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Topics:

  1. I mainly work on mathematical physics involving:

    • High energy physics,

    • Index theory,

    • K-theory,

    • Quantum cohomology,

    • Symplectic geometry.

  2. I am interested in AI and statistics.

Accepted Papers:

  1. Symplectic semi-characteristics.
    To appear in Pacific Journal of Mathematics.
    arXiv:2505.14496v1.

Preprints on arXiv:

  1. Mapping cone Thom forms.
    arXiv:2603.25087v1, submitted.

  2. Instanton construction of the mapping cone Thom-Smale complex.
    arXiv:2603.08404v1, submitted.

  3. Transgression in the primitive cohomology.
    arXiv:2512.24920v1, submitted.

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

  5. Analytic and topological realizations of the invariant Thom-Smale complex.
    arXiv:2311.10417v4, part 1 in my thesis, submitted.

  6. Kervaire semi-characteristics in KK-theory and an Atiyah type vanishing theorem.
    arXiv:2410.00794v2, part 2 in my thesis, submitted.