陳兵龍,男,1974年生于山西汾西。1992-2000年,就讀于廣州中山大學(xué)數(shù)學(xué)系,獲博士學(xué)位。
人物經(jīng)歷
學(xué)習(xí)經(jīng)歷
1992.9-1996.7,就讀于廣州中山大學(xué)數(shù)學(xué)系本科應(yīng)用數(shù)學(xué)專業(yè),獲學(xué)士。
1996.9--2000.7,于廣州中山大學(xué)數(shù)學(xué)系純粹數(shù)學(xué)專業(yè)獲博士學(xué)位。
工作經(jīng)歷
2000-2004 廣州中山大學(xué)數(shù)學(xué)系講師
2004-今 廣州中山大學(xué)數(shù)學(xué)系教授
曾任數(shù)學(xué)系主任,現(xiàn)為數(shù)學(xué)與計算科學(xué)學(xué)院副院長。
主要貢獻
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(guān)于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(guān)于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(fù)解析雙截曲率的凱勒流形上的全純函數(shù)空間維數(shù)估計的丘成桐猜測。
5.單值化問題,以及非負(fù)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(xué)術(shù)論文發(fā)表在國際權(quán)威的數(shù)學(xué)雜志 Journal of Differential Geometry, Invent.數(shù)學(xué), Math.Ann.,等上。目前承擔(dān)一項國家自然科學(xué)基金(10401042):Ricci flow 理論及其應(yīng)用研究(主持)(2005-2007),一項教育部的優(yōu)秀博士論文作者專項基金(200216):復(fù)微分幾何中單值化定理研究(主持)(2003-2007)。
1. Compact K?hler manifolds homotopic to negatively curved Riemannian manifolds, 數(shù)學(xué) Ann., 370(2018): 1477–1489, with Xiaokui Yang.
Abstract: In this paper, we show that any compact K?hler manifold homotopic to a compact Riemannian manifold with negative sectional curvature admits a K?hler– 阿爾伯特·愛因斯坦 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 .
2. Euler characteristic numbers of spacelike manifolds, Asian J. 數(shù)學(xué) 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.
3. Path-connectedness of the moduli spaces of metrics with positive isotropic curvature on four- manifolds. 數(shù)學(xué) 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.
4. Isometric embedding of negatively curved complete surfaces in Lorentz-Minkowski spaces, Pacif Jour. 數(shù)學(xué), vol. 276, no. 2, (2015), 347-367, with Le Yin.
5. A conformally invariant classification theorem in four dimensions, Comm. Anal. Geom. 22 (2014), no. 5, 811-831, with Xi-Ping Zhu.
6. Self-pairings on supersingular elliptic curves with embedding degree three, Finite Fields APPL 28 (2014), 79-93, with Zhao Chang-An.
7. Local pinching estimates in 3-dim Ricci flow, 數(shù)學(xué) Res. Lett. 20 (2013), no. 5, 845-855, with Xu Guoyi; Zhang Zhuhong
8. Smoothing positive currents and the existence of Ka ?hler-阿爾伯特·愛因斯坦 metrics, Sci. China Math. 55 (2012), no. 5, 893-912, Bing-Long Chen.
9. 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.
10. Local foliations and optimal regularity of 阿爾伯特·愛因斯坦 spacetimes, J. Geom. Phys. 59 (2009), no. 7, 913-941, with Philippe G. LeFloch.
11. Strong uniqueness of the Ricci flow, J. Diff. Geom. 82 (2009), no. 2, 363-382, Bing-Long Chen.
12. Injectivity radius of Lorentzian manifolds, Comm. 數(shù)學(xué) Phys. 278 (2008), no. 3, 679-713, with Philippe G. LeFloch.
13. Uniqueness and pseudolocality theorems of mean curvature flow, Comm. Anal. Geom, 15(3),25-80, (2007), with Le Yin.
14. Ricci Flow with Surgery on Four-manifolds with Positive Isotropic Curvature, J. Diff. Geom., 74 (2006), 177-264, with Xi-Ping Zhu.
15. Uniqueness of the Ricci Flow on Complete Noncompact Manifolds, J. Diff. Geom., 74 (2006), 119-154, with Xi-Ping Zhu.
16. Sharp dimension estimates of holomorphic functions and rigidity, Trans. Amer. 數(shù)學(xué) Soc. 358(2006), no. 4, 1435-1454, with Xiao-Yong Fu, Le Yin, Xi-Ping Zhu.
17. 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.
18. On complete noncompact Kahler manifolds with positive bisectional curvature, 數(shù)學(xué) Ann., 327, 1–23, (2003), with Xi-Ping Zhu.
19. Ricci flow on compact Kahler manifolds of positive bisectional curvature, C. R. Acad. Sci. 巴黎 Ser., I 337(2003), 781–784, with Huai-Dong Cao, Xi-Ping Zhu.
20. A gap theorem for complete noncompact manifolds with nonnegative curvature, Comm. Anal. Geom. 10(2002),217-239, with Xi-Ping Zhu.
21. Complete Riemannian manifolds with pointwise pinched curvature, Invent. 數(shù)學(xué), 140 (2000), 423–452, with Xi-Ping Zhu.
獲獎記錄
2002年曾獲全國百篇優(yōu)秀博士學(xué)位論文獎。2010年獲國家“杰出青年科學(xué)基金” ? 。2014年入選“長江學(xué)者”特聘教授。
2023年2月19日,獲得第十九屆陳省身數(shù)學(xué)獎。
參考資料 >
剛剛,華羅庚數(shù)學(xué)獎等中國三大數(shù)學(xué)獎在漢揭曉.今日頭條-極目新聞.2023-02-19