简历 科研 教学 活动 English version

科研主题:

  1. 我的主要研究兴趣为数学物理，涉及话题:
    流形上的指标理论, 模空间上的相交数理论.

  2. 我也对这些方向感兴趣:
    复几何, 高能物理, 几何分析, 偏微分方程, 人工智能与统计, 随机矩阵, 辛几何.

已过审论文:

  1. Mapping cone Thom forms.
    Peking Mathematical Journal (2026).
    DOI: 10.1007/s42543-026-00133-6.
    arXiv: 2603.25087.

  2. Symplectic semi-characteristics.
    Pacific Journal of Mathematics 343-2 (2026), 485-507.
    DOI: 10.2140/pjm.2026.343.485.
    MathSciNet: MR5076564.
    arXiv: 2505.14496.

arXiv预印本:

  1. Bott connection in the mapping cone case.
    arXiv: 2609.07007v1. 已提交.

  2. Instanton construction of the mapping cone Thom-Smale complex.
    arXiv: 2603.08404v2. 已提交.

  3. A Serre type vanishing property of the twisted primitive cohomology.
    arXiv: 2605.21410v1. 已提交.

  4. Transgression in the primitive cohomology.
    arXiv: 2512.24920v1. 已提交.

  5. A vanishing property about the 1-filtered cohomology groups of (4n+2)-dimensional closed symplectic manifolds.
    arXiv: 2510.10630v1. 已提交.

  6. Analytic and topological realizations of the invariant Thom-Smale complex.
    arXiv: 2311.10417v4. 博士论文第一部分. 已提交.

  7. Kervaire semi-characteristics in KK-theory and an Atiyah type vanishing theorem.
    arXiv: 2410.00794v2. 博士论文第二部分. 已提交.