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王兵
來源:互聯網

王兵是中國科學技術大學北京大學數學科學學院的教授。王兵此后歷任普林斯頓大學數學系講師,紐約州立大學石溪分校西蒙斯幾何與物理中心研究助理教授,威斯康星大學麥迪遜分校助理教授、副教授。他于2020年11月8日與陳秀雄成功證明了導數幾何學中的“哈密頓田”和“偏零階估計”兩大核心猜想。

人物經歷

教育經歷

2003-2008,威斯康星大學麥迪遜分校數學系,博士生。

1998-2003,中國科學技術大學少年班,本科生。

工作經歷

2018年至今,中國科學技術大學北京大學數學科學學院,教授。

2012-2018,威斯康星大學麥迪遜分校數學系,助理教授,副教授。

2011-2012,紐約州立大學石溪分校西蒙斯幾何與物理中心,研究助理教授。

2008-2011,普林斯頓大學數學系,講師。

期刊論文

2. On Ilmanen's multiplicity one conjecture for mean 曲率 flow with type-I mean curvature, (in collabration with 赫茲 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 赫茲 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 數學, vol. 6(2018), no, 3, 267-346.

13. K\"ahler-Ricci flow, K\"{a}hler-阿爾伯特·愛因斯坦 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 赫茲 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 數學, Sigma, vol. 5(2017).

16. On the structure of almost 阿爾伯特·愛因斯坦 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. 數學 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 數學, 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 $E_1$ 能量 (I),(in collaboration with X.X.Chen, 赫茲 Li), Geometric and Functional Analysis, vo. 18(2009), no. 5, 1525-1563.

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

主講課程

王兵的主講課程有《實分析》《科學與社會研討課》《純粹數學前沿》《里奇流和球定理》《微分幾何選講》《幾何分析研討會/專題》《大學幾何I》《微分幾何》《離散數學》《微分方程》《微分流形》《矩陣和線性代數基礎》《微積分III》《幾何學高級專題》《復分析》《微積分和解析幾何2》《微分方程和線性代數》《偏微分方程》《線性代數與應用》《多變量微積分》《微分幾何導論》《高級多變量微積分》《線性代數和常微分方程》《微積分》等。

參考資料 >

中科院數學與系統科學研究院數學研究所中科院華羅庚數學重點實驗室數學所講座(第86講)(The Institute Lecture).www.math.ac.cn.2024-09-21

王兵.中國科學技術大學.2022-04-02

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