****Zhenqi Wang's Homepage**** **I'm an Associate professor at Michigan State University.** My research interests include: _**Dynamical Systems, Representation Theory, Ergodic Theory.**_ **Email: zwang@msu.edu** **Publications:** (21). Z Wang, Global periodic-data rigidity for irreducible toral automorphisms. Preprint. [pdf link](https://apps.math.msu.edu/PageSpace/pb/zwang/Home/periodic-data-rigidity2.pdf) (20). Z Wang, Multiple mixing and multiple fractional cohomological equation: semisimple setting. Submitted 2026. [pdf link](https://apps.math.msu.edu/PageSpace/pb/zwang/Home/mixing-semi.pdf) (19). Z Wang, Multiple Fractional Cohomological Equations and Quantitative Mixing on Nilmanifolds. Submitted 2026. [pdf link](https://apps.math.msu.edu/PageSpace/pb/zwang/Home/mixing-nil-2.pdf) (18). Z Wang, Kalinin B, Sadovskaya V. Global smooth rigidity for toral automorphisms. 2026 Invent. Math. [pdf link](https://apps.math.msu.edu/PageSpace/pb/zwang/Home/global) (17). Z Wang. Local rigidity of weak or no hyperbolicity algebraic actions. J of the American Mathematical Society, 2025 Volume 38, pp 1107-1191. [pdf link]( https://apps.math.msu.edu/PageSpace/pb/zwang/Home/parabolic.pdf) (16). Z Wang. Local rigidity of higher rank partially hyperbolic algebraic actions. submitted 2022. [pdf link](https://apps.math.msu.edu/PageSpace/pb/zwang/Home/Partiallyhyp.pdf) (15). (with V. Sadovskaya and B. Kalinin) Smooth local rigidity for hyperbolic toral automorphisms. Communications of the American Mathematical Society, Volume 3 (2023), 290-328 (14). (with V. Sadovskaya and B. Kalinin) Local rigidity for hyperbolic toral automorphisms. Mathematics Research Reports, Volume 3 (2022), 57-68 (13). D. Damjanovic, J. Tanis, Z Wang, On globally hypoelliptic abelian actions and their existence on homogeneous spaces, Discrete and Continuous Dynamical Systems, 2020. (12). James Tanis and Z Wang, Cohomological equation and cocycle rigidity of discrete parabolic actions, Discrete and Continuous Dynamical Systems, Vol. 39, No. 7, 2019 (11). Z Wang, The twisted cohomological equation over the geodesic flow, Discrete and Continuous Dynamical Systems, Vol. 39, No. 7, 2019 (10). James Tanis and Z Wang. Cohomological equation and cocycle rigidity of discrete parabolic actions in some higher rank Lie groups, Journal d’Analyse Math\'ematique , 2019. (9). K. Vinhage and Z Wang, Local Rigidity of Higher Rank Homogeneous Abelian Actions: a Complete Solution via the Geometric Method, Geometriae Dedicata, 2018 (8). Enhui Shi, Huyi Hu, Z Wang, Heisenberg group actions on compact manifolds and rigidity of center elements, Israel Journal of Mathematics, Volume 228, Issue 2, 2018, pp 933-972 (7). Z Wang, Cocycle rigidity of partially hyperbolic actions, Israel Journal of Mathematics, Volume 225, Issue 1, 2018, 147–191. (6). Z Wang, Local rigidity of higher rank non-abelian action on torus, Ergodic Theory and Dynamical Systems, 2017 (5). Z Wang, Cohomological equation and cocycle rigidity of parabolic actions in some higherrank Lie groups, Geom. and Funct. Analysis, Volume 25, Issue 6, (2015), 1956-2020. (4). Z Wang, Uniform pointwise bounds for Matrix coefficients of unitary representations on semidirect products, J. functional analysis, Volume 267, Issue 1, 2014, 15–79 (3). Z Wang, Local rigidity of partially hyperbolic actions, J. Modern Dyn. 4 (2010), 271–327. (2). Z Wang, New cases of differentiable rigidity for partially hyperbolic actions: symplectic groups and resonance directions, J. Modern Dyn. (2010), 4, 585–608. (1). W. Sun, Z Wang. Lyapunov exponents of hyperbolic measures and hyperbolic periodic orbits, Trans. Amer. Math., 362 (2010),4267-4282.