- Ph. D. University of California, Berkeley, 1993
- M. S. Institute of Mathematics, Academia Sinica, Beijing, China, 1986
- B. S. Xiamen University - Fujian, China, 1982

- 2019-present Professor, Henan University, Kaifeng, China
- 2019-present Emeritus Professor.
- 2004-2018 Associate Professor.
- 2000-2004 Assistant Professor. University of California at Riverside
- 1996-2000 Assistant Professor, Mathematics Department, Princeton University
- 1996-1999 National Science Foundation Fellow, Courant Institute NYU.
- 1993-1996 Instructor, Mathematics Department, Princeton University
- 1986-1987 Theoretical Mathematics Researcher, also served as a member of the Lecturer Legions of Central Government of China, Institute of Mathematics, Academia Sinica, Beijing, China
- 1982-1983 Computational Method Researcher, High School Mathematics and Mathematics Competition Teacher, Institute 504, 5th Engineering Department of P.R.C.

53C55 K\"ahler-Einstein, Extremal and Quasi-Einstein
(Generalized Ricci Soliton)
Metrics; Moduli Space of K\"ahler Metrics, Geodesic Stability

32M10 Homogeneous Spaces, Almost Homogeneous Manifolds, Classification of Compact Real Solvmanifolds with
Real Symplectic Structures

53C25 Holomorphic Symplectic Manifolds, Hyperk\"ahler
Manifolds, Rozansky-Witten Invariants

53C07 Stability, Vector Bundles

58G99 ODE, Homogeneous Monge-Amp\`ere Equations, Metrics Flow

14J15 Mori's Program, Algebraic Geometry

- Ph. D. Advisor: S. Kobayashi, UCBerkeley, Genealogy Link: C. Allendoerfer, T. Y. Thomas, O. Veblen, E. H. Moore, H. A. Newton, M. Casles, S. D. Poisson, J. V. Lagrange, L. V. Euler, Johann Bernoulli, Jacob Bernoulli
- MSPR(NSF) Fellow Advisor: F. Bogomolov, Courant Institute
- Master advisor: Jia-Qing Zhong, Institute of Mathematics, Academia Sinica, Beijing
- Homogeneous Spaces Advisor: J. Dorfmeister, University of Georgia USA

[51] On Some Recent Progress in Complex Geometry---the Area Related to Homogeneous Manifolds, Chinese Quart. J. of Math. 35(2020), p. 111--144. doi: 10.13371/j.cnki.chin.q.j.m.2020.02.001. See also 1 and 2

[50] Type II Compact Almost Homogeneous Manifolds of Cohomogeneity One---II, Intern. J. Math. 30(2019), No. 13, Article 1940002. doi: 10.1142/S129167X19400020.

[49] Nonexistence of S^6 type Threefolds, Pacific J. of Math. 305(2020), p. 641--644.doi: 10.2140/pjm.2020.305.641

[48] Type I Compact Almost Homogeneos Manifolds of Cohomogeneity One---IV Axioms 8(2019), no. 1, art. 2.

[47] A New Proof of A Conjecture on Nonpositive Ricci Curved K\"ahler-Einstein Surfaces Mathematics 6(2018), no. 2, art. 21. doi: 10.3390/math6020021.

[46] A Note on the Classification of Compact Complex Homogeneous Locally Conformal K\"ahler Manifolds Journal of Mathematics and Statistics 13(2017), no. 3. p. 261--267.

[45] (with P. Cernea) Killing Fields Generated by Multiple Solutions to the Fischer-Marsden Equation Intern. J. Math. 26 (2015), no. 4. doi: 10.1142/S0129167X15400066.

[44] (with P. Cernea) Killing Fields Generated by Multiple Solutions to the Fischer-Marsden Equation II Intern. J. Math. 27 (2016), no. 10. doi: 10.1142/S0129167X16500804.

[43] On Bisectional Negatively Curved Compact K\"ahler-Einstein Surfaces, Pacific Journal of Mathematics 288 (2017), 343--353.

[42] Positive Lemma, Generalized Extremal-solitons and Second Order Linear Differential Equations, Advancement and Development in Mathematical Science, vol 1 (2012), issue 2, 13--32.

[41] Toward a classification of compact real solvmanifolds with real symplectic structures, Journal of Algebra 379 (2013), 144--155. doi: 10.1016/j.algebra.2013.01.011.

[40] On Classification of Compact Complex Solvmanifolds, doi: 10.1016/j.jalgebra.2011.08.026, J. of Algebra, vol 347 (2011), 69--82.

[39] Toward a Classification of Symplectic Nilmanifolds, International Mathematical Research Notices, vol 2010 (2010), 4377--4384 2010:doi:10.1093/imrn/rnq049.

[38] Affine Compact Almost-Homogeneous Manifolds of Cohomogeneity One Central European Journal of Mathematics, vol 7 (2009), 84--123. Note: Theorem 10.2 is true when the manifold is Fano, cohomogeneity one and has a semisimple automorphism group.

[37] Classification of Compact Complex Homogeneous Manifolds with Pseudo-k\"ahlerian Structures, Jour. of Algebra, vol 324 (2010), 2010--2024; doi:10.1016/j.jalgebra.2010.06.013

[36] Classification of Compact Homogeneous Manifolds with Pseudo-k\"ahlerian Structures (Announcement) Comptes Rendus Math\'ematiques de l'Acad. Sci. Canada, vol 31 (2009), no. 1. 20--23.

[35] Modification and the Cohomology Groups of Compact Solvmanifolds, ERA-AMS 13 (2007), 74--81; see also Comments

[34] Type I Compact Almost Homogeneous Manifolds of Cohomogeneity One---I, Pacific J. of Appl. Math., vol 3 (2011), 43--72(Original proof Jan. 20, 2011).

[33] Type I Compact Almost Homogeneous Manifolds of Cohomogeneity One---II, Pacific J. of Appl. Math., vol 3 (2011), 179--202(Original proof Jan. 21, 2011).

[32] Type I Compact Almost Homogeneous Manifolds of Cohomogeneity One---III, Pacific J. of Mathematics, vol. 261 (2013), 369--388; doi:10.2140/pjm.2013.261.369.

[31] Type II Compact Almost Homogeneous Manifolds of Cohomogeneity One, Pacific J. of Mathematics, vol. 253 (2011), 383--422; doi:10.2140/pjm.2011.253.383.

[30] Moser Vector Fields and Geometry of the Mabuchi Moduli Space of K\"ahler Metrics, Geometry, 2014 (2014), article 968064.

[29] Extremal-Solitons and Exponential C^{\infty} Convergence of Modified Calabi Flow on Certain CP^1 bundles, Pacific J. Math. vol. 233 (2007), 91-124; doi:10.2140/pjm.2007.233.91.

[28] Existence of Extremal Metrics on Almost Homogeneous Manifolds of Cohomogeneity One---IV, Ann. Glob. Anal. Geom. 30(2006), 139--167.

[27] On Representation Theory and the Cohomology Rings of Irreducible Compact Hyperk\"ahler Manifolds of Complex Dimension Four, Central European Journal of Mathematics, vol 1 (2003), 661--669. See also original tex file

[26] On the Betti Numbers of Irreducible Compact Hyperk\"ahler Manifolds of Complex Dimension Four, Math. Res. Letters vol 8 (2001), 663--669.

[25] On Modified Mabuchi Functional and Mabuchi Moduli Spaces of K\"ahler Metrics on Toric Bundles. Math. Research Letters vol 6 (1999), 547--555.

[24] (with X. Chen) Existence of Extremal Metrics on Almost Homogeneous Manifolds of Cohomogeneity One, Asian J. Math. vol 4 (2000), 817--830..

[23] Existence of Extremal Metrics on Almost Homogeneous Manifolds of Cohomogeneity One---II, Journal of Geometric Analysis, vol 12 (2002), 63--79. The final version before publication

[22] Existence of Extremal Metrics on Almost Homogeneous Manifolds of Cohomogeneity One---III, International Journal of Mathematics, vol 14 (2003), 259--287. The final version before publication Note written on Feb. 14, 2007: The original paper was cut by the referees and the editors. Therefore, some information in the paper was missing. Here I found a pdf copy of an original source which was modified after receiving two preprints from Andrew Spiro and further discussions. It is apparently that the completion of the normal bundle of the exceptional divisor in section 6 is different from the projective normal bundle and our degeneration (if it actually exists) is a little different from that in the recent paper of J. Ross and R. P. Thomas (JDG 72 (2006), 429--466). Our condition is stronger than theirs.

[21] Toward a Classification of Compact Complex Homogeneous Manifolds, Journal of Algebra vol. 273 (2004), 33--59; doi:10.1016/j.jalgebra.2003.11.007.

[20] On Compact Symplectic Manifolds with Lie Group Symmetries, Transactions of AMS. 357 (2005), 3359-3373.

[19] Classification of Compact Complex Homogeneous Spaces with Invariant Volumes, Transactions of AMS. 354(2002) 4493-4504.

[18] Classification of Compact Complex Homogeneous Spaces with Invariant Volume, ERA-AMS vol 3 (1997), 90-92.

[17] Classification of Compact Homogeneous Spaces with Invariant Symplectic Structures, ERA-AMS vol 3 (1997), 52-54.

[16] Toward a Classification of Almost Homogeneous Manifolds II---Bad Models, International J. Math., vol 10 (1999), 571--586.

[15] Toward a Classification of Almost Homogeneous Manifolds III---SL(2)xC* Actions, International J. Math., vol 11 (2000), 799--809.

[14] A Splitting Theorem for Compact Complex Homogeneous Space with a Symplectic Structure, Geometrica Dedicata vol. 63(1996), 217-225. MR 98a:53105.

[13] Examples of Holomorphic Symplectic Manifolds which admit no K\"ahler Structure II, Invent. Math. vol. 121(1995), 135-145. (see also F. Bogomolov: On Guan's Examples of Simply Connected Non-K\"ahler Compact Complex Manifolds, Amer. J. Math. 118(1996), 1037-1046). MR 97i:32033.

[12] Examples of Holomorphic Symplectic Manifolds which admit no K\"ahler Structure III, International J. of Math. vol. 6(1995), 709-718. MR 97i:32034.

[11] Examples of Compact Holomorphic Symplectic Manifolds Which Are Not K\"ahlerian, (In Geometry and Analysis on Complex Manifolds---Festschift for Professor S. Kobayashi's 60-th birthday, World Scientific Publishing Co. 1994), 63-74.

[10] Existence of Extremal Metrics on Almost Homogeneous Spaces with Two Ends. Transaction of AMS, vol. 347(1995), 2255-2262.

[9] Quasi-Einstein Metrics, International J. of Math., vol. 6(1995), 371-379. MR 96e:53060.

[8] Stablity of Hermitian Vector Bundles, a Quantitative Point of View, Intern'l J. Math. 3 (1992), 477-481. MR 93k:32067.

[7] Toward a Classification of Almost Homogeneous Manifolds I---Linearization of the Singular Extremal Rays. International J. of Math., vol 8(1997), 999-1014.

[6] (with Dorfmeister) Fine Structures of Reductive Pseudo-K\"ahlerian Spaces, Geometrica Dedicata 39 (1991), 321-338. MR 92h:53081.

[5] (with Dorfmeister) Supplement to 'Fine Structure of Reductive Pseudo-K\"ahlerian Spaces', Geom. Dedi. 42 (1992), 241-242.

[4] (with Dorfmeister) Pseudo-K\"ahlerian Homogeneous Spaces Admitting a Reductive Transitive Group of Automorphisms, Math. Zeitschrift 209 (1992), 89-100. MR 92k:32058.

[3] (with Dorfmeister) Classification of Compact Homogeneous Pseudo-K\"ahler Manifolds, Comm. Math. Helv. 67 (1992), 499-513. MR 93i:32042.(see also Huckleberry A. L.: Homogeneous Pseudo-K\"ahlerian Manifolds: A Hamiltonian Viewpoint, Note di Matematica 10(1990) suppl. 2. 337-342. MR 94f:53052).

[2] (with Y. Hong and H. C. Yang) A Remark on K\"ahler-Einstein Manifolds, Acta Math. Sinica 31 (1988), 595--602. MR 0983430 (90c:53171).

[1] Curvature on the Hermitian Symmetric Spaces. Acta Math. Sinica. New Series 4 (1988), 270-283.

Dec. 05, 2019