Shanyu Ji

(O) 713-743-3454, shanyuji@math.uh.edu

651D PGH

Professor of Mathematics

Director of Graduate Studies

• Ph.D.,1988, Mathematics, The Johns Hopkins University
• M.S., 1986, Mathematics, The Johns Hopkins University
• B.A.,1982, Mathematics, East China Normal University

Campus of University of Houston, 1989

Office hours

Telephone number: (713) 743-3454

e-mail : shanyuji@math.uh.edu

Internet Resources

• Publications

• Math 1432, Calculus II (2008(summer), Six Week - Second).

• Several complex variables
• Differential geometry and complex differential geometry

• X. Huang and S. Ji, Every real ellipsoid in C² must admit CR umbilic points , Trans. Amer. Math. Soc. 359 (2007), 1191-1204.
• X. Huang, and S. Ji, On some rigidity problems in Cauchy-Riemann Geometry, AMS/IP Studies in Advanced Mathematics, Volume 39, 2007, 89-107.
• X. Huang, S. Ji and D. Xu, A new gap phenomenon for proper holomorphic mappings from Bⁿ into B^N, Math. Research Letter, 13(2006), no. 4, 515-529.
• Z. Chen, S. Ji and D. Xu, Rational proper holomorphic mappings from Bⁿ into B^N with degree 2 , Science in China: Series A Mathematics 2006 Vol. 49 No. 11, 1504-1522.
• X. Huang, S. Ji and D. Xu, Several Results for Holomorphic Mappings from Bⁿ into B^N, Geometric analysis of PDE and several complex variables, 267--292, Contemp. Math., 368, Amer. Math. Soc., Providence, RI, 2005.
• S. Ji and D. Xu, Maps between Bⁿ and B^N with Geometric Rank k₀ \le n-2 and Minimum N, Asian J. Math, Vol.8, No.2(2004), 233-258.
• S. Ji, Algebraicity of real hypersurfaces with the maximal rank, Amer. J. Math. 124 (2002), no. 6, 1083--1102.
• S. Ji, Algebraicity of real hypersurfaces and blowing-down, J. of Geome. Ana., 12(2002), 255-264.
• X. Huang and S. Ji, Cartan-Chern-Moser theory on algebraic hypersurfaces and some applications, Ann. Inst. Fourier (Grenoble) 52 (2002), no. 6, 1793--1831.
• X. Huang and S. Ji, Mapping Bⁿ into B^2n-1, Invent Math, 145(2001), 219-250.
• X. Huang, S. Ji and S.S.T. Yau, An example of real analytic strongly pseudoconvex hypersurface which is not holomorphically equivalent to any algerbaic hypersurfaces, Ark. Mat. 39(2001), 75-93.
• X. Huang and S. Ji, Global holomorphic extension of a local map and a Riemann mapping theorem for algebraic domains, Math. Research Letter, 5(1998), 247-260.
• S.-S. Chern and S. Ji, On the Riemann mapping theorem, Annl. of Math., 144(1996), 421-439.
• S. Ji, Bezout estimate for entire holomorphic maps and their Jacobians, American J. of Math., 117(1995), 395-403.
• S. Ji and B. Shiffman, Properties of compact complex manifolds carrying closed positive currents, J. of Geom. Analysis, vol. 3, 1(1993),
• S. Ji, Image of Analytic hypersurfaces II, Math. Ann. 297(1993), 693-706.
• S. Ji, J. Kollar and B. Shiffman, A global Lojasiewicz inequality Transaction of AMS., Vol. 329(1992), 813-818.
• S. Ji, Inequality of distortion function for invertible sheaves on abelian varieties, Duke Math. J., 3(1989), 657-667.
• S. Ji, Uniqueness problem without multiplicities in value distribution theory, Pacific J. of Math., Vol.135, 2(1988), 323-348.