陈秀雄

上海科技大学数学科学研究所创始所长、教授

陈秀雄

陈秀雄，男，浙江青田县山口镇人，毕业于美国宾西法尼亚大学，纽约州立大学石溪分校数学系教授、上海科技大学数学科学研究所创始所长、特聘教授。[0][1]2014年5月，陈秀雄与英国数学家唐纳森、孙崧博士合作，解决了被誉为“复几何领域自卡拉比猜想解诀后最重要的问题”的“丘成桐猜想”。[2]2020年11月，陈秀雄与王兵合作，成功证明困扰数学界20多年的“哈密尔顿-田”和 “偏零阶估计”核心猜想。[3]2021年11月，陈秀雄与合作者程经睿解出了一个四阶完全非线性椭圆方程，解决了若干有关凯勒流形上常标量曲率度量和卡拉比极值度量的著名问题。[4]

陈秀雄，男，浙江青田县山口镇人，毕业于美国宾西法尼亚大学，纽约州立大学石溪分校数学系教授、上海科技大学数学科学研究所创始所长、特聘教授。[1][2]

2014年5月，陈秀雄与英国数学家唐纳森、孙崧博士合作，解决了被誉为“复几何领域自卡拉比猜想解诀后最重要的问题”的“丘成桐猜想”。[3]2020年11月，陈秀雄与王兵合作，成功证明困扰数学界20多年的“哈密尔顿-田”和 “偏零阶估计”核心猜想。[4]2021年11月，陈秀雄与合作者程经睿解出了一个四阶完全非线性椭圆方程，解决了若干有关凯勒流形上常标量曲率度量和卡拉比极值度量的著名问题。[5]

2019年，陈秀雄因与合作者解决了“丘成桐猜想”，获美国数学会维布伦奖，同年还获2019年度西蒙斯学者奖。[1]2023年8月31日，陈秀雄入选2023年中国科学院院士增选有效候选人名单。[6]

教育经历

陈秀雄是青田县山口镇人，中学就读于青田中学。1982年高考，陈秀雄以全省前100名、全市第1名的成绩被中国科技大学录取。从中国科大毕业后，陈秀雄就读中国科学院研究生院。1989年，陈秀雄赴美留学，攻读博士学位，随后于1994年获得美国宾西法尼亚大学数学专业博士学位。[1][2]

主要经历

在1994年至1996年间，陈秀雄在加拿大麦克马斯特大学担任讲师。[2]1996年至1998年，在美国斯坦福大学博士后。从1998年开始，担任普林斯顿大学助理教授。2002年，陈秀雄担任威斯康星大学麦迪逊分校副教授，随后于2005年担任教授。[2]

2008年，陈秀雄受英国数学家唐纳森教授之邀共同研究卡勒-爱因斯坦度量的存在性。次年，陈秀雄获聘中国科大首批“大师讲席（II）”教授。[1]从2010年开始，陈秀雄担任美国纽约州立大学石溪分校教授。2014年5月，陈秀雄教授和英国数学家唐纳森、中科大年轻校友孙崧博士合作，成功解决了被誉为“复几何领域自卡拉比猜想解诀后最重要的问题”的“丘成桐猜想”。2017年11月，陈秀雄担任上海科技大学数学科学研究所创始所长、特聘教授。[2][3]

2019年，陈秀雄因与合作者解决了“丘成桐猜想”，获美国数学会维布伦奖，同年还获2019年度西蒙斯学者奖，他是第三位获此荣誉的华人学者。[1]2020年11月，陈秀雄与王兵运用新思想和新方法，证明了“哈密尔顿-田”和“偏零阶估计”这两个困扰数学界20多年的核心猜想，于国际数学期刊《微分几何学杂志》发表了这一成果。[4]

2021年11月，陈秀雄合作者程经睿解出了一个四阶完全非线性椭圆方程，成功证明“强制性猜想”和“测地稳定性猜想”，解决了若干有关凯勒流形上常标量曲率度量和卡拉比极值度量的著名问题。[5]2023年8月31日，陈秀雄入选2023年中国科学院院士增选有效候选人名单。[6]

研究方向

陈秀雄主要研究领域是大范围微分几何及非线性偏微分方程，着力于研究Kahler（卡勒）几何中的极值度量，Kahler-Ricci（卡勒-里奇）流和Calabi（卡拉比）流的研究。[7]

科研成果

时间合作人成果
2014年5月英国数学家唐纳森、中科大校友孙崧博士解决了被誉为“复几何领域自卡拉比猜想解诀后最重要的问题”的“丘成桐猜想”
2020年11月王兵成功证明了“哈密尔顿-田”和“偏零阶估计”这两个国际数学界20多年悬而未决的核心猜想
2021年11月程经睿解出了一个四阶完全非线性椭圆方程，成功证明“强制性猜想”和“测地稳定性猜想”这两个国际数学界60多年悬而未决的核心猜想，解决了若干有关凯勒流形上常标量曲率度量和卡拉比极值度量的著名问题

参考资料：[3][4][5]

论文与著作

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.

参考资料：[2]

人物评价

陈秀雄是在Kahler几何领域作出主要贡献的数学家之一。（前法国数学会主席、前欧洲数学主席、现巴黎高等研究所所长 Jean-Pierre Bourguignon（让-皮埃尔·布吉尼翁）评）[7]

获得荣誉

honor维布伦奖
名称美国数学会
time2019年
type
honor西蒙斯学者奖
time2019年
type
honor中国科学院院士
time2023年
type

参考资料：[1][6]

参考资料 7

  1. 浙江丽水青田籍数学家陈秀雄在微分几何领域取得重大突破 — 中国小康网
  2. 陈秀雄 — 上海科技大学
  3. 中英数学家破解“卡勒—爱因斯坦度量”存在性之丘成桐猜想 — 中国政府网
  4. 我国学者攻克数学难题 历时11年证明微分几何学核心猜想 — 央广网
  5. 中科大团队成功证明两个国际数学界60多年悬而未决的猜想_教育家_澎湃新闻-The Paper — 澎湃新闻
  6. 关于公布2023年中国科学院院士增选有效候选人名单的公告 — 中国科学院
  7. 重磅!两名青田籍科学家入选院士增选有效候选人名单! — 微信公众平台
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