Zheng Zhu朱政

Research

Arithmetic under iteration.

My research interests lie in arithmetic dynamics, Arakelov geometry, and Diophantine geometry.

Selected work

Publications and preprints

  1. 01
    Preprint

    Iterated Monodromy Group with Non-Martingale Fixed-Point Process

    with Jianfei He

    Submitted, 2024

  2. 02
    Publication

    Transitive and non-transitive subgroups of permutation groups

    with Arda Demirhan, Jacob Miller, Yixu Qiu, and Thomas J. Tucker

    Accepted by Involve, 2023

  3. 03
    In preparation

    Local Arboreal Representations for Unicritical Polynomials of Arbitrary Degree

    with Dang-Khoa Nguyen

    In preparation

  4. 04
    In preparation

    On Equidistribution of Subvarieties with Respect to Mixed Line Bundles

    with Peter J. Oberly and Thomas J. Tucker

    In preparation

  5. 05
    In preparation

    Geometric Monodromy and Finite Index for Non-Martingale Quartic Rational Maps

    Manuscript ready

  6. 06
    In preparation

    A Defect-to-Entanglement Dictionary for Twisted Carlitz Arboreal Towers

    Manuscript ready

  7. 07
    In preparation

    Quadratic Common Values of Rational Functions and Polynomials

    Manuscript ready