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Topics:

  1. I mainly work on mathematical physics involving:

    • High energy physics,

    • Index theory,

    • Intersection theory,

    • K-theory,

    • Symplectic geometry.

  2. I am interested in AI and statistics.

Papers:

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

  2. Symplectic semi-characteristics.
    arXiv, submitted.

  3. Analytic and topological realizations of the invariant Thom-Smale complex.
    arXiv, submitted.

  4. Kervaire semi-characteristics in KK-theory and an Atiyah type vanishing theorem.
    arXiv, submitted.