Prof. Mok Ngai-ming

Academician of the Chinese Academy of Sciences

Professor Mok is a member of the Chinese Academy of Sciences. He is dedicated to research in Several Complex Variables, Complex Differential Geometry and Algebraic Geometry. In 1988, using the Ricci flow in Non-linear Partial Differential Equations and the theory of rational curves in Algebraic Geometry, Prof Mok resolved the Generalized Frankel Conjecture.  He introduced the algebro-geometrization of complete Kähler manifolds and collaborated with Professor Jiaqing Zhong from the CAS to prove the Compactification Theorem for complete Kähler manifolds of finite volume, publishing their result in Annals of Mathematics in 1989.  The latter article was the first in the authoritative journal coauthored by a mathematician from the Mainland since China opened up in the late 1970s.  Prof Mok developed with collaborators a geometric theory on Fano manifolds based on the notion of VMRTs (varieties of minimal rational tangents), proving the rigidity of irreducible compact Hermitian symmetric spaces under Kähler deformation in 1998 and solving in 1999 and 2004 the Lazarsfeld Problem in Algebraic Geometry.  Since around 2010, Prof Mok has been working on the interface of Algebraic Geometry, Complex Differential Geometry and Number Theory.  With collaborators he has been developing a differential-geometric theory of submanifolds of projective manifolds uniruled by lines, and he solved difficult geometric problems on quotients of bounded symmetric domains arising from Number Theory using methods of Complex Differential Geometry.

Sourcehttps://www.scifac.hku.hk/people/mok-ngai-ming 

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