Curriculum Vitae

Daniel(Zhuang-dan) Guan

Educational History

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

Professional History

2019-present Professor, Henan University, 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.

Interests

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

Advisors

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

Recent Publications (see also my bibliography)

[1] Classification of Compact Complex Homogeneous Spaces with Pseudo-K\"ahler Structure, Journal of Algebra 324(2010), 2010--2024.

[2] Type I Compact Almost Homogeneous Manifolds of Cohomogeneity One---I, Pacific J. of Applied Math. 3(2010), issue 1-2, to appear.

[3] Toward a Classification of Symplectic Nilmanifolds, Intern. Math. Research Notices 2010(2010), 4377--4384.

[4] Type I Compact Almost Homogeneous Manifolds of Cohomogeneity One---II, Pacific J. of Applied Math. 3(2010), issue 3, to appear.

[5] Affine Compact Almost-Homogeneous Manifolds of Cohomogeneity One, Central European J. Math., vol 7 (2009), 84-123.

[6] Modification and the Cohomology Groups of Compact Solvmanifolds, ERA-AMS 13(2007), 74--81.

[7] Extremal-solitons and Exponential C^{\infty} Convergence of Modified Calabi Flow on Certain CP^1 Bundles, Pacific J. Math. vol. 233 (2007), 91-124.

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

[9] Toward a Classification of Compact Complex Homogeneous Manifolds, J. of Algebra. vol. 273 (2004), 33-59.

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

Jan. 25, 2010