Differential Geometry
K-Theory
Mathematical Physics
Symplectic Geometry
Symplectic semi-characteristics (arXiv:2505.14496).
Analytic and topological realizations of the invariant Thom-Smale complex (arXiv:2311.10417v4).
Kervaire semi-characteristics in KK-theory and an Atiyah type vanishing theorem (arXiv:2410.00794v2, submitted).