正妹av

姓   名：关庄丹

职   称：教 授

办公室：F206

邮   箱： [email protected]

网站主页：

研究方向：复几何和微分几何，齐性空间

教育背景：

1990.09-1993.06， 博士， 加州大学伯克来分校， 基础数学专业

1983.09-1986.06， 硕士， 中国科学院数学所， 基础数学专业

1978.10-1982.06， 学士， 厦门大学， 基础数学专业

工作经历：

2019.01至今， 河南大学， 教授

2018.09-2018.12 河南大学， 访问教授

2004.07-2018.11，加州大学， 副教授

2000.07-2004.07, 加州大学， 助理教授

1993.07-2000.06，普林斯顿大学， 助理教授及副教授

代表性论文：

• 1. 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.

• Math. Res. Letters vol 8 (2001), 663--669.

• , Chin. Quart. J. Math. 38 (2023), 254--275. MR 4770654

• , 20 pages, accepted and to appear in Acta Mathematica Scientia 2025

• , Acta Mathematica Scientia 43B(2023), p. 363---372. MR 4498386

• , Chinese Quart. J. of Math. 35(2020), p. 111--144. See also and MR 4756779

  论文：

  , in preprint 2024, 47 pages and submitted

• , in preprint 2024, 15 pages, accepted and to appear in Axioms

• , in preprint 2023, 12 pages and submitted

• , 10 pages, in preprint 2023 and submitted

• , Chin. Quart. J. Math. 38 (2023), 254--275. MR 4770654

• , Chin. Quart. J. Math. 39 (2024), 200--220.

• , in preparation

• , 20 pages, accepted and to appear in Acta Mathematica Scientia 2025

• , 16 pages, accepted and to appear in Acta Mathematica Sinica

• , Acta. Math. Scientia, vol. 44B (2024), pp.78--102.

• , Acta Mathematica Scientia 43B(2023), p. 363---372. MR 4498386

• , Results in Math. 77(2022), Article 139.

• , Chinese Quart. J. of Math. 35(2020), p. 111--144. See also and MR 4756779

• , Intern. J. Math. 30(2019), No. 13, Article 1940002. IJM10

• , Pacific J. of Math. 305(2020), p. 641--644.

• Axioms 8(2019), no. 1, art. 2.

• Mathematics 6(2018), no. 2, art. 21.

• , Mathematics 12(2024), no. 11, art. 1710.

• Journal of Mathematics and Statistics 13(2017), no. 3. p. 261--267.

• , in preprint 2015; 13 pages.

• Intern. J. Math. 26 (2015), no. 4. IJM9

• Intern. J. Math. 27 (2016), no. 10. IJM8

• Modification and the Cohomology Groups of Compact Solvmanifolds II, in preprint and submitted 2013

• , in preparation 2013

• m-extremal metrics and m-Calabi flows, in preparation 2012.

• , Pacific Journal of Mathematics 288 (2017), 343--353.

• Advancement and Development in Mathematical Science, vol 1 (2012), issue 2, 13--32.

• , Journal of Algebra 379 (2013), 144--155.

• , , J. of Algebra, vol 347 (2011), 69--82.

• International Mathematical Research Notices, vol 2010 (2010), 4377--4384

• 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.

• , Jour. of Algebra, vol 324 (2010), 2010--2024;

• Comptes Rendus Math\'ematiques de l'Acad. Sci. Canada, vol 31 (2009), no. 1. 20--23.

• ERA-AMS 13 (2007), 74--81; see also

• A Complete Classification of Compact Almost Homogeneous K\"ahler Manifolds of Cohomogeneity One with a Higher Codimensional End, in preparation.

• Pacific J. of Appl. Math., vol 3 (2011), 43--72

• Pacific J. of Appl. Math., vol 3 (2011), 179--202

• Pacific J. of Mathematics, vol. 261 (2013), 369--388;

• Pacific J. of Mathematics, vol. 253 (2011), 383--422;

• Geometry, 2014 (2014), .

• Jacobi Fields and the Geodesic Stability, in preparation.

• Book cooperated with S. Kobayashi: Compact Complex Manifolds and K\"ahler Geometry, in process.

• Testing the Geodesic Stability on Toric Bundles, in preparation.

• Pacific J. Math. vol. 233 (2007), 91-124;

• , Ann. Glob. Anal. Geom. 30(2006), 139--167.

• An Inequality of Rozansky-Witten Invariants, in preparation.

• Central European Journal of Mathematics, vol 1 (2003), 661--669. See also

• Math. Res. Letters vol 8 (2001), 663--669.

• Math. Research Letters vol 6 (1999), 547--555.

• Quasi-Einstein Metrics and Evolution of Metrics in a K\"ahler Class, a preprint will come out soon.

• Asian J. Math. vol 4 (2000), 817--830..

• Journal of Geometric Analysis, vol 12 (2002), 63--79.

• International Journal of Mathematics, vol 14 (2003), 259--287. IJM7

• Journal of Algebra vol. 273 (2004), 33--59;

• in preparation.

• Transactions of AMS. 357 (2005), 3359-3373.

• a preprint will come out soon.

• Transactions of AMS. 354(2002) 4493-4504. 42' Announcement appeared in ERA-AMS vol 3 (1997), 90-92.

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

• 44. Toward a Classification of Almost Homogeneous Manifolds II---Bad Models, International J. Math., vol 10 (1999), 571--586. IJM6

• International J. Math., vol 11 (2000), 799--809. IJM5

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

• 47. 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.

• 48. Examples of Holomorphic Symplectic Manifolds which admit no K\"ahler Structure III, International J. of Math. vol. 6(1995), 709-718. MR 97i:32034. IJM4

• 49. 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.

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

• 51. Quasi-Einstein Metrics, International J. of Math., vol. 6(1995), 371-379. MR 96e:53060. IJM3

• 52. Stablity of Hermitian Vector Bundles, a Quantitative Point of View, Intern'l J. Math. 3 (1992), 477-481. MR 93k:32067. IJM2

• 53. Toward a Classification of Almost Homogeneous Manifolds I---Linearization of the Singular Extremal Rays. International J. of Math., vol 8(1997), 999-1014. IJM1

• 54. (with Dorfmeister) Fine Structures of Reductive Pseudo-K\"ahlerian Spaces, Geometrica Dedicata 39 (1991), 321-338. MR 92h:53081. 54' Supplement in Geom. Dedi. 42 (1992), 241-242.

• Math. Zeitschrift 209 (1992), 89-100. MR 92k:32058.

• 56. (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).

• 57. (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).

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

科研项目：

1. 项目名称（编号），美国国家科学基金项目，2001/07-2005/08，已结题，主持；

2. 项目名称:一些特殊的复几何结构理论及多复变函数论,编号:12171140，国家自然科学基金面上项目，2022/01-2025/12，51万元，主持。

3. 项目名称（编号），美国国家科学基金项目，1994/07-1997/08，已结题，副主持；

4. 项目名称（编号），美国国家科学基金项目（NSF Fellowship)，1996/07-1999/12， 已结题， 主持；

主讲课程：

24年秋：黎曼几何；23年秋：黎曼曲面；22年秋：流形上的分析；22年春：复几何；21年秋：代数几何

学术交流：

1. 2021年08月受邀在全国多复变大会做关于广义Maxwell-Einstein度量的报告；

2. 2021年07月受邀在厦门大学做关于实六维球面上复结构的报告；等等

荣誉与奖励:

1996年 获NSF Fellowship奖项

1989年 获优秀博士生Fellowship奖

Name：Guan, Zhuang-dan Daniel

Title：Prof. Dr.

Office：F206

Email： [email protected]

Research Field：Complex Geometry, Differential Geometry and Homogeneous Spaces

Education：

1990.09-1993.06, Ph.D.， University of California at Berkeley

1983.09-1986.06, Master of Science, Institute of Mathematics, Academic Sininca, Beijing, China

1978.10-1982.06, Bachelor of Science, Xiamen University, Xiamen, China

Position：

2019.01-， Henan University，Professor

2004.07-2018.11, University of California at Riverside, Associate professor

2018.09-2018.12, Henan University, Visiting Professor

1993.09-2004.07, Princeton University and University of California at Riverside, Assistant professor

Selected publications：

[1]D. Guan, Examples of compact holomorphic symplectic manifolds which are not

Kählerian II, Invent Math. 121 (1995), 135-145.

[2]D. Guan, On the Betti Numbers of Irreducible Compact Hyperkähler Manifolds of Complex Dimension Four, Mathematical Research Letters 8 (2001), 663-669.

Research Funding：

1. D. Guan，National Natural Science Foundation of USA(XXX)，2001.07-2005.08, PI

2. D. Guan, National Natural Science Foundation of China

3. D. Guan，National Natural Science Foundation of USA(XXX)，1994.07-1997.08, CPI(PI: Hsiang, W. C.).

4. D. Guan，National Natural Science Foundation of USA(XXX, NSF Fellow)，1996.07-1999.12, PI.

Teaching：

Algebraic Geometry, Fall 2021；Riemanian Geometry, Fall 2024; Complex Geometry, Spring 2022; etc.

Talks：

1. 2021.07, Xiamen University；

2. National Several Complex Variable Conference 2023; etc.

Honor and awards

Excellent Fellowship, NSF Fellowship