WELCOME TO XIAOJUN HUANG's HOME PAGE
Professor
Research Fields: Several Complex Variables, Complex Geometry and Partial Differential Equations
office : Hill Center 712, Busch Campus
office hours : Tuesday and Thursday from 3:30-5:00pm.
E-Mail:
(huangx@math.rutgers.edu).
Regular
Mailing address:
Xiaojun Huang,
Department of Mathematics,
Hill Center-Busch Campus,
Rutgers University,
110 Frelinghuysen Road, Piscataway, NJ 08854-8019, USA
Phone numbers: 732-445-2390(o);
Fax number: (732)445-5340
The following are the PDF-files of some publications:
[The pdf file of
my brief Curriculum Vitae]
[The pdf file of
my more detailed Curriculum Vitae]
[Description of Some of my Recent Work]
[1. A Bishop surface with a vanishing Bishop
invariant (with Yin), Invent. Math., 2009]
[2. Equivalence Problem for Bishop surfaces (with Yin), Sci. in China Math, 2010]
[3. A codimensional two CR singular
submanifold that is formally equivalent to a symmetric quadric (with Yin), IMRN, 2009]
[5. 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
]
[6. A new gap phenomenon for proper holomorphic maps from Bn into BN
(with S. Ji and D. Xu), Math. Res. Lett, 2006
]
[7.On the isolated complex singularities and their CR links, Scineces in China, 2006]
[8. The equivalence problem and rigidity for
hypersurfaces embedded into hyperquadrics,
(with P. Ebenfelt and D. Zaitsev),
American Jour of Math., 2005]
[9.Super-rigidity for holomorphic maps between
hyperquadrics with positive signatures (with S. Baouendi), Jour of Diff. Geom., 2005]
[10. Super-rigidity for CR embeddings of real
hypersurfaces into hyperquadrics (with S. Baounedi and P. Enbenfelt),
Advances in Math., 2008]
[11. Holomorphic maps between hyperquadrics with small difference in signature
(with S. Baounedi and P. Enbenfelt), American Journal Math, 2011]
[12. On a CR family of strongly pseudoconvex CR manifolds (with S. Luk and
S. Yau), Jour of Diff. Geom., 2006]
[13. Monotonicity for the Chern-Moser-Weyl curvature tensor and CR mappings, Sci in China Math, 2009]
[14. On some rigidity problems in Cauchy-Riemann
analysis\
(with S. Ji), AMS/IP Studies in Advanced Math., 2007]
[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 a linearity property for holomorphic maps between balls in complex spaces of different dimensions, Jour Diff Geom. 51, 1999]
[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 the mapping problem for algebraic real hypersurfaces in complex spaces of different dimensions, Ann de Inst. Fourier, 1994]
[Mapping an n-ball into an (2n-1)-ball,
Invent. Math 142 (2), 219-250, 2001.(with Ji)]
[Global holomorphic extension of a local map and a Riemann mapping theorem for algebraic domains (with Ji), Math Res. Lett. 5, 1998]
]
[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]
[Schwarz reflection principle in the complex spaces of dimension two, Comm in PDE Vol (21),1996]
[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
James--Annie---Jenny in 2001
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