People

Shinpei BABA

Email	baba(@math.sci.osaka-u.ac.jp)
Research	Geometry and topology
Keywords	hyperbolic geometry, Riemann surface, holonomy, Teichmüller Theory, measured lamination
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I am interested in the interaction of geometry and topology. Complex geometry and dynamics often come into play. More precisely, my research has been centered on complex projective structures on a Riemann surface. Analytically, such a structure corresponds to a holomorphic quadratic differential on a Riemann surface. Algebraically, its holonomy representation is a homomorphism from the fundamental group of the surface into PSL_2C. By the work of Thurston, it also corresponds to an equivariant pleated surface in the three-dimensional hyperbolic space.

I am fascinated by the interactions between such different perspectives with different flavors, and searching for deeper friendship between them.