Publications:

(before 1997) | (talks)| (non-research articles)
  1. Thesis, The Courant Institute, NYU, 1997;
  2. A Note on Special Kahler Manifolds, Math. Ann., vol 313 1999, pp 711-713; math.DG/0505577
  3. On the Futaki Invariants of Complete Intersections, Duke J. Math, vol 100(2), 1999, pp 359-372; math.DG/0505578
  4. On the Geometry of Classifying Spaces and Horizontal Slices, Amer. J. Math, vol 121, 1999, pp 177-198; math.DG/0505579
  5. A Note on the Analytic Families of Compact Submanifolds of Complex Manifolds, Proc. AMS, vol 128(3), 2000, pp 767-774; math.DG/0505580
  6. On the Lower Order Terms of the Asymptotic Expansion of Tian-Yau-Zelditch, Amer. J. Math, vol 122(2), 2000, pp 235-273; math.DG/9811126
  7. On the Lower Bound Estimates of Sections of the Canonical Bundle over a Riemann Surface, Inter. J. Math, vol 12(8), 2001, pp 235-273; math.DG/9911033
  8. On the Curvature Tensor of the Hodge Metric of Moduli Space of Polarized Calabi-Yau Threefolds, J. Geom. Anal., vol 11(4), 2001, pp 635-647; math.DG/0505583
  9. On the Hodge Metric of the Universal Deformation Space of Calabi-Yau Threefolds, J. Geom. Anal., vol 11(1), 2001, pp 103-118; math.DG/0505582
  10. Gradient Estimates of the Yukawa coupling, Special Geometric Structures in String Theory,
    Bonn, 8th-11th September, 2001;     math.DG/0505584
  11. On the Rigidity of Horizontal Slices, Port. Math. (N.S.), vol 59(4), 2002, pp 409-433; math/0505585
  12. A note on the holomorphic invariants of Tian-Zhu, Port. Math. (N.S.), vol 60(3), 2003, pp 263-268; math/0505586
  13. K Energy and K stability on Hypersurfaces, Comm. in Anal. and Geom., vol 12(3), 2004, pp 599-628;strong> math/0108009
  14. (with X. Sun) Weil-Petersson geometry on moduli space of polarized Calabi-Yau manifolds, J. Inst. Math. Jussieu, vol 3(2), 2004, pp 185-229; math/0510020
  15. (with H. Fang) Generalized Hodge metrics and BCOV torsion on Calabi-Yau moduli, J. Reine Angew. Math., vol 588, 2005, 49-69; math/0310007
  16. (with G. Tian) The log term of Szego kernel, Duke J. Math, vol 125(2), 2004, pp 351-387; math/0505587
  17. (with X. Sun) On the Weil-Petersson volume of the moduli space of Calabi-Yau manifolds, Comm. Math. Phys., vol 261, 2006, 297-322; math/0510021
  18. (with H. Fang and K. Yoshikawa) Asymptotic behavior of the BCOV torsion of Calabi-Yau moduli, to appear at JDG; math/0601411
  19. (with C. Lin) Existence of Bound Stated for Layers Built over Hypersurfaces in Euclidean Space, J. Funct. Anal., vol 244(1), 2007, 1-25 ; math/0402252
  20. (with C. Lin) On the discrete spectrum of generalized quantum tubes, Comm. PDE, vol 31, 2006, 1529-1546; math/0601201
  21. (with M. Douglas) Finiteness of volume of moduli spaces; hep-th/0509224
  22. (with C. Lin) Discrete Spectrum of Quantum Tubes, in Proceedings of the 2005 Hayama Symposium in Several complex Variables; math/0601280
  23. (with M. Douglas) On the Geometry of Moduli Space of Polarized Calabi-Yau Manifolds, in Analytic Geometry of the Bergman Kernel and Related Topics, RIMS Kokyuroku 1487, May 2006, pp 55-68; math.DG/0603414
  24. (with T. Choi) On the DDVV Conjecture and the comass in Calibrated Geometry (I), Math Z., vol 260, (2008), 409-429; math/0610709
  25. (with C. Lin) Quantum layers over surfaces ruled outside a compact set, J. Math. Phys., vol 48, 053522 (2007); math/0701349
  26. Recent developments of the DDVV Conjecture, Bulletin of the Transilvania Univerdsity of Brasov, vol. 14 (49), series B, supplement, page 133-144; arXiv: 0708.3201 v1;
  27. On the moduli space of Calabi-Yau manifolds, The 4th ICCM, Hangzhou, 2007;
  28. Normal scalar curvature conjecture and its applications, preprint;
  29. On the ground state of quantum layers, preprint; arXiv: 0708.1563 v1;