and F. Rodriguez Hertz, Global smooth and topological rigidity of hyperbolic lattice actions
Annals of Math. (2017) [pdf]
• Möbius disjointness for analytic skew products
Inventiones Math. (2017) [pdf]
• with F. Rodriguez Hertz, Global rigidity of higher rank Anosov algebraic actions
Inventiones Math. (2014) [pdf]
• with U. Shapira, Remarks on Euclidean minima
J. Number Theory (2012) [pdf]
• with E. Lindenstrauss, Topological self-joinings of Cartan actions by toral automorphisms
Duke Math. J. (2012) [pdf]
• Rigidity of commutative non-hyperbolic actions by toral automorphisms
Ergodic Th. & Dyn. Sys. (2012) [pdf]
• Quantitative density under higher rank abelian algebraic toral actions
Int. Math. Res. Notices (2011) [pdf]
Brin Prize in dynamical systems, 2022
Von Neummann Fellowship, Institute for Advanced Study, 2022-2023
NSF CAREER Grant, 2018-2023
Gold Prize for Ph.D. Thesis, International Congress of Chinese Mathematicians, 2012