| Career • 2017.11-present: Founding Director, Distinguished Adjunct Professor, IMS of Shanghaitech University • 2010-present: Professor, Stony Brook University, New York • 2005-2010: Professor, University of Wisconsin-Madison • 2002-2005: Associate Professor, University of Wisconsin-Madison • 1998-2002: Assistant Professor, Princeton University • 1996-1998: Postdoc, Stanford University • 1994-1996: Lectuer, McMaster University, Canada Education 1989-1994, PhD in Mathematics, University of Pennsylvania， 1987-1989, M.A. in Mathematics, Graduate school of Chinese Academy of Sciences and Graduate school of University of Science and Technology of Chine(Beijing) 1982-1987, B.S. in Mathematics, University of Science and Technology of China Research Interests Differential Geometry, Complex Differential Geometry, Partial Differential Equations
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 |
