Ngaiming Mok | Academic Influence

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Ngaiming Mok

Mathematics

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#1822

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Measure Theory

#3070

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#3642

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Mathematics

Ngaiming Mok's Degrees

PhD Mathematics Stanford University
Masters Mathematics Stanford University
Bachelors Mathematics Stanford University

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Why Is Ngaiming Mok Influential?

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According to Wikipedia, Ngaiming Mok is a Hong Kong mathematician specializing in complex differential geometry and algebraic geometry. He is currently a professor at the University of Hong Kong. After graduating from St. Paul's Co-educational College in Hong Kong in 1975, Mok studied at the University of Chicago and Yale University, obtaining his M.A. in Mathematics from Yale in 1978. He obtained his Ph.D. from Stanford University under the guidance of Yum-Tong Siu. He taught at Princeton University, Columbia University and the University of Paris-Saclay before joining the faculty of the University of Hong Kong in 1994. He has been the director of the University of Hong Kong's Institute of Mathematical Research since 1999.

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Ngaiming Mok's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Compact kähler manifolds of nonnegative holomorphic bisectional curvature (1986) (288)
Metric Rigidity Theorems On Hermitian Locally Symmetric Manifolds (1989) (210)
The Poincaré-Lelong equation on complete Kähler manifolds (1981) (116)
Birationality of the tangent map for minimal rational curves (2003) (95)
Rigidity of irreducible Hermitian symmetric spaces of the compact type under Kähler deformation (1996) (92)
An embedding theorem of complete Kähler manifolds of positive bisectional curvature onto affine algebraic varieties (1984) (80)
Geometric superrigidity (1993) (80)
Cartan–Fubini type extension of holomorphic maps for Fano manifolds of Picard number 1 (2001) (70)
Prolongations of infinitesimal linear automorphisms of projective varieties and rigidity of rational homogeneous spaces of Picard number 1 under Kähler deformation (2005) (69)
Varieties of Minimal Rational Tangents on Uniruled Projective Manifolds (1999) (66)
Uniruled projective manifolds with irreducible reductive G-structures. (1997) (58)
Rigidity of convex realizations of irreducible bounded symmetric domains of rank 2. (1992) (54)
Extension of germs of holomorphic isometries up to normalizing constants with respect to the Bergman metric (2012) (54)
Recognizing Certain Rational Homogeneous Manifolds of Picard Number 1 from their Varieties of Minimal Rational Tangents (2006) (50)
Uniqueness theorems of Hermitian metrics of seminegative curvature on quotients of bounded symmetric domains (1987) (48)
Projective Algebraicity of Minimal Compactifications of Complex-Hyperbolic Space Forms of Finite Volume (2012) (46)
Germs of measure-preserving holomorphic maps from bounded symmetric domains to their Cartesian products (2011) (46)
Deformation rigidity of the rational homogeneous space associated to a long simple root (2002) (45)
Ax-Schanuel for Shimura varieties (2017) (44)
Finite morphisms onto Fano manifolds of Picard number 1 which have rational curves with trivial normal bundles (2003) (42)
Holomorphic maps from rational homogeneous spaces of Picard number 1 onto projective manifolds (1999) (41)
On fano manifolds with nef tangent bundles admitting 1-dimensional varieties of minimal rational tangents (2002) (39)
Geometry of holomorphic isometries and related maps between bounded domains (2011) (37)
Factorization of semisimple discrete representations of Kähler groups (1992) (37)
Compactifying complete Kähler-Einstein manifolds of finite topological type and bounded curvature (1989) (36)
Holomorphic immersions between compact hyperbolic space forms (1990) (34)
Local Holomorphic Isometric Embeddings Arising from Correspondences in the Rank-1 Case (2002) (32)
The holomorphic or anti-holomorphic character of harmonic maps into irreducible compact quotients of polydiscs (1985) (31)
Geometric structures on uniruled projective manifolds defined by their varieties of minimal rational tangents (2008) (30)
Characterization of Certain Holomorphic Geodesic Cycles on Quotients of Bounded Symmetric Domains in terms of Tangent Subspaces (2002) (29)
The Serre problem on Riemann surfaces (1980) (26)
Holomorphic isometries of the complex unit ball into irreducible bounded symmetric domains (2016) (26)
Characterization of smooth Schubert varieties in rational homogeneous manifolds of Picard number 1 (2012) (24)
An embedding theorem of complete Kähler manifolds of positive Ricci curvature onto quasi-projective varieties (1990) (22)
Geometric Structures and Substructures on Uniruled Projective Manifolds (2016) (22)
Nonexistence of proper holomorphic maps between certain classical bounded symmetric domains (2008) (21)
Deformation Rigidity Of the 20-dimensional F4-homogeneous Space Associated To a Short Root (2004) (21)
Analytic continuation of holomorphic maps respecting varieties of minimal rational tangents and applications to rational homogeneous manifolds (2010) (20)
Geometric Realizations of Uniformization of Conjugates of Hermitian Locally Symmetric Manifolds (1993) (19)
Curvature characterization of compact Hermitian symmetric spaces (1986) (18)
Metric rigidity theorems on Hermitian locally symmetric spaces. (1986) (18)
Strong rigidity of irreducible quotients of polydiscs of finite volume (1988) (17)
Remarks on lines and minimal rational curves (2008) (16)
Characterization of standard embeddings between complex Grassmannians by means of varieties of minimal rational tangents (2008) (16)
Harmonic Forms with Values in Locally Constant Hilbert Bundles (2020) (15)
G-structures on irreducible Hermitian symmetric spaces of rank >= 2 and deformation rigidity (1999) (14)
Compactification of complete Kähler surfaces of finite volume satisfying certain curvature conditions (1989) (14)
Nonexistence of holomorphic submersions between complex unit balls equivariant with respect to a lattice and their generalizations (2008) (13)
Second fundamental forms of holomorphic isometries of the Poincaré disk into bounded symmetric domains and their boundary behavior along the unit circle (2009) (12)
Rigidity of pairs of rational homogeneous spaces of Picard number $1$ and analytic continuation of geometric substructures on uniruled projective manifolds (2019) (11)
Projective manifolds dominated by abelian varieties (2001) (11)
Factorization of proper holomorphic maps on irreducible bounded symmetric domains of rank ⩾ 2 (2010) (11)
On holomorphic immersions into kähler manifolds of constant holomorphic sectional curvature (2005) (11)
Uniqueness theorems of Kähler metrics of semipositive bisectional curvature on compact Hermitian symmetric spaces (1987) (11)
Holomorphic isometries of B m into bounded symmetric domains arising from linear sections of minimal embeddings of their compact duals (2016) (10)
On the asymptotic behavior of holomorphic isometries of the Poincaré disk into bounded symmetric domains (2009) (10)
Characterization of certain holomorphic geodesic cycles on Hermitian locally symmetric manifolds of noncompact type (1995) (9)
Local holomorphic curves on a bounded symmetric domain in its Harish-Chandra realization exiting at regular points of the boundary (2014) (9)
Holomorphic isometries of $${\mathbb {B}}^m$$Bm into bounded symmetric domains arising from linear sections of minimal embeddings of their compact duals (2017) (9)
Characterization of Bounded Domains Covering Zariski Dense Subsets of Compact Complex Spaces (1983) (9)
On the Zariski Closure of a Germ of Totally Geodesic Complex Submanifold on a Subvariety of a Complex Hyperbolic Space Form of Finite Volume (2010) (8)
Eigensections on Kuga families of abelian varieties and finiteness of their Mordell-Weil groups. (1993) (8)
Rigidity of holomorphic self-mappings and the automorphism groups of hyperbolic Stein spaces (1984) (8)
Fibrations of compact Kähler manifolds in terms of cohomological properties of their fundamental groups (2000) (7)
Rigidity Problems on compact quotients of bounded symmetric domains (2007) (7)
On the Validity of Failure of Gap Rigidity for Certain Pairs of Bounded Symmetric Domains (2004) (6)
Bounds on the dimension ofL2 holomorphic sections of vector bundles over complete Kähler manifolds of finite volume (1986) (6)
Extremal bounded holomorphic functions and an embedding theorem for arithmetic varieties of rank ≥ 2 (2004) (6)
The generalized theorem of Castelnuovo-de Franchis for unitary representations (1997) (5)
Zariski closures of images of algebraic subsets under the uniformization map on finite-volume quotients of the complex unit ball (2019) (5)
Complete Kähler-Einstein metrics on bounded domains locally of finite volume at some boundary points (1988) (5)
Topics in Complex Differential Geometry (1990) (3)
Ergodicity, bounded holomorphic functions and geometric structures in rigidity results on bounded symmetric domains (2007) (3)
Erratum to: Remarks on lines and minimal rational curves (2014) (3)
Characterization and deformation-rigidity of compact irreducible Hermitian symmetric spaces of rank >=2 among Fano manifolds (1998) (3)
Automorphism groups of spaces of minimal rational curves on Fano manifolds of Picard number 1 (2004) (2)
On compact splitting complex submanifolds of quotients of bounded symmetric domains (2017) (2)
Holomorphic Retractions of Bounded Symmetric Domains onto Totally Geodesic Complex Submanifolds (2022) (2)
Steinness of universal covers of certain compact Kähler manifolds. (1997) (1)
Asymptotic total geodesy of local holomorphic curves on a bounded symmetric domain in its Harish-Chandra realization exiting the boundary (2016) (1)
Rigidity of certain admissible pairs of rational homogeneous spaces of Picard number 1 which are not of the subdiagram type (2019) (1)
Title Finite morphisms onto Fano manifolds of Picard number 1 whichhave rational curves with trivial normal bundles (2003) (1)
On a vanishing theorem on irreducible quotients of finite volume of polydiscs (1986) (1)
PROPER HOLOMORPHIC MAPS BETWEEN BOUNDED SYMMETRIC DOMAINS WITH SMALL RANK DIFFERENCES (2022) (1)
Some Recent Results on Holomorphic Isometries of the Complex Unit Ball into Bounded Symmetric Domains and Related Problems (2018) (1)
Uniqueness Modulo Reduction of Bergman Meromorphic Compactifications of Canonically Embeddable Bergman Manifolds (2014) (1)
Asymptotic total geodesy of local holomorphic curves exiting a bounded symmetric domain and applications to a uniformization problem for algebraic subsets (2018) (1)
Holomorphic foliations with compatible degenerate Ke4hler metrics: Applications to the Shafarevich conjecture and to fibration theorems (1996) (1)
Full cones swept out by minimal rational curves on irreducible Hermitian symmetric spaces as examples of varieties underlying geometric substructures (2018) (1)
Schur rigidity of Schubert varieties in rational homogeneous manifolds of Picard number one (2020) (1)
Fibering Compact Kähler Manifolds over Projective Algebraic Varieties of General Type (1995) (1)
Geometric Structures and Substructures in Complex Geometry (2016) (0)
BOUNDED SYMMETRIC DOMAINS — THE CLASSICAL CASES (1989) (0)
HISTORICAL BACKGROUND AND SUMMARY OF RESULTS (1989) (0)
THE KÄHLER METRIC RIGIDITY THEOREM IN THE SEMIPOSITIVE CASE (1989) (0)
Aspects of mathematics : algebra, geometry and several complex variables (2001) (0)
Title On the asymptotic behavior of holomorphic isometries of thePoincaré disk into bounded symmetric domains (2009) (0)
Uniformization Problems on Subvarieties of Finite-Volume Quotient Spaces of Bounded Symmetric Domains (2019) (0)
Multiplicities of the Betti Map Associated to a Section of an Elliptic Surface from a Differential-Geometric Perspective (2022) (0)
Strict singularity of a Volterra type integral operator on (2016) (0)
Techniques of Analytic Continuation in Complex Geometry related to bounded symmetric domains (I-III) (2011) (0)
BOUNDED SYMMETRIC DOMAINS — GENERAL THEORY (1989) (0)
Rigidity phenomena for sub-VMRT structures on uniruled projective manifolds (2014) (0)
Geometric structures arising from tangents to minimal rational curves (2011) (0)
On singularities of generically immersive holomorphic maps between complex hyperbolic space forms (2011) (0)
Analytic continuation for germs of holomorphic maps between bounded symmetric domains (2011) (0)
THE IMMERSION PROBLEM FOR COMPLEX HYPERBOLIC SPACE FORMS (1989) (0)
Negativity of curvature on spaces parametrizing Hodge decompositions of reduced first cohomology groups (2003) (0)
THE HERMITIAN METRIC RIGIDITY THEOREM FOR QUOTIENTS OF FINITE VOLUME (1989) (0)
Masatake Kuranishi (1924–2021) (2022) (0)
Title Rigidity of irreducible Hermitian symmetric spaces of thecompact type under Kähler deformation (2008) (0)
Erratum to: Remarks on lines and minimal rational curves (2014) (0)
Extension of inverses of Γ-equivariant holomorphic embeddings of bounded symmetric domains of rank ≥ 2 and applications to rigidity problems (2016) (0)
Geometric structures and substructures on Fano manifolds and their relationship with Kähler geometry (2017) (0)
A RIGIDITY THEOREM FOR HOLOMORPHIC MAPPINGS BETWEEN IRREDUCIBLE HERMITIAN SYMMETRIC MANIFOLDS OF COMPACT TYPE (1989) (0)
Schur rigidity of Schubert varieties in rational homogeneous manifolds of Picard number one (2020) (0)
On the Zariski closure of a germ of totally geodesic complex submanifold on an arithmetic variety (2012) (0)
On compact splitting complex submanifolds of quotients of bounded symmetric domains (2017) (0)
Armand Borel in Hong Kong (2004) (0)
Analytic continuation on bounded symmetric domains and uniruled projective manifolds (2015) (0)
Complex Geometry on Bounded Symmetric Domains I. Metric rigidity (2006) (0)
Boundary behavior of holomorphic maps into bounded symmetric domains and applications to geometric problems (2010) (0)
RIEMANNIAN AND HERMITIAN SYMMETRIC MANIFOLDS (1989) (0)
A Journey through Symmetry and Geometric Structures in Complex Geometry (2016) (0)
Geometric substructures and uniruled projective subvarieties of Fano manifolds of Picard number 1 (2016) (0)
Analytic continuation of holomorphic maps which respect geometric structures (2011) (0)
FUNDAMENTALS OF HERMITIAN AND KÄHLER GEOMETRIES (1989) (0)
Analytic continuation of germs of complex submanifolds on uniruled projective manifolds inheriting geometric substructures (2015) (0)
THE HERMITIAN METRIC RIGIDITY THEOREM ON LOCALLY HOMOGENEOUS HOLOMORPHIC VECTOR BUNDLES (1989) (0)
Functional Transcendence for Lattices of Automorphisms of Bounded Symmetric Domains (2019) (0)
THE HERMITIAN METRIC RIGIDITY THEOREM FOR COMPACT QUOTIENTS (1989) (0)

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