Mengyi Xie

I am a Ph.D. student in Mathematics at Yale University (expected graduation: 2027), advised by Wilhelm Schlag. I received my bachelor’s degree from Nanyang Technological University, where my undergraduate advisor was Tang Wee Kee.

I am interested in analysis and partial differential equations. My current research focuses on the long-time behavior and stability of solutions to nonlinear dispersive equations.

I am on the academic job market for 2026–2027.

Mengyi Xie
Email: mengyi.xie (at) yale.edu

Papers & preprints

  1. Global solutions for 5D quadratic fourth-order Schrödinger equations

    with Ebru Toprak

    Journal of Functional Analysis 291 (2026), no. 2, 111420. (arXiv) (journal)

  2. Inverse modified scattering for cubic NLS with a repulsive delta potential

    Submitted. (arXiv)

  3. Long-time dynamics of Vlasov–Hartree systems across the Coulomb threshold

    with Wenrui Huang

    Submitted. (arXiv)

  4. A common structure for modified scattering: Vlasov–Riesz, Hartree, and their coupling

    with Wenrui Huang

    Submitted. (arXiv)

  5. A Physical-Space Approach to Modified Scattering for the 3D Hartree Equation: Full-Space and Robin Half-Space

    with Benoît Pausader

    Submitted. (arXiv)

  6. Modified scattering for the 3D Hartree equation with singular external potentials

    (arXiv)

Talks

Teaching

Yale University