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魏达盛

时间:2014-07-29  来源:文本大小:【 |  | 】  【打印
 
 

个人简况 

姓名: 魏达盛

最高学历:博士

最高学位:博士

毕业院校:中国科技大学

研究方向:算术几何,数论

 

主要成果:

  1. 确定了环面的主齐性空间整点的存在性;
  2. 研究了局部域最大阿贝尔扩域塔;
  3. 证明了分圆整数表三平方和满足局部整体原则。

 

Publications:

1) C. Liu, D. Wei, L-functions of Witt coverings, Math. Z. 255 (2007), 95-115

2) C. Ji, D. Wei, On the number of certain Galois extensions of local fields, Proc. Amer. Math. Soc. 135 (2007), 3041-3047

3) C. Ji, D. Wei, Sums of integral squares in cyclotomic fields, C. R. Acad. Sci. Paris, Ser.1 (2007), 413-416

4) D. Wei, F. Xu, Tower of the maximal abelian extensions of local fields and its application, Manuscripta Math. 129 (2009),1-28

5) D. Wei, F. Xu, Appendix: Sum of three squares in a cyclotomic field, Compositio Math. 145 (2009), 361

6) D. Wei, The sum of two integral squares in , Acta Arith. 147 (2011), no 3,253-260

7) D. Wei, F. Xu, Integral points for multi-norm tori, Proc. Lond. Math. Soc. 104 (2012), no.5,1019-1044

8) D. Wei, F. Xu, Integral points for groups of multiplicative type, Adv. Math. 232 (2013), no. 1,36-56

9) D. Wei, On the diophantine equation , Sci. China Math. 56 (2013), no. 2, 227-238

10) D. Wei, On the sum of two integral squares in the imaginary quadratic field, Sci. China Math. 57 (2014), no.1, 49-60

11) D. Wei, The unramified Brauer group of norm one tori, Adv. Math. 254 (2014), 642-663

12) D. Wei, The sum of two integral squares in certain quadratic fields, Forum Math., published online, [doi:10.1515/forum-2012-0167].

13) C. Demarche, D. Wei, Hasse principle and weak approximation for multinorm equations, Israel J. Math., 202 (2014), 275–293.

14) D. Wei, On the equation P(t)=N_{K/k}(\Xi), Proc. Lond. Math. Soc., to appear, [doi:10.1112/plms/pdu035].

15) U. Derenthal, A. Smeets, D. Wei, Universal torsors and values of quadratic polynomials represented by norms, Math. Ann., to appear, [doi:10.1007/s00208-014-1106-7].

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