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.
注意： 近日有多名学生咨询研究生导师的事情，鉴于研究生导师肩负的巨大责任，特此声明：本人不接收没有深入了解的同学作为研究生，特别地对于科大本科生，本人原则上只接收指导过大研计划和/或毕业设计的同学。（当然，如果你没有看到这句话，说明你对于了解我其实并没有兴趣，那就相忘于江湖吧）