Daowei Ma

Daowei Ma, Professor

Several Complex Variables, Geometric Analysis; PhD, Washington University, 1990

Contact

Research

Daowei Ma's research interests lie in the areas of complex analysis of several variables. He is working on problems related to automorphism groups, determining sets for automorphisms and endomorphisms, and Grauert tubes. The automorphism group of a complex manifold is the group of bijective holomorphic self maps of the manifold. A subset S of a complex manifold M is said to be a determining set for automorphisms (resp. endomorphisms) if each automorphism (resp. endomorphism) of M fixing each point of S must be the identity map. A Grauert tube for a real analytic Riemannian manifold is a tubular neighborhood of the manifold in its tangent bundle equipped with a certain canonical complex structure.

Selected Publications

  • D. Ma, Boundary behavior of invariant metrics and volume forms, Duke Math. J., 63 (1991), 673-697
  • D. Ma and J.E. Fornaess, A 2-sphere in C2 that cannot be filled in with analytic disks, Int'l Math. Res. Notices, 1 (1995), 17-22
  • D. Ma and S.J. Kan, On rigidity of Grauert tubes over Riemannian manifolds of constant curvature, Math. Z., 239 (2002), 353-63
  • D. Ma, B. Fridman and E.A. Poletsky, Upper semicontinuity of the dimensions of automorphism groups of domains in Cn, Amer. J. Math., 125 (2003), 289-299
  • D. Ma and K.-T. Kim, Characterization of the Hilbert ball by its automorphisms, J. Korean Math. Soc., 40 (2003), 503-516
  • D. Ma, B. Fridman and J.-P. Vigue Isolated fixed point sets for holomorphic maps, accepted, J. Math. Pures Appl.