陈秀雄 Xiuxiong Chen

浏览次数：10311

Career

2017.11至今上海科技大学数学科学研究所创始所长、Distinguished Adjunct Professor
2010至今美国纽约州立大学石溪分校教授
2005-2010 威斯康星大学麦迪逊分校教授
2002-2005 威斯康星大学麦迪逊分校副教授
1998-2002 普林斯顿大学助理教授
1996-1998 美国斯坦福大学博士后
1994-1996 加拿大麦克马斯特大学讲师

Education
1989-1994 美国宾西法尼亚大学数学专业，博士
1987-1989 中国科学院研究生院和中国科大研究生院（北京）数学系硕士
1982-1987 中国科学技术大学数学系本科

Research Interests
Differential geometry; complex differential geometry, partial differential equations.

Selected Publications

1. Xiuxiong Chen, Mikhail Feldman, Jingchen Hu. Geodesically Convexity of Small Neighborhood in Space of Kähler Potentials. arXiv:1805.02373.
2. Xiuxiong Chen, Weiyong He. A class of fully nonlinear equations. arXiv:1802.04985.
3. Chen, Xiuxiong; Cheng, Jingrui. On the constant scalar curvature Kähler metrics, general automorphism group. arXiv:1801.05907.
4. Chen, Xiuxiong; Cheng, Jingrui. On the constant scalar curvature Kähler metrics, existence results. arXiv:1801.00656.
5. Chen, Xiuxiong; Cheng, Jingrui. On the constant scalar curvature Kähler metrics, apriori estimates. arXiv:1712.06697.
6. Chen, Xiuxiong; Darvas, Tamás; He, Weiyong. Compactness of Kähler metrics with bounds on Ricci curvature and I functional. arXiv:1712.05095.
7. Chen, Xiuxiong; Wang, Bing. Remarks of weak-compactness along Kahler Ricci flow. arXiv:1605.01374
8. Chen, Xiuxiong; Chen Gao. Gravitational instantons with faster than quadratic curvature decay (III). arXiv:1603.08465.
9. Chen, Xiuxiong; Chen Gao. Gravitational instantons with faster than quadratic curvature decay (II). Journal für die reine und angewandte Mathematik (Crelles Journal), ISSN (Online) 1435-5345, ISSN (Print) 0075-4102.
10. Chen, Xiuxiong; Sun, Song; Wang, Bing. Kähler-Ricci flow, Kähler-Einstein metric, and K-stability. Geometry and Topology, Volume 22, Number 6 (2018), 3145-3173
11. Chen, Xiuxiong. On the existence of constant scalar curvature Kähler metric: a new perspective. Annales mathématiques du Québec, October 2018, Volume 42, Issue 2, pp 169–189
12. Chen, Xiuxiong; Păuni, Mihai; Zeng, Yu. On deformation of extremal metrics. arXiv:1506.01290.
13. Chen, Xiuxiong; Chen Gao. Gravitational instantons with faster than quadratic curvature decay (I). arXiv:1505.01790.
14. Chen, Xiuxiong; Wang, Yuanqi. On the regularity problem of complex Monge-Ampere equations with conical singularities. Ann. Inst. Fourier (Grenoble) 67 (2017), no. 3, 969--1003.
15. Chen, Xiuxiong; Yuan, Fang. A note on Ricci flow with Ricci curvature bounded below. J. Reine Angew. Math. 726 (2017), 29--44.
16. Chen, Xiuxiong; Li, Long; Păuni, Mihai. Approximation of weak geodesics and subharmonicity of Mabuchi energy. Ann. Fac. Sci. Toulouse Math. (6) 25 (2016), no. 5, 935--957.
17. Chen, Xiuxiong; Huang, Hongnian; Sheng, Li. The interior regularity of the Calabi flow on a toric surface. Calc. Var. Partial Differential Equations 55 (2016), no. 4, Art. 106, 28 pp.
18. Chen, Xiuxiong; Wang, Yuanqi. C2,α-estimate for Monge-Ampère equations with Hölder-continuous right hand side. Ann. Global Anal. Geom. 49 (2016), no. 2, 195--204.
19. Chen, Xiuxiong; Wang, Yuanqi. Bessel functions, heat kernel and the conical Kähler-Ricci flow. J. Funct. Anal. 269 (2015), no. 2, 551--632.
20. Chen, Xiuxiong; Wang, Yuanqi. On four-dimensional anti-self-dual gradient Ricci solitons. J. Geom. Anal. 25 (2015), no. 2, 1335--1343.
21. Chen, Xiuxiong; Donaldson, Simon; Sun, Song. Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches 2π and completion of the main proof. J. Amer. Math. Soc. 28 (2015), no. 1, 235--278.
22. Chen, Xiuxiong; Donaldson, Simon; Sun, Song. Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than 2π. J. Amer. Math. Soc. 28 (2015), no. 1, 199--234.
23. Chen, Xiuxiong; Donaldson, Simon; Sun, Song. Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities. J. Amer. Math. Soc. 28 (2015), no. 1, 183--197.
24. Chen, Xiuxiong; Sun, Song. Calabi flow, geodesic rays, and uniqueness of constant scalar curvature Kähler metrics. Ann. of Math. (2) 180 (2014), no. 2, 407--454.
25. Chen, Xiuxiong; Donaldson, Simon. Integral bounds on curvature and Gromov-Hausdorff limits. J. Topol. 7 (2014), no. 2, 543--556.
26. Chen, Xiuxiong; Donaldson, Simon; Sun, Song. Kähler-Einstein metrics and stability. Int. Math. Res. Not. IMRN 2014, no. 8, 2119--2125.
27. Chen, Xiuxiong; Zhu, Meijun. Liouville energy on a topological two sphere. Commun. Math. Stat. 1 (2013), no. 4, 369--385.
28. Chen, Xiuxiong; Wang, Bing. On the conditions to extend Ricci flow(III). Int. Math. Res. Not. IMRN 2013, no. 10, 2349--2367.
29. Chen, Xiuxiong; Donaldson, Simon. Volume estimates for Kähler-Einstein metrics and rigidity of complex structures. J. Differential Geom. 93 (2013), no. 2, 191--201.
30. Chen, Xiuxiong; Donaldson, Simon. Volume estimates for Kähler-Einstein metrics: the three-dimensional case. J. Differential Geom. 93 (2013), no. 2, 175--189.
31. Chen, Xiuxiong; Zheng, Kai. The pseudo-Calabi flow. J. Reine Angew. Math. 674 (2013), 195--251.
32. Chen, Xiuxiong; Sun, Song. Space of Kähler metrics (V)—Kähler quantization. Metric and differential geometry, 19--41, Progr. Math., 297, Birkhäuser/Springer, Basel, 2012
33. Chen, Xiuxiong; He, Weiyong. The complex Monge-Ampère equation on compact Kähler manifolds. Math. Ann. 354 (2012), no. 4, 1583--1600.
34. Chen, Xiuxiong; Wang, Bing. The Kähler Ricci flow on Fano manifolds (I). J. Eur. Math. Soc. (JEMS) 14 (2012), no. 6, 2001--2038.
35. Chen, Xiuxiong; Wang, Bing. Space of Ricci flows I. Comm. Pure Appl. Math. 65 (2012), no. 10, 1399--1457.
36. Chen, Xiuxiong; He, Weiyong. The Calabi flow on Kähler surfaces with bounded Sobolev constant (I). Math. Ann. 354 (2012), no. 1, 227--261.
37. Chen, Xiuxiong; Wang, Bing. The Kähler Ricci flow on Fano surfaces (I). Math. Z. 270 (2012), no. 1-2, 577--587.
38. Chen, Xiuxiong; He, Weiyong. The space of volume forms. Int. Math. Res. Not. IMRN 2011, no. 5, 967--1009.
39. Chen, Xiuxiong; Tian, Gang; Zhang, Zhou. On the weak Kähler-Ricci flow. Trans. Amer. Math. Soc. 363 (2011), no. 6, 2849--2863.
40. Chen, Xiuxiong; Weber, Brian. Moduli spaces of critical Riemannian metrics with Ln2 norm curvature bounds. Adv. Math. 226 (2011), no. 2, 1307--1330.
41. Chen, Xiuxiong; He, Weiyong. The Calabi flow on toric Fano surfaces. Math. Res. Lett. 17 (2010), no. 2, 231--241.
42. Chen, Xiuxiong; Wang, Bing. Remarks on Kähler Ricci flow. J. Geom. Anal. 20 (2010), no. 2, 335--353.
43. Chen, Xiuxiong; Li, Haozhao. Stability of Kähler-Ricci flow. J. Geom. Anal. 20 (2010), no. 2, 306--334.
44. Chen, Xiuxiong; Sun, Song; Tian, Gang. A note on Kähler-Ricci soliton. Int. Math. Res. Not. IMRN 2009, no. 17, 3328--3336.
45. Chen, Xiuxiong; Li, Haozhao; Wang, Bing. Kähler-Ricci flow with small initial energy. Geom. Funct. Anal. 18 (2009), no. 5, 1525--1563.
46. Chen, Xiuxiong. Space of Kähler metrics. III. On the lower bound of the Calabi energy and geodesic distance. Invent. Math. 175 (2009), no. 3, 453--503.
47. Chen, Xiuxiong; Tang, Yudong. Test configuration and geodesic rays. Géométrie différentielle, physique mathématique, mathématiques et société. I. Astérisque No. 321, (2008), 139--167. ISBN: 978-285629-258-
48. Chen, Xiuxiong; Li, Haozhao. The Kähler-Ricci flow on Kähler manifolds with 2-non-negative traceless bisectional curvature operator. Chin. Ann. Math. Ser. B 29 (2008), no. 5, 543--556.
49. Chen, Xiuxiong; Tian, Gang. Geometry of Kähler metrics and foliations by holomorphic discs. Publ. Math. Inst. Hautes Études Sci. No. 107, (2008), 1--107.
50. Chen, Xiuxiong; Lebrun, Claude; Weber, Brian. On conformally Kähler, Einstein manifolds. J. Amer. Math. Soc. 21 (2008), no. 4, 1137--1168.
51. Chen, Xiuxiong; He, Weiyong. On the Calabi flow. Amer. J. Math. 130 (2008), no. 2, 539--570.
52. Chen, Xiuxiong. On Kähler manifolds with positive orthogonal bisectional curvature. Adv. Math. 215 (2007), no. 2, 427--445.
53. Chen, Xiuxiong; Ding, Weiyue. Ricci flow on surfaces with degenerate initial metrics. J. Partial Differential Equations 20 (2007), no. 3, 193--202.
54. Chen, Qing; Chen, Xiuxiong; He, Weiyong. Singular angles of weak limiting metrics under certain integral curvature bounds. Pacific J. Math. 231 (2007), no. 1, 35--49.
55. Chen, Xiuxiong; Lu, Peng; Tian, Gang. A note on uniformization of Riemann surfaces by Ricci flow. Proc. Amer. Math. Soc. 134 (2006), no. 11, 3391--3393.
56. Chen, Xiuxiong; Tian, Gang. Ricci flow on Kähler-Einstein manifolds. Duke Math. J. 131 (2006), no. 1, 17--73.
57. Chen, Xiuxiong. On the lower bound of energy functional E1. I. A stability theorem on the Kähler Ricci flow. J. Geom. Anal. 16 (2006), no. 1, 23--38.
58. Chen, Qing; Chen, Xiuxiong; Wu, Yingyi. The structure of HCMU metric in a K-surface. Int. Math. Res. Not. 2005, no. 16, 941--958.
59. Chen, Xiuxiong; Tian, Gang. Partial regularity for homogeneous complex Monge-Ampere equations. C. R. Math. Acad. Sci. Paris 340 (2005), no. 5, 337--340.
60. Chen, Xiuxiong; Tian, Gang. Uniqueness of extremal Kähler metrics. C. R. Math. Acad. Sci. Paris 340 (2005), no. 4, 287--290.
61. Chen, Xiuxiong. A new parabolic flow in Kähler manifolds. Comm. Anal. Geom. 12 (2004), no. 4, 837--852.
62. Calabi, Eugenio; Chen, Xiuxiong. The space of Kähler metrics. II. J. Differential Geom. 61 (2002), no. 2, 173--193.
63. Chen, Xiuxiong. Recent progress in Kähler geometry. Proceedings of the International Congress of Mathematicians, Vol. II (Beijing, 2002), 273--282, Higher Ed. Press, Beijing, 2002.
64. Chen, Xiuxiong; Tian, Gang. Ricci flow on Kähler-Einstein surfaces. Invent. Math. 147 (2002), no. 3, 487--544.
65. Chen, Xiuxiong. Calabi flow in Riemann surfaces revisited: a new point of view. Internat. Math. Res. Notices 2001, no. 6, 275--297.
66. Chen, Xiuxiong; Tian, Gang. Ricci flow on Kähler manifolds. C. R. Acad. Sci. Paris Sér. I Math. 332 (2001), no. 3, 245--248.
67. Guan, Daniel; Chen, Xiuxiong. Existence of extremal metrics on almost homogeneous manifolds of cohomogeneity one. Loo-Keng Hua: a great mathematician of the twentieth century. Asian J. Math. 4 (2000), no. 4, 817--829.
68. Chen, Xiuxiong. The space of Kähler metrics. J. Differential Geom. 56 (2000), no. 2, 189--234.
69. Chen, Xiuxiong. On the lower bound of the Mabuchi energy and its application. Internat. Math. Res. Notices 2000, no. 12, 607--623.
70. Chen, Xiuxiong. Obstruction to the existence of metric whose curvature has umbilical Hessian in a K-surface. Comm. Anal. Geom. 8 (2000), no. 2, 267--299.
71. Chen, Xiuxiong. Extremal Hermitian metrics on Riemann surfaces. Calc. Var. Partial Differential Equations 8 (1999), no. 3, 191--232.
72. Chen, Xiuxiong. Remarks on the existence of branch bubbles on the blowup analysis of equation −Δu=e2u in dimension two. Comm. Anal. Geom. 7 (1999), no. 2, 295--302.
73. Chen, Xiuxiong. Extremal Hermitian metrics on Riemannian surfaces. Internat. Math. Res. Notices 1998, no. 15, 781--797.
74. Chen, Xiuxiong. Weak limits of Riemannian metrics in surfaces with integral curvature bound. Calc. Var. Partial Differential Equations 6 (1998), no. 3, 189--226.
75. Chen, Xiuxiong; Peng, Chia-Kuei. Deformation of surfaces preserving principal curvatures. Differential geometry and topology (Tianjin, 1986–87), 63--70, Lecture Notes in Math., 1369, Springer, Berlin, 1989.

Email: chenxx1@shanghaitech.edu.cn

Office: S402, School of Creativity & Arts