Kai Fu

Email: kai.fu (at) math.u-bordeaux.fr

I am a third year PhD student at Institut de Mathématiques de Bordeaux, in the Geometry group.

I am co-advised by Vincent Delecroix and Elise Goujard.

I am interested in various aspects of surfaces (real two-dimensional manifolds) and their associated moduli spaces, with a focus on the interactions between geometry, combinatorics, and topology.

My research focuses on the study of holomorphic and meromorphic Abelian differentials, and flat cone surfaces. I employ combinatorial tools, such as Delaunay triangulations and Strebel graphs, to represent these structures and analyze their degenerations within compactifications of moduli spaces. Furthermore, I am intrigued by curve counting problems on saddle connections and cylinders.

Here is my CV.