欧阳毅  (教授)

办公地点：管理科研楼1327

联系方式：安徽合肥中国科学技术大学数学科学学院 邮编：230026

学位：博士

毕业院校：University of Minnesota

学科：数学

   
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  1.  Yi Ouyang and Jianfeng Xie, The growth of Tate-Shafarevich groups in cyclic extensions, Compositio Math. 158 (2022), 2014–2032.

  2. Yi Ouyang, Sen Wang and Xianhong Xie, Almost balanced and uncorrelated quaternary sequence pairs of even length. JUSTC, 2022, 52(3): 4.

  3. Xianhong Xie, Yi Ouyang, Honggang Hu and Ming Mao, Construction of three classes of Strictly Optimal Frequency-Hopping Sequence Sets, , Advances in Mathematics of Communications 2022.  doi: 10.3934/amc.2022024

  4. Jianing Li， Yi Ouyang, Yue Xu, On abelian 2-ramification torsion modules of quadratic fields, Sci. China Math., 2022, doi: 10.1007/s11425-021-1946-0.

  5. Bei Wang, Songsong Li, Yi Ouyang and Honggang Hu. Ready-Made Short Basis for GLV+GLS on High Degree Twisted Curves, AIMS Mathematics, 2022, 7(1): 306-314. doi: 10.3934/math.2022021.

  6. Bei Wang, Xianhong Xie, Songsong Li, Yi Ouyang and Honggang Hu, General 4-GLV Lattice Reduction Algorithms, Proceedings of 2021 17th International Conference on Computational Intelligence and Security (CIS’2021), 430-434, 2021.

  7. Jianing Li, Yi Ouyang, Yue Xu, 阿贝尔p 分歧扭子群和新Cohen-Lenstra 猜想, (Abelian p-ramification groups and new Cohen-Lenstra heuristics), Sci Sin Math. 51(2021), No. 10, 1635-1654.

  8.  Bei Wang, Yi Ouyang， Songsong Li  and Honggang Hu: A New Twofold Cornacchia-Type Algorithm and Its Applications, Advances in Mathematics of Communications 2021, doi:10.3934/amc.2021026.

  9. Jianing Li, Yi Ouyang, Yue Xu and Shenxing Zhang, l-Class groups of fields in Kummer towers, Publ. Mat. 66 (2022), 235–267.

  10. Songsong Li, Yi Ouyang and Zheng Xu, Endomorphism rings of supersingular elliptic curves over Fp,，Finite Fields Appl. 62(2020), February 2020, 101619.

  11. Songsong Li, Yi Ouyang and Zheng Xu, Neighborhood of the supersingular elliptic curve isogeny graph at j=0 and 1728, Finite Fields Appl. 61(2020), January 2020, 101600.

  12. Yi Ouyang and Zheng Xu, Loops of isogeny graphs of supersingular elliptic curves at j=0, Finite Fields Appl. 58 (2019), 174-176. (local)

  13. Yi Ouyang and Xianhong Xie, Linear complexity of generalized cyclotomic sequences of period 2pm, Des. Codes Cryptogr. 87 (2019), no. 11, 2585-2596. (local)

  14. Yang Liu and Yi Ouyang, On binary quadratic forms modulo n, Commun. Math. Stat. 7 (2019), no. 1, 61-67. (local)

  15. Songsong Li and Yi Ouyang, Counting the solutions of λ1x1k`+… λt xtkt≡ c mod n, J. Number Theory 187(2018), 41-65. (local)

  16. Bei Wang, Yi Ouyang and Honggang Hu, Efficient Pairing Computation on Twisted Weierstrass Curves, Chinese J. Electronics 27(2018), 739-745.(local)

  17. Yi Ouyang and Jinbang Yang, On a conjecture of Wan about limiting Newton polygons, Finite Fields Appl. 41(2016), 64-71. (local)

  18. Yi Ouyang and Shenxing Zhang, Newton polygons of L-functions of polynomials xd+axd-1^with p≡-1 mod d, Finite Fields Appl. 37(2016), 285-294. (local)

  19. Yi Ouyang and Shenxing Zhang, Birch's lemma over global function fields, Proc. Amer. Math. Soc. 145(2017), 577-584.

  20. Yi Ouyang and Jinbang Yang, Newton Polygons of L functions of polynomials xd+ax, J. Number Theory 160(2016), 478-491.

  21. Yi Ouyang and Shenxing Zhang, On second 2-descent and non-congruent numbers, Acta Arith. 170 (2015), 343-360. Errata, Acta Arith. 202 (2022), 203-203.

  22. Yi Ouyang and Zhe Zhang, Hilbert genus fields of real biquadratic fields, Ramanujan J. 37(2015) 345-363.

  23. Yi Ouyang and Zhe Zhang, Hilbert genus fields of biquadratic fields, Sci. China Math. 57, No. 10(2014), 2111--2122.

  24. Yi Ouyang and Jinbang Yang, On the cohomology of semi-stable p-adic Galois representations, C. R. Math. Acad. Sci. Paris Vol. 352(2014), 557--561.

  25. Yi Ouyang and Shenxing Zhang, On non-congruent numbers with 1 modulo 4 prime factors, Sci. China Math. 57, No. 3(2014), 649--658.

  26. Yi Ouyang, Lectures on p-adic zeta functions and (φ,Γ)-modules, in Number Theory and Related Area, pp. 85-147, 2013.

  27. Yi Ouyang, F. Xu, C. Xing and P. Zhang, Number Theory and Related Area, editor, Advanced Lecture in Mathematics, Vol.27, Higher Education Press and International Press, 2013.

  28. Yiwen Ding and Yi Ouyang, A simple proof of Dieudonné-Manin classification Theorem, Acta. Math. Sin. (Engl. Ser.)  Vol. 28, No. 8 (2012), 1553--1558.

  29. Yi Ouyang and Hang Xue, Class numbers of Cyclic 2-extensions and Gross conjecture over Q, Sci. China Math. Vol. 53, No. 9 (2010), 2447--2462.

  30. Kumar Murty and Yi Ouyang, The growth of Selmer ranks of an abelian variety with complex multiplication, Pure and Appl. Math. Quarterly 2, No. 2(2006), 539-555.

  31. Yi Ouyang, The Gross conjecture over rational function fields, Science in China, Ser. A. Mathematics 48, No. 12 (2005), 1609-1617.

  32. Yi Ouyang, The universal Kolyvagin recursion implies Kolyvagin recursion, Acta. Math. Sinica, English Ser. 23, No.7 (2007), 1163-1172.

  33. Yi Ouyang,On the universal norm distribution, J. Ramanujan Math. Soc. 17, No. 4 (2002), 287--311.

  34. Greg W. Anderson and Yi Ouyang, A note on the cyclotomic Euler systems and the double complex method, Can. J. Math. 55, No.4(2003), 673--692

  35. Yi Ouyang, The universal norm distribution and Sinnott's index formula, PAMS 130(2002), No. 8, 2203-2213.

  36. Yi Ouyang, The group cohomology of universal ordinary distribution, Crelle 537(2001), 1--32.

  37. My thesis Group cohomology of the universal ordinary distribution and its applications, University of Minnesota, advisor: Greg William Anderson. 2000.

  38. Yi Ouyang and Fei Xu, Riemann-Hurwitz formula in Basic Zs-extensions, Acta Arith.LXXXI.1 (1997), 1--10.