代数，数论，费尔马大定理等介绍。
他的主要研究方向以及贡献是在与数论、代数学以及密码学有关的计算机算法上面。
Shoup's main research interests and contributions are computer algorithms relating to number theory, algebra, and cryptography.
崔国华(通讯作者)，男，1947年生，教授，博士生导师。主要研究方向：访问控制，密码体制的安全性分析，代数数论。
Cui Guohua, Male, born in 1947, Professor, Supervisor of PhD Candidates. Main research: access control, the security analysis of cryptosystem, algebra number theory.
在此讲座中，报告人将用实例展示代数和数论在信息安全，特别是密码系统设计中的应用。
In this lecture the speaker will demonstrate sample algebraic and number theory applications in information security, in particular, in the design of cryptosystems.
丢番图方程是数论中一个十分重要的研究课题，与代数数论、组合数学、代数几何等有密切联系。
Diophantine equation is an important subject in number theory and closely connected with algebraic number theory, combinatorics, algebraic geometry and computer science etc.
代数，数论，费尔马大定理等介绍。
Introduction to Algebra, Number Theory, Fermat's Last Theorem, etc.
十九世纪的代数学知识体系庞大，它包含置换群、矩阵、代数数论、代数几何等多个分支。
In the nineteenth century, the system of algebraic knowledge is enormous, which contains the permutation group, matrix, algebraic number theory, algebraic geometry and other branches.
自相似测度的研究可以追溯到上个世纪30年代，随着研究的深入，人们逐渐发现它与调和分析、代数数论、动力系统及维数的估计都有密切的联系。
The self-similar measure has been studied since 1930's, revealing connections with harmonic analysis, the theory of algebraic numbers, dynamical systems and Hausdorff dimension estimation.
自相似测度的研究可以追溯到上个世纪30年代，随着研究的深入，人们逐渐发现它与调和分析、代数数论、动力系统及维数的估计都有密切的联系。
The self-similar measure has been studied since 1930's, revealing connections with harmonic analysis, the theory of algebraic numbers, dynamical systems and Hausdorff dimension estimation.
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