Ngaiming Mok

Ngaiming Mok (* around 1957 in Hong Kong ) is a Chinese mathematician who is a professor at Hong Kong University . He deals with complex differential geometry and algebraic geometry .

Mok graduated from high school in Hong Kong in 1975. He studied at the University of Chicago and Yale University (Masters degree 1978) and received his PhD from Stanford University in 1980 with Yum-Tong Siu (The Serre Problem on Riemann Surfaces) . He then went to Princeton University and was a professor at Columbia University and Paris-South University in Orsay, before returning to Hong Kong in 1994 for a professorship. From 1999 he was also director of the Institute of Mathematical Research there.

In 2009 he and Duong H. Phong received the Bergman Prize for fundamental contributions to the theory of several complex variables and especially the geometry of Kähler manifolds and algebraic varieties, as well as for his work on the rigidity of irreducible symmetric Hermitian spaces of compact type under Kähler deformations, whereby he has both used analytical as well as algebraic methods

In 1984 he was a Sloan Research Fellow and in 1985 he received a Presidential Young Investigator Award. In 2007 he received the State Prize for Science in China and in 1998 the Croucher Senior Fellowship Award in Hong Kong. In 1994 he was invited speaker at the International Congress of Mathematicians in Zurich (Fibering compact Kähler manifolds over projective algebraic varieties of general type).

Mok was on the editorial board of Mathematische Annalen and Inventiones Mathematicae.

Fonts

• Metric rigidity theorems on hermitian locally symmetric manifolds, World Scientific 1989
• Metric rigidity theorems on locally symmetric Hermitian spaces, Proc. Natl. Acad. Sci. USA, 83: 2288-2290 (1986).
• Uniqueness theorems of Hermitian metrics of seminegative curvature on locally symmetric spaces of negative Ricci curvature, Ann. Math. (1987) 125: 105-152.
• The uniformization theorem for compact Kähler manifolds of nonnegative holomorphic bisectional curvature, J. Diff. Geom. 27: 179-214 (1988).
• Compactification of complete Kähler surfaces of finite volume satisfying certain curvature conditions, Ann. Math. 129: 383-425 (1989).
• with J.-Q. Zhong: Compactifying complete Kähler-Einstein manifolds of finite topological type and bounded curvature, Ann. Math. 129: 427-470 (1989).
• with H.-D. Cao: Holomorphic immersions between compact hyperbolic space forms, Invent. Math. 100: 49-61 (1990).
• Factorization of semisimple discrete representation of Kähler groups, Invent. Math. 110: 557-614 (1992).
• with Yum-Tong Siu , S.-K. Yeung: Geometric superrigidity, Invent. Math. 113: 57-83 (1993).
• with Jun-Muk Hwang: Rigidity of irreducible Hermitian symmetric spaces of the compact type under Kähler deformation, Invent. Math. (1998) 131: 393-418.
• with J.-M. Hwang: Holomorphic maps from rational homogeneous spaces of Picard number 1 onto projective manifolds, Invent. Math. 136: 209-231 (1999).
• Extremal bounded holomorphic functions and an embedding theorem for arithmetic varieties of rank 2, Invent. Math. 158: 1-31 (2004).
• with J.-M. Hwang: Prolongations of infinitesimal linear automorphisms of projective varieties and rigidity of rational homogeneous spaces of Picard number 1 under Kähler deformation, Invent. Math. 160: 591-645 (2005).
• Geometric structures on uniruled projective manifolds defined by their varieties of minimal rational tangents, Proceedings of the Conference "Géometrie différentielle, Physique mathématique, Mathématique et Société", Astérisque 322 (2008), Volume II, 151-205
• with J. Hong: Analytic continuation of holomorphic maps respecting varieties of minimal rational tangents and applications to rational homogeneous manifolds, J. Diff. Geom. 86 (2010), 539-567.
• S.-C. Ng: Germs of measure-preserving holomorphic maps from bounded symmetric domains to their Cartesian products, J. Reine Angew. Math. 669, (2012), 47-73.
• Extension of germs of holomorphic isometries up to normalizing constants with respect to the Bergman metric, J. Eur. Math. Soc. 14: 1617-1656 (2012).

Web links

• Homepage

Individual evidence

1. ↑ Ngaiming Mok in the Mathematics Genealogy Project (English)
2. ↑ Notices AMS, 2011, No. 4, pdf