我的主要研究兴趣为数学物理,涉及以下话题:
高能物理,
K理论,
相交数理论,
辛几何,
指标理论.
我也对人工智能与统计的新进展感兴趣.
A vanishing property about the 1-filtered cohomology groups of (4n+2)-dimensional closed symplectic manifolds.
arXiv, 已提交.
Symplectic semi-characteristics.
arXiv, 已提交.
Analytic and topological realizations of the invariant Thom-Smale complex.
arXiv, 已提交.
Kervaire semi-characteristics in KK-theory and an Atiyah type vanishing theorem.
arXiv, 已提交.