陳兵龍

1992.9-1996.7,廣州中山大學數學系本科應用數學專業 獲學士學位；

1996.9--2000.7，廣州中山大學數學系基礎數學專業獲博士學位。 ^[1] 

2000－2004 廣州中山大學數學系講師

2004－今廣州中山大學數學系教授 ^[1] 

1.解決了Ricci flow 解的唯一性問題。

2.四維流形上Ricci flow with surgery 的研究，完成了Hamilton 關於具有正迷向曲率且不帶本性不可壓空間形式的四維流形的分類。

3.解決了Hamilton 關於Ricci flow的第三類奇點是soliton 的猜測。Bonnet–Myers 型定理。

4.完全解決了具有非負解析雙截曲率的凱勒流形上的全純函數空間維數估計的丘成桐猜測。

5.單值化問題，以及非負解析雙截曲率的凱勒流形的幾何的研究。

6．三維流形上Ricci flow with surgery 的研究。

這些學術論文發表在國際權威的數學雜誌 Journal of Differential Geometry, Invent.Math., Math.Ann.,等上。承擔一項國家自然科學基金（10401042）：Ricci flow 理論及其應用研究（主持）（2005-2007），一項教育部的優秀博士論文作者專項基金（200216）：復微分幾何中單值化定理研究（主持）（2003-2007）。

18. Compact Kähler manifolds homotopic to negatively curved Riemannian manifolds, Math. Ann., 370(2018): 1477–1489, with Xiaokui Yang.

Abstract: In this paper, we show that any compact Kähler manifold homotopic to a compact Riemannian manifold with negative sectional curvature admits a Kähler– Einstein metric of general type. Moreover, we prove that, on a compact symplectic manifold X homotopic to a compact Riemannian manifold with negative sectional curvature, for any almost complex structure J compatible with the symplectic form, there is no non-constant J -holomorphic entire curve f : C → X .

17. Euler characteristic numbers of spacelike manifolds, Asian J. Math. Vol. 21, No. 3(2017), pp. 591-598. with Kun Zhang.

Abstract. In this note, we prove that if a compact even dimensional manifold Mn with negative sectional curvature is homotopic to some compact space-like manifold Nn, then the signed Euler characteristic number of M is positive. We also show that the minimal volume conjecture of Gromov is true for all compact even dimensional space-like manifolds.

16. Path-connectedness of the moduli spaces of metrics with positive isotropic curvature on four- manifolds. Math. Ann. 366 (2016), no. 1-2, 819-851, with Xian-Tao Huang.

Abstract. We prove the path connectedness of the moduli spaces of metrics with positive isotropic curvature on certain compact four-dimensional manifolds.

15. Isometric embedding of negatively curved complete surfaces in Lorentz-Minkowski spaces, Pacif Jour. Math., vol. 276, no. 2, (2015), 347-367, with Le Yin.

14. A conformally invariant classification theorem in four dimensions, Comm. Anal. Geom. 22 (2014), no. 5, 811-831, with Xi-Ping Zhu.

14. Self-pairings on supersingular elliptic curves with embedding degree three, Finite Fields Appl. 28 (2014), 79-93, with Zhao Chang-An.

13. Local pinching estimates in 3-dim Ricci flow, Math. Res. Lett. 20 (2013), no. 5, 845-855, with Xu Guoyi; Zhang Zhuhong.

12. Smoothing positive currents and the existence of Ka ̈hler-Einstein metrics, Sci. China Math. 55 (2012), no. 5, 893-912, Bing-Long Chen.

12. Complete classification of compact four-manifolds with positive isotropic curvature, J. Diff. Geom, volume 91 (2012), 41-80, with S.-H. Tang, X.-P. Zhu.

09. Local foliations and optimal regularity of Einstein spacetimes, J. Geom. Phys. 59 (2009), no. 7, 913-941, with Philippe G. LeFloch.

09. Strong uniqueness of the Ricci flow, J. Diff. Geom. 82 (2009), no. 2, 363-382, Bing-Long Chen.

08. Injectivity radius of Lorentzian manifolds, Comm. Math. Phys. 278 (2008), no. 3, 679-713, with Philippe G. LeFloch.

07. Uniqueness and pseudolocality theorems of mean curvature flow, Comm. Anal. Geom, 15(3),25-80, (2007), with Le Yin.

06. Ricci Flow with Surgery on Four-manifolds with Positive Isotropic Curvature, J. Diff. Geom., 74 (2006), 177-264, with Xi-Ping Zhu.

06. Uniqueness of the Ricci Flow on Complete Noncompact Manifolds, J. Diff. Geom., 74 (2006), 119-154, with Xi-Ping Zhu.

06. Sharp dimension estimates of holomorphic functions and rigidity, Trans. Amer. Math. Soc. 358(2006), no. 4, 1435-1454, with Xiao-Yong Fu, Le Yin, Xi-Ping Zhu.

04. A uniformization theorem of complete noncompact Kahler surfaces with positive bisectional curvature, J. Diff. Geom., 67, 519-570 (2004), with Siu-Hung Tang, Xi-Ping Zhu.

03. On complete noncompact Kahler manifolds with positive bisectional curvature, Math. Ann., 327, 1–23, (2003), with Xi-Ping Zhu.

03. Ricci flow on compact Kahler manifolds of positive bisectional curvature, C. R. Acad. Sci. Paris. Ser., I 337(2003), 781–784, with Huai-Dong Cao, Xi-Ping Zhu.

02. A gap theorem for complete noncompact manifolds with nonnegative curvature, Comm. Anal. Geom. 10(2002),217-239, with Xi-Ping Zhu.

00. Complete Riemannian manifolds with pointwise pinched curvature, Invent. Math., 140 (2000), 423–452, with Xi-Ping Zhu. ^[1] 

2002年，獲全國百篇優秀博士學位論文獎 ^[1]  。

2010年，獲國家“傑出青年科學基金” ^[2]  。

2023年，獲第十九屆陳省身數學獎 ^[3]  。