WF

Fei Wei

I am currently a research fellow in the Department of Mathematics at the University of Sussex, UK. Prior to this, I worked with Jon Keating at the University of Oxford from 2022 to 2024. I was a postdoctoral researcher at Tsinghua University from 2019 to 2022, and a research associate in the Department of Physics at Harvard University from 2018 to 2019. I received my PhD from both the University of New Hampshire and the University of the Chinese Academy of Sciences.

Research interests: random matrix theory, number theory, probability theory

E-mail: weif0831@gmail.com; F.W.Wei@sussex.ac.uk

Publications

  1. Exchangeable arrays and integrable systems for characteristic polynomials of random matrices
    with Theodoros Assiotis, Mustafa Alper Gunes, Jonathan P Keating
    Communications on Pure and Applied Mathematics (accepted), 2026.
    arXiv:2407.19233 (64 pages), 2024

  2. Joint Moments of Characteristic Polynomials from the Orthogonal and Unitary Symplectic Groups
    with Theodoros Assiotis, Mustafa Alper Gunes, Jonathan P Keating
    Proceedings of the London Mathematical Society (accepted), 2026.
    arXiv:2508.09910 (52 pages), 2025

  3. On moments of the derivative of CUE characteristic polynomials and the Riemann zeta function
    with Nick Simm
    Journal of the London Mathematical Society, (2) 2026;113:e70487
    arXiv:2409.03687 (50 pages), 2024

  4. Higher order linear differential equations for unitary matrix integrals: applications and generalisations
    with Peter J Forrester
    Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 22 (2026), 015
    arXiv:2508.20797 (21 pages), 2025

  5. M\"{o}bius Disjointness for product flows of rigid dynamical systems and affine linear flows
    Discrete and Continuous Dynamical Systems 45 (4), 969-1007 (39 pages), 2025

  6. Joint moments of higher order derivatives of CUE characteristic polynomials II: Structures, recursive relations, and applications
    with Jonathan P Keating
    Nonlinearity, 37(8), 085009 (55 pages), 2024

  7. Joint moments of higher order derivatives of CUE characteristic polynomials I: asymptotic formulae
    with Jonathan P Keating
    International Mathematics Research Notices 2024 (12), 9607-9632 (26 pages), 2024

  8. M\"{o}bius disjointness for a class of exponential functions
    with Weichen Gu
    The Quarterly Journal of Mathematics 73 (4), 1427-1468 (42 pages), 2022

  9. A characterization of the zero-free region of the Riemann zeta function and its applications
    with Dongsheng Wu
    Expositiones Mathematicae 40 (4), 961-993 (33 pages), 2022

  10. Disjointness of M\"{o} bius from asymptotically periodic functions
    Pure and Applied Mathematics Quarterly 18 (3), 863–922 (60 pages), 2022

  11. Anqie entropy and arithmetic compactification of natural numbers
    Banach Journal Mathematical Analysis 16 (1), 11 (32 pages), 2022

  12. General divisor functions in arithmetic progressions to large moduli
    with Boqing Xue, Yitang Zhang
    Science China Mathematics 59, 1663-1668 (6 pages), 2016

Preprints

  1. Asymptotic analysis of a Family of Painlev\'e Functions with Applications to CUE Derivative Moments
    with Thomas Bothner
    arXiv:2511.18118 (53 pages), 2025