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Yi Ouyang

Personal Information

Professor  

Research

    My research interest is Number Theory and Arithmetic Geometry, and their applications to cryptography and coding theory. Currently I am interested in the following subjects:

    (1)Fontaine theory of p-adic representations and (φ,Γ)-modules, and its connection to Iwasawa theory.

    (2)Theory of elliptic curves and its application in cryptography.

    (3)Class groups and class numbers of number fields and function fields, Cohen-Lenstra Heuristics.


    1.  Galois和Kummer对于代数数论发展的贡献, 厦门大学东南数学中心短期课程,2020年8月,中文版英文版

    2.  The China Legacy of Jean-Marc Fontaine, la Gazette des Mathématiciens No. 162,Octobre 2019, 15-17.

    3.  (冯克勤, 欧阳毅) 中法数论代数几何合作, 《清华数学90年》,清华大学, 2017.

    4.  仿佛来自虚空---亚历山大·格洛腾迪克的生平故事, 译自 Allyn Jackson的著名文章Comme Appelé du Néant, As If Summoned from the Void: The Life of Alexandre Grothendieck, Part I, Notices AMS, Vol 51, No. 9; Part II, Notices AMS, Vol 51, No. 10, 发表于《数学译林》.

    5.  黎曼假设有关的数学巨匠和数学进展. 见《代数学III:代数学进阶》数字课程网站 (http://abook.hep.com.cn/1251847).

    6.  艾米·诺特小传.  同上.

    7.  二次曲线和p进数.   同上.

    8.  Inverse limits and Galois Theory. 同上.

    9.  Introduction to Iwasawa theory.

    10.(葛力明, 欧阳毅, 田野, 邢朝平, 徐飞) 冯克勤先生简介, SCIENTIA SINICA Mathematica, 2021.