Summer School on Computational Number Theory and Applications to Cryptography

怀俄明大学数学系将举办一个名为“计算数论和密码学应用暑期班”的暑期班。这次工作坊将沿袭落基山数学联盟暑期学校的成功风格，该联盟已经成功地举办了24年的夏季会议。会议定于2005年6月19日星期一至2006年7月7日星期五举行，为期19天。讲座只在工作日进行。计划在周末和周五下午自由开展社交活动。会议的每一天将从主讲人的两次全体讲座开始。计划每周有两位主要讲师。每天下午还将包括1-2个小时的特邀讲师演讲和参与者的演讲。除了讲课，会议还将包括学生专题、小组讨论、问答时间、问题会议和研讨会时间。暑期班的目的是教育研究生和教职员工有关计算数论和数学密码学的最新发展。暑期班将为学员提供计算数论及其在现代密码学中的后果的前沿调查。课程包括：素数和整数因式分解，代数数域和代数函数域的算术，离散对数问题和相关算法，公钥密码学，椭圆和超椭圆曲线密码学，配对和多元密码学。全体讲师包括埃里克·巴赫、丹·伯恩斯坦、雷纳特·舍德勒、约瑟夫·H·西尔弗曼和休·C·威廉姆斯。该计划的影响和进一步的目标是通过实践中的信息安全加强普通民众对数学在他们生活中的重要作用的理解，并帮助初中和高中教师为他们的课堂开发课程。这将帮助学生开始理解和享受密码学中出现的一些基本的数学和计算问题。暑期班将是打算参加未来主题项目的研究生和初级教员的理想选择，例如2006年秋季在IPAM或2006年秋季在菲尔兹研究所举办的专题项目。

The University of Wyoming Mathematics Department will be host to a Summer School entitled "Summer School on Computational Number Theory and Applications to Cryptography". This workshop will follow the successful style of the summer schools of the Rocky Mountain Mathematics Consortium that has been running successful summer conferences for twenty-four years. The conference is scheduled to last 19 days, from Monday June 19, 2005 to Friday July 7, 2006. Lectures will only take place during weekdays. Weekends and Friday afternoons are planned to be free for social activities. Each day of the meeting will begin with two plenary lectures by the main lecturers. It is planned to have two main lecturers per week. Each afternoon will also include 1-2 hours of talks of invited lecturers and presentations from the participants. In addition to the lectures, the conference will consist of student projects, group discussions, question and answer times, problem sessions and workshop periods. The objective of the summer school is to educate graduate students and faculty about the most recent developments in computational number theory and mathematical cryptography. The summer school will provide participants a cutting-edge survey of computational number theory and the consequences in modern day cryptography. Topics to be covered include: Primality and Integer Factorization, Arithmetic of Algebraic Number Fields and Algebraic Function Fields, the Discrete Logarithm Problem and related algorithms, Public Key Cryptography, Elliptic and Hyperelliptic Curve Cryptography, Pairings, and Multivariate Cryptography. Plenary lecturers include Eric Bach, Dan Bernstein, Renate Scheidler, Joseph H. Silverman, and Hugh C. Williams.The impact of the program and further goals are to enhance the general population's understanding of the important role that mathematics plays in their lives through information security in practice, and to help middle school and high school teachers develop lessons for their classrooms. This will help students begin to understand and enjoy some of the basic mathematical and computational issues that arise in cryptography. The summer school will be a ideal for graduate students and junior faculty who intend to participate in future thematic programs such as the one at IPAM in Fall 2006 or at the Fields Institute in Fall 2006.