van Koert, Otto Ferdinand Bernard(van Koert, Otto Ferdinand Bernard):大学院理学研究院数学部門,ポスドク研究員,幾何

Contact topology, contact homology, open book decompositions, symplectic topology
Contact topology
My main research interest is contact topology. More specifically, I am interested in existence and uniqueness questions for contact structures on higher dimensional manifolds. For the existence, I often apply open book techniques as developed by Giroux. Currently I spend most of my time developing computational tools for contact homology. This is an invariant of contact manifolds defined by counting solutions to a certain non-linear Cauchy-Riemann equation.