Jonathan DeWitt

I am an NSF postdoc at the University of Maryland specializing in dynamics. I earned my PhD under the supervision of Amie Wilkinson and Aaron Brown.

Papers

  1. Local Lyapunov spectrum rigidity of nilmanifold automorphisms
    Journal of Modern Dynamics 17 (2021): 65–109. [arXiv] [DOI]
  2. Simultaneous linearization of diffeomorphisms of isotropic manifolds
    JEMS 26 (2024) no. 8: 2897–2969. [arXiv] [DOI]
  3. Periodic data rigidity of Anosov automorphisms with Jordan blocks
    To appear in Ergodic Theory and Dynamical Systems. [arXiv]
  4. Cocycles measurably conjugate to unipotent over hyperbolic systems
    To appear in Israel Journal of Mathematics. [arXiv]
  5. Coexistence of measures with simple Lyapunov spectrum for fiber-bunched cocycles
    (with Daniel Mitsutani) Preprint (2023). [arXiv]
  6. Dominated splitting from constant periodic data and global rigidity of Anosov automorphisms
    (with Andrey Gogolev) Geometric and Functional Analysis 34 (2024): 1370-1398. [arXiv] [DOI]
  7. Anosov diffeomorphisms of open surfaces
    (with Snir Ben Ovadia) (2024). [arXiv]
  8. Expanding on average diffeomorphisms of surfaces: exponential mixing
    (with Dmitry Dolgopyat) (2024). [arXiv]

During the summers of 2017 through 2020, along with N. Mayer, L. Mazurowski, and M. Neaton, I organized a math subject GRE preparation session for participants in the UChicago REU.