Liuwei GongCV

Postdoctoral Fellow · Mathematics

Liuwei Gong巩刘伟

My research connects analytic methods with geometric structure, from conformally invariant curvature equations to oscillatory integral operators on manifolds.

Currently a postdoctoral fellow at the Chinese University of Hong Kong, working with Juncheng Wei.

I received my PhD from Rutgers University under the supervision of Yanyan Li. My work spans nonlinear, harmonic, and geometric analysis.

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Office
Room 711, Academic Building No. 1, CUHK
Liuwei Gong at the Institute of Mathematical Sciences

Articles & preprints

Research in geometric analysis, conformal geometry, and oscillatory integral theory.

  1. 2026Preprint

    The (local) geometry of oscillatory integrals on manifolds: Dimension three

    With Song Dai and Shaoming Guo

    arXiv
  2. 2026Preprint

    Global convergence of the Gursky–Malchiodi Q-curvature flow

    With Sanghoon Lee and Juncheng Wei

    arXiv
  3. 2025Preprint

    Compactness and non-compactness theorems of the fourth- and sixth-order constant Q-curvature problems

    With Seunghyeok Kim and Juncheng Wei

    arXiv
  4. 2025Journal article

    Conformal metrics of constant scalar curvature with unbounded volumes

    With Yanyan Li

    Proceedings of the London Mathematical Society 131, e70069

    JournalarXiv
  5. 2024Journal article

    Oscillatory integral operators on manifolds and related Kakeya and Nikodym problems

    With Song Dai, Shaoming Guo, and Ruixiang Zhang

    Cambridge Journal of Mathematics 12 (4), 937–1015

    JournalarXiv

Academic exchange

Invited talks

Global convergence of the Gursky–Malchiodi Q-curvature flow

  • Yunnan Normal University
  • Nanjing University

Oscillatory integral operators on manifolds

  • Westlake University
  • City University of Hong Kong

Compactness and non-compactness theorems of constant Q-curvature problems

  • Tianjin University
  • Beijing Normal University Zhuhai

Conformal metrics of constant scalar curvature with unbounded volumes

  • Guangzhou University
  • 14th AIMS Conference, Abu Dhabi
  • University of Wisconsin–Madison

In the classroom

Teaching

MATH 250 · Linear Algebra

  • Rutgers University