WELCOME TO XIAOJUN HUANG's HOME PAGE

·  Research Fields: Complex Analysis of Several Variables and Complex Geometry

·  office : Hill Center 712, Busch Campus

·  office hours : Monday and Wedensday from 3:30-5:00pm (also by appointment).

·  E-Mail: (huangx@math.rutgers.edu).

·  Regular Mailing address:

Xiaojun Huang, Department of Mathematics, Hill Center-Busch Campus, Rutgers University, Piscataway, NJ 08854-8019, USA

·  Phone numbers: 848-445-6796(o); Fax number: (732)445-5340

PDF-files of some of my publications:

·  [The pdf file of my brief Curriculum Vitae]

·  [Extension of multivalued holomorphic functions on a Stein space] (with X. Li, Math. Ann. )

·  [ Complex geodesics and complex Monge Ampere equations with boundary singularity] (with X. Wang, Math. Ann.)

·  [PROPER MAPPINGS BETWEEN INDEFINITE HYPERBOLIC SPACES AND TYPE ONE CLASSICAL DOMAINS] (with J. Lu, X. Tang and M. Xiao, TAMS)

·  [Bergman-Einstein metrics, a generalization of Kerner's theorem and Stein spaces with spherical boundaries] (with Ming Xiao, Crell )

·  [Regular multi-types and the Bloom conjecture] (with Wanke Yin, JMPA)

·  [Boundary characterization of holomorphic isometric embeddings between indefinite hyperbolic spaces] (with J. Lu, X. Tang and M. Xiao, Advances in Math.)

·  [Bergman-Einstein metrics on Stein spaces with strongly pseudoconvex boundaries](with X. Li, CAG, to appear)

·  [Rigidity of mappings between degenerate and indfinite hyperbolic spaces] (with M. Xiao, JGA)

·  [ Volume-preserving mappings between Hermitian symmetric spaces of compact type] (with H. Fang and M. Xiao, Advances in Mathematics Volume 360, 2020.)

·  [Flattening of CR singular points and analyticity of the local hull of holomorphy (with Yin), submitted]

·  [Flattening of CR singular points and analyticity of the local hull of holomorphy I (with Yin), submitted]

·  [Flattening of CR singular points and analyticity of the local hull of holomorphy II (with Yin), submitted]

·  [Holomorphic isometry from a K\"ahler manifold into a product of complex projective manifolds (with Yuan Yuan), to appear in GAFA]

·  [Non-embeddable real algebraic hypersurfaces'' (with D. Zaitsev), to appear in Math. Z.]

·  [CR and holomorphic embeddings and pseudo-conformally flat Kahler metrics] (with S. Ji and B. Lee), to appear in Journal of the Geometric Analysis]

·  [ Chern-Moser-Weyl tensor and a CR transversality problem] (with Y. Zhang), Jour of Geometric Analysis 23, pp 1780-1793, 2013]

·  [The mixed boundary problem for the dbar-equation on a lunar domain] (with X. Li)

·  [On the third gap for proper maps between balls (with S. Ji and W. Yin), Math Ann, to appear]

·  [On a theorem of Calabi (with X. Li), Ill. Jour. of Math.]

·  [ A Bishop surface with a vanishing Bishop invariant (with Yin), Invent. Math., 2009]

·  [On a linearity property for holomorphic maps between balls in complex spaces of different dimensions, Jour Diff Geom. 51, 1999]

·  [Super-rigidity for holomorphic maps between hyperquadrics with positive signatures (with S. Baouendi), Jour. of Diff. Geom., 2005]

·  [On a CR family of strongly pseudoconvex CR manifolds (with S. Luk and S. Yau), Jour of Diff. Geom., 2006]

·  [On an n-manifold in the complex n-space near an elliptic complex tangent, Jour. of Amer. Math. Soc. Vol 11, 1998]

·  [On a problem of Moser, Duke Math Jour (78), 1995. (with Krantz)]

·  [On the mapping problem for algebraic real hypersurfaces in complex spaces of different dimensions, Ann de Inst. Fourier, 1994]

·  [Schwarz reflection principle in the complex spaces of dimension two, Comm in PDE Vol (21),1996]

·  [Mapping an n-ball into an (2n-1)-ball, Invent. Math 142 (2), 219-250, 2001.(with Ji)]

·  [ The equivalence problem and rigidity for hypersurfaces embedded into hyperquadrics, (with P. Ebenfelt and D. Zaitsev), American Jour of Math., 2005]

·  [Super-rigidity for CR embeddings of real hypersurfaces into hyperquadrics (with S. Baounedi and P. Enbenfelt), Advances in Math., 2008]

·  [Global holomorphic extension of a local map and a Riemann mapping theorem for algebraic domains (with Ji), Math Res. Lett. 5, 1998] ]

·  [ A new gap phenomenon for proper holomorphic maps from Bn into BN (with S. Ji and D. Xu), Math. Res. Lett, 2006 ]

·  [ A codimensional two CR singular submanifold that is formally equivalent to a symmetric quadric (with Yin), IMRN, 2009]

·  [On the isolated complex singularities and their CR links, Scineces in China, 2006]

·  [ Monotonicity for the Chern-Moser-Weyl curvature tensor and CR mappings, Sci in China Math, 2009]

·  [On a semi-linearity property for holomorphic maps between balls, Asian Jour. of Math. ( A special issue in honor of Professor Y-T Siu's 60th birthday), 2003]

·  [ On several properties for holomorphic maps from B^n into B^N'' (with S. Ji and D. Xu), Contemparory Math., a special issue in honor of F. Treves, 2005 ]

·  [ On some rigidity problems in Cauchy-Riemann analysis\ (with S. Ji), AMS/IP Studies in Advanced Math., 2007]

·  [Cartan-Chern-Moser theory for real algebraic hypersurfaces and applications, Ann de Inst. Fourier, 2002]

·  [Rigidity of CR-immersions into spheres (with P. Ebenfelt and D. Zaitsev), Comm. in Analysis and Goemetry, 2004.]

·  [Lectures on the Local Equivalence Problems for Real Submanifolds in Complex Manifolds", in C.I.M.E lecture notes series, Springer-Verlag, 2004]

·  [Every real ellipsoid in C^2 admits CR umbilical points (with S. Ji), Trans. Amer. Math. Soc., 2007]

·  [Recent Progress on Two Problems in Several Complex Variables(with S. Ji and W. Yin), Proceeding of ICCM, pp 563-575, 2007, High Education Press, Beijing China]

·  [An example of a real analytic strongly pseudoconvex hpersurface which is not holomorphically equivalent to algebraic hypersurfaces (with S. Ji and S. Yau), Arkiv for math, 2001]

·  [Geometric Analysis in Several Complex Variables, Ph. D. Thesis, 1994]

Some relevant links:

·  Complex Analysis and PDE Seminar

·  Departmental Colloquia

·  Math 151 H---Honor's Calculus I

·  Math 504---Function Theory of One Complex Variable  

·  Home Address of MSRI, Berkely, California

·  Home Address of IAS, Princeton, New Jersey

·  Some Ph D programs at US Universities

·  The Internet Search Engine: Yahoo

·  Serra Nigra, Brazil, Aug. 3, 2001

·  Univ. of Calif. at Irvine, Nov. 10, 2001

·  Siu-Yeung-Zhou-Huang at Lake Louise, Canada, Septemer 5, 2005