1. 简单百科
  2. 王兵

王兵

王兵是中国科学技术大学北京大学数学科学学院的教授。王兵此后历任普林斯顿大学数学系讲师,纽约州立大学石溪分校西蒙斯几何与物理中心研究助理教授,威斯康星大学麦迪逊分校助理教授、副教授。他于2020年11月8日与陈秀雄成功证明了导数几何学中的“哈密顿田”和“偏零阶估计”两大核心猜想。

人物经历

教育经历

2003-2008,威斯康星大学麦迪逊分校数学系,博士生。

1998-2003,中国科学技术大学少年班,本科生。

工作经历

2018年至今,中国科学技术大学北京大学数学科学学院,教授。

2012-2018,威斯康星大学麦迪逊分校数学系,助理教授,副教授。

2011-2012,纽约州立大学石溪分校西蒙斯几何与物理中心,研究助理教授。

2008-2011,普林斯顿大学数学系,讲师。

期刊论文

2. On Ilmanen's multiplicity one conjecture for mean 曲率 flow with type-I mean curvature, (in collabration with 赫兹 Li), Journal of European Mathematical Society 24 (2022), no.1,37-135.

3. On the structure of Ricci shrinkers, (in collabration with H.Z. Li and Y. Li), Journal of functional analysis 280 (2021), 108955.

4.​​On the regular-convexity of Ricci shrinker limit spaces, (in collaboration with S.S. Huang, Y Li), Journal für die reine und angewandte Mathematik, 771(2021), 99-136.

5.Collapsing geometry with Ricci 曲率 bounded below and Ricci flow smoothing, (in collabration with S.S. Huang and X.C. Rong), Symmetry, Integrability and Geometry: Methods and Applications(SIGMA) 16(2020), no 123.

6.​​Heat Kernel on Ricci Shrinkers, (in collabration with Y. Li), Calculus of Variations and Partial Differential Equations, 59(2020), article number:194.

7. Space of Ricci flows(II)---part B: weak compactness of the flows, (in collabration with X.X.Chen), Journal of Differential Geometry, 116(2020), 1-123.

8. Remarks of weak-compactness along K\"{a}hler Ricci flow, (in collabration with X.X.Chen), Proceedings of the 7th International Congress of Chinese Mathematicians, 2019.

9. The extension problem of the mean 曲率 flow(I), (in collaboration with 赫兹 Li), Inventiones Mathematicae, 218(2019),no.3, 721-777.

10. Rigidity of 向量 Valued Harmonic maps of linear growth, (in collaboration with S.S. Huang), Geometriae Dedicata, 202 (2019),no1,357-371.

11. The Rigidity of Ricci shrinkers of dimension four, (in collabration with Y. Li), Transactions of American Mathematical Society, vol. 371(2019), no 10, 6949-6972.

12. The local entropy along Ricci flow---part A: the no-local-collapsing theorems, Cambridge Journal of 数学, vol. 6(2018), no, 3, 267-346.

13. K\"ahler-Ricci flow, K\"{a}hler-阿尔伯特·爱因斯坦 metric and K-stability, (in collaboration with S. Song, X.X.Chen), Geometry and Topology, vol. 22(2018), no. 6, 3145-3173.

14. Regularity scales and convergence of the Calabi flow,(in collabration with 赫兹 Li, K. Zheng), The Journal of Geometric Analysis, vol. 28(2018), no 3, 2050-2101.

15. Space of Ricci flows(II)---part A: moduli of singular Calabi-Yau space,(in collaboration with X.X.Chen), Forum of 数学, Sigma, vol. 5(2017).

16. On the structure of almost 阿尔伯特·爱因斯坦 manifolds,(in collaboration with G.Tian), Journal of American Mathematical Society, vol. 28(2015), no. 4, 1169-1209.

17. On the conditions to extend Ricci flow(III),(in collaboration with X.X.Chen), Int. 数学 Res. Notices, Vol. 2013, no. 10, 2349-2367.

18. On the conditions to extend Ricci flow(II),Int. Math. Res. Notices, Vol. 2012, no. 14, 3192-3223.

19. Space of Ricci flows(I),(in collaboration with X.X.Chen), Communications in Pure and Applied 数学, vol. 65(2012), no. 10, 1399-1457.

20. The K\"{a}hler Ricci flow on Fano manifolds (I),(in collaboration with X.X.Chen), Journal of European Mathematical Society, vol. 14(2012), no.6, 2001-2038.

21. The K\"{a}hler Ricci flow on Fano surfaces (I),(in collaboration with X.X.Chen), Mathematische Zeitschrift, Vol. 270(2012), no 1-2, 577-587.

22. Remarks on K\"{a}hler Ricci flow,(in collaboration with X.X.Chen), The Journal of Geometric Analysis, vol. 20(2010), no. 2.

23. K\"{a}hler Ricci flow with small initial $ 能量 (I),(in collaboration with X.X.Chen, 赫兹 Li), Geometric and Functional Analysis, vo. 18(2009), no. 5, 1525-1563.

24. On the conditions to extend Ricci flow,Int 数学 Res Notices(2008), Vol. 2008.

主讲课程

王兵的主讲课程有《实分析》《科学与社会研讨课》《纯粹数学前沿》《里奇流和球定理》《微分几何选讲》《几何分析研讨会/专题》《大学几何I》《微分几何》《离散数学》《微分方程》《微分流形》《矩阵和线性代数基础》《微积分III》《几何学高级专题》《复分析》《微积分和解析几何2》《微分方程和线性代数》《偏微分方程》《线性代数与应用》《多变量微积分》《微分几何导论》《高级多变量微积分》《线性代数和常微分方程》《微积分》等。

参考资料

中科院数学与系统科学研究院数学研究所中科院华罗庚数学重点实验室数学所讲座(第86讲)(The Institute Lecture).www.math.ac.cn.2024-09-21

王兵.中国科学技术大学.2022-04-02